{"id":30,"date":"2020-03-06T16:23:22","date_gmt":"2020-03-06T16:23:22","guid":{"rendered":"http:\/\/ds-wordpress.haverford.edu\/ticha-resources\/test\/?post_type=chapter&#038;p=30"},"modified":"2021-11-23T20:21:13","modified_gmt":"2021-11-23T20:21:13","slug":"unit-2-numbers","status":"publish","type":"chapter","link":"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/chapter\/unit-2-numbers\/","title":{"raw":"Numbers","rendered":"Numbers"},"content":{"raw":"<div class=\"textbox shaded\">\r\n\r\nThis module is an introduction to the number system in Colonial Valley Zapotec, a form of Valley Zapotec attested in writing during the [pb_glossary id=\"1136\"]Mexican Colonial Period[\/pb_glossary]. This chapter could be a good place to start your study, though it might be helpful to complete <a href=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/chapter\/ticha-pedagogical-unit-1-introduction-to-the-ticha-project\/\" target=\"_blank\" rel=\"noopener\">Ticha<\/a> or <a href=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/chapter\/colonial-documents-and-archives\/\" target=\"_blank\" rel=\"noopener\">Colonial Documents and Archives<\/a> first. After reading Numbers, you may find it useful to continue with <a href=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/chapter\/language-shift\/\" target=\"_blank\" rel=\"noopener\">Language Shift<\/a> or <a href=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/chapter\/reclaiming-our-languages\/\" target=\"_blank\" rel=\"noopener\">Reclaiming our Languages<\/a>.\r\n\r\nResources in this module: <a href=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/chapter\/teaching-summary-numbers\/\">Teaching Summary<\/a> \u00b7 <a href=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/chapter\/numbers-answer-key\/\" target=\"_blank\" rel=\"noopener\">Answer Key<\/a> \u00b7 <a href=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/recursos-de-ticha\/chapter\/numeros\/\">Spanish Version<\/a>\r\n\r\n<\/div>\r\n<h1><img class=\"size-full wp-image-221 aligncenter\" src=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/wp-content\/uploads\/sites\/2\/2020\/03\/Screenshot-2020-07-07-16.30.07.png\" alt=\"\" width=\"2128\" height=\"34\" \/><\/h1>\r\n<h1>1. Introduction<\/h1>\r\nThe text in the image below is from a grammar about Valley Zapotec which was published in 1578. The grammar is credited to a Spanish friar Juan de Cordova, though many unnamed Zapotec people contributed as well. The page in Figure 1 shows the Colonial Valley Zapotec words for the numbers 1-19.\r\n\r\n&nbsp;\r\n\r\n[caption id=\"attachment_124\" align=\"aligncenter\" width=\"369\"]<a href=\"https:\/\/ticha.haverford.edu\/en\/texts\/cordova-arte\/208\/original\/\" target=\"_blank\" rel=\"noopener noreferrer\"><img class=\"wp-image-124 size-full\" src=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/wp-content\/uploads\/sites\/2\/2020\/03\/Screen-Shot-2020-06-25-at-2.03.49-PM.png\" alt=\"\" width=\"369\" height=\"541\" \/><\/a> Figure 1.\u00a0 Colonial Valley Zapotec numbers 1 through 19 (Cordova 1578: 102r; John Carter Brown Library, via <a href=\"https:\/\/archive.org\/details\/arteenlenguazapo00juan\/page\/n213\/mode\/2up\">archive.org<\/a>; see also <a href=\"https:\/\/ticha.haverford.edu\/en\/texts\/cordova-arte\/208\/original\/\">Ticha<\/a>)[\/caption]\r\n\r\nZapotec languages (there are many!) belong to the Otomanguean stock and are indigenous to what is now Oaxaca, Mexico. There are probably over 400,000 speakers of Zapotec languages today, and many Zapotec speakers are actively resisting linguistic and cultural threats from deeply embedded discriminatory beliefs and behaviors that deny and devalorize the Zapotec language, people, and knowledge.\r\n<h1>2. Learning to read Cordova: Numbers 1-4<\/h1>\r\nEven though this book is printed, you might find it more challenging to read than modern printed books. Learning to read older printed books is a skill you can practice! Let\u2019s take a look at Figure 2, which is a close up of the numbers 1-4.\r\n\r\n&nbsp;\r\n\r\n[caption id=\"attachment_125\" align=\"aligncenter\" width=\"582\"]<a href=\"https:\/\/ticha.haverford.edu\/en\/texts\/cordova-arte\/208\/original\/\" target=\"_blank\" rel=\"noopener noreferrer\"><img class=\"wp-image-125 size-full\" src=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/wp-content\/uploads\/sites\/2\/2020\/03\/Screen-Shot-2020-06-25-at-2.09.27-PM.png\" alt=\"\" width=\"582\" height=\"153\" \/><\/a> Figure 2.\u00a0 Colonial Valley Zapotec numbers 1 through 4 (Cordova 1578: 102r; John Carter Brown Library, via <a href=\"https:\/\/archive.org\/details\/arteenlenguazapo00juan\/page\/n213\/mode\/2up\">archive.org<\/a>; see also <a href=\"https:\/\/ticha.haverford.edu\/en\/texts\/cordova-arte\/208\/original\/\">Ticha<\/a>)[\/caption]\r\n\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Exercise 2.1<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">(a) Transcribe (i.e. write out) what you see in Figure 2.\r\n(b) Compare your transcription with a classmate\u2019s.<\/div>\r\n<\/div>\r\nHere\u2019s my transcription:\r\n<div class=\"textbox shaded\">\r\n<p style=\"padding-left: 40px\">VNo. T\u01d2bi. vel. ch\u00e4ga. 1<\/p>\r\n<p style=\"padding-left: 40px\">\u00b6Dos. T\u00f4pa. l. c\u01ceto. 2<\/p>\r\n<p style=\"padding-left: 40px\">\u00b6Tres. Ch\u01d2na. l. c\u00e4yo. 3<\/p>\r\n<p style=\"padding-left: 40px\">\u00b6Quatro. T\u00e4pa. l. t\u01cea. 4<\/p>\r\n\r\n<\/div>\r\nThere\u2019s lots of things to talk about even in these four lines! Let\u2019s go back to just the first line:\r\n<div class=\"textbox shaded\">VNo. T\u01d2bi. vel. ch\u00e4ga. 1<\/div>\r\n<ul>\r\n \t<li>The book was not printed digitally like today, but with metal casts of individual letters that could be arranged in lines to make a page. This technique is known as [pb_glossary id=\"320\"]movable-type printing[\/pb_glossary]. An image of movable type can be found in Figure 3. (You may sometimes find a letter was placed upside down or a similarly shaped letter was substituted for an expected letter\u2014it's easy to imagine how this could happen!)<\/li>\r\n<\/ul>\r\n[caption id=\"attachment_304\" align=\"aligncenter\" width=\"450\"]<a href=\"https:\/\/www.lettermodel.org\/wordpress\/?attachment_id=1377\"><img class=\"wp-image-304 size-full\" src=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/wp-content\/uploads\/sites\/2\/2020\/03\/Moyen_Canon_type.jpg\" alt=\"\" width=\"450\" height=\"525\" \/><\/a> Figure 3. Example of moveable type (Blokland 2012)[\/caption]\r\n<ul>\r\n \t<li>V: The V is in the form of an ornate woodcut.\u00a0 Sometimes these can be quite elaborate and examples of other woodcuts can be seen in Figure 4. Figure 5 shows how these woodcuts would work\u2014much like the moveable type! (The use of a &lt;v&gt; where we might expect a &lt;u&gt; nowadays is typical.)<\/li>\r\n<\/ul>\r\n&nbsp;\r\n\r\n[caption id=\"attachment_305\" align=\"aligncenter\" width=\"521\"]<a href=\"https:\/\/designobserver.com\/feature\/initial-caps-the-birth-of-illustrated-typography\/39885\"><img class=\"wp-image-305\" style=\"text-align: initial;font-size: 1em\" src=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/wp-content\/uploads\/sites\/2\/2020\/03\/39885-BigV.jpg\" alt=\"\" width=\"521\" height=\"372\" \/><\/a> Figure 4. Woodcut initial capital letters (Heller 2018)[\/caption]\r\n\r\n[caption id=\"attachment_306\" align=\"aligncenter\" width=\"800\"]<a href=\"https:\/\/designobserver.com\/feature\/initial-caps-the-birth-of-illustrated-typography\/39885\"><img class=\"wp-image-306 size-full\" src=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/wp-content\/uploads\/sites\/2\/2020\/03\/39885-Piggy2.jpg\" alt=\"\" width=\"800\" height=\"444\" \/><\/a> Figure 5. Woodcut Capital \"C\" (Heller 2018)[\/caption]\r\n<ul>\r\n \t<li>N: It might be surprising that the &lt;N&gt; is capital, and not lower case, as it is the second letter in the word.\u00a0 It seems the &lt;V&gt; wood-cut doesn\u2019t \u201ccount\u201d as the first letter, so the second letter was capitalized here as well.<\/li>\r\n \t<li>Notice the period after &lt;VNo&gt;. In fact there are lots of periods\u2014more than we might expect.\u00a0 The period seems to be separating words here.<\/li>\r\n \t<li>\u01d2: There is a caron (or hachek) over the &lt;o&gt; and you might be wondering what it means. Zapotec languages are tone languages, so we might wonder if this (and other [pb_glossary id=\"1128\"]diacritics[\/pb_glossary]) are marking [pb_glossary id=\"1129\"]tone[\/pb_glossary].\u00a0 However, our current best guess is that they are marking stress, that would mean that in this word the &lt;to&gt; syllable is the stressed one, i.e. the one that is a little louder and a little longer.<\/li>\r\n \t<li>vel: <em>Vel<\/em> is the Latin word for \u2018or\u2019.\u00a0 Note that we are only three words into this line and we already have encountered three languages: Spanish, Zapotec, and now Latin!<\/li>\r\n \t<li>\u00e4: Again, you may be wondering about the diarisis (or umlaut) over the &lt;a&gt;.\u00a0 You already know that we think the caron is likely marking stress. It turns out we think that any diacritic (caron, circumflex, diarisis, acute, or grave accent) could mark stress.\u00a0 We are not sure if they were used to mean different things, or if the choice between which mark had more to do with which happened to be available to the typesetter.<\/li>\r\n<\/ul>\r\nLet\u2019s look at the second line now\u2014which will be much easier!\r\n<div class=\"textbox shaded\">\u00b6Dos. T\u00f4pa. l. c\u01ceto. 2<\/div>\r\n<ul>\r\n \t<li style=\"font-weight: 400\">\u00b6: The pilcrow (paragraph mark) seems to be acting like a bullet point.<\/li>\r\n \t<li style=\"font-weight: 400\">\u00f4: You already know what we think this means- stress!<\/li>\r\n \t<li style=\"font-weight: 400\">l.: &lt;l.&gt; is an abbreviation for <em>vel<\/em> \u2018or\u2019.<\/li>\r\n<\/ul>\r\nWhile you might be surprised that it took nearly a page to explain two lines, look at how much easier this is to read now that you know a few simple things.\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Exercise 2.2<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">Look at lines three and four on your own now.\u00a0 Are there any printing conventions that remain unclear?<\/div>\r\n<\/div>\r\nNow that we\u2019ve looked at the form, let\u2019s turn to the content! Notice that there are two Zapotec words listed for each number. In fact, for the numbers one, two, three, and four only there are two sets of words, referred to here as Set A and Set B. Set A is the main set. Set B is an alternate set, used only when counting flat things, like tortillas.\r\n<p style=\"padding-left: 40px\"><strong>\u00a0 Set A\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Set B<\/strong><\/p>\r\n\r\n<ol>\r\n \t<li style=\"list-style-type: none\">\r\n<ol>\r\n \t<li>tobi\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 chaga<\/li>\r\n \t<li>topa\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0cato<\/li>\r\n \t<li>chona\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 cayo<\/li>\r\n \t<li>tapa\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0taa<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n<h1>3. Putting together higher numbers<\/h1>\r\nLet\u2019s jump ahead now to some bigger numbers. Just like in languages that you already know, most higher numbers in Zapotec are composed of building blocks based on the lower numbers. Think about the English number <em>fifteen<\/em> which has two parts: the <em>fif<\/em> part which is related to \u2018five\u2019 and the <em>teen<\/em> part that is related to \u2018ten\u2019. In Zapotec, most higher numbers are also built from pieces related to words for small numbers, but maybe not in the same way that you\u2019re used to! Let\u2019s look now at Figure 6, a close up for the words for 11-15.\r\n\r\n&nbsp;\r\n\r\n[caption id=\"attachment_126\" align=\"aligncenter\" width=\"471\"]<a href=\"https:\/\/ticha.haverford.edu\/en\/texts\/cordova-arte\/208\/original\/\" target=\"_blank\" rel=\"noopener noreferrer\"><img class=\"wp-image-126 size-full\" src=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/wp-content\/uploads\/sites\/2\/2020\/03\/Screen-Shot-2020-06-25-at-2.18.35-PM.png\" alt=\"\" width=\"471\" height=\"148\" \/><\/a> Figure 6.\u00a0 Colonial Valley Zapotec numbers 11 through 15 (Cordova 1578: 102r; John Carter Brown Library, via <a href=\"https:\/\/archive.org\/details\/arteenlenguazapo00juan\/page\/n213\/mode\/2up\">archive.org<\/a>; see also <a href=\"https:\/\/ticha.haverford.edu\/en\/texts\/cordova-arte\/208\/original\/\">Ticha<\/a>)[\/caption]\r\n\r\nI\u2019ve pulled out the Zapotec words and transcribed them below leaving out any accent marks for now. You may recognize <em>tobi<\/em> at the end of\u00a0<em>chijbitobi<\/em> \u201811\u2019 from above\u2014it is the word for \u20181\u2019.\u00a0 <em>Chij<\/em> is the word for \u201810\u2019 and <em>bi<\/em> is a piece that can be used in bigger numbers to mean \u2018and\u2019 or \u2018plus\u2019, though it isn\u2019t the regular word for \u2018and\u2019 in other contexts\u2014it\u2019s a special \u2018and\u2019 for numbers only.\u00a0 So \u201811\u2019 in Zapotec is 'ten and one', which makes sense, of course!\u00a0 \u201812\u2019 is 'ten and two' as shown below, though there are two different ways to say it\u2014one uses the set A number for \u20182\u2019 and one uses the set B number for \u20182\u2019.\u00a0 We don\u2019t have many examples, but we would expect that <em>chijcato<\/em> \u201812\u2019 would be used to count flat things, since it has the B-set form for \u20182\u2019 in it.\r\n<div class=\"textbox shaded\">\r\n<p style=\"padding-left: 40px\"><strong>11. chij-bi-tobi<\/strong><\/p>\r\n<p style=\"padding-left: 40px\"><em>\u00a0 \u00a0 \u00a010-and-1\u00a0 \u00a0 \u00a0 \u00a0 [=11]<\/em><\/p>\r\n<p style=\"padding-left: 40px\"><strong>12. chij-bi-topa<\/strong><\/p>\r\n<p style=\"padding-left: 40px\"><em>\u00a0 \u00a0 \u00a0 10-and-2\u00a0 \u00a0 \u00a0 [=12]<\/em><\/p>\r\n<em>or<\/em>\r\n<p style=\"padding-left: 40px\"><strong>12. chij-cato<\/strong><\/p>\r\n<p style=\"padding-left: 40px\"><em>\u00a0 \u00a0 \u00a010-2(B)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [=12]<\/em><\/p>\r\n\r\n<\/div>\r\nLet\u2019s skip now to \u201815\u2019. The first form for \u201815\u2019 is <em>chino<\/em>. While this might look like it could start with the word for \u201810\u2019, it doesn\u2019t have anything that looks like \u20185\u2019 in it.\u00a0 So we\u2019ll say that this word on its own means \u201815\u2019. There is another, longer way, to say \u201815\u2019 as well, which seems to mean \u2018another 5 will walk to 20\u2019.\u00a0 What could that mean? In this case, it looks like 15 is being calculated based on its relationship to 20\u2014that you\u2019re 5 away from 20 and that if you go another 5 you\u2019ll arrive at 20.\u00a0 That makes sense, too!\r\n<div class=\"textbox shaded\">\r\n<p style=\"padding-left: 40px\"><strong>15. chino\u00a0 <\/strong>[=15]<\/p>\r\n<em>or<\/em>\r\n<p style=\"padding-left: 40px\"><strong>15. cecaayo quizaha calle<\/strong><\/p>\r\n<p style=\"padding-left: 40px\"><em>\u00a0 \u00a0 \u00a0 ce-caayo\u00a0 \u00a0 \u00a0qui-zaha\u00a0 \u00a0calle<\/em><\/p>\r\n<p style=\"padding-left: 40px\"><em>\u00a0 \u00a0 \u00a0 another-5\u00a0 \u00a0IRR-walk\u00a0 \u00a020\u00a0 \u00a0 \u00a0 \u00a0 \u00a0[=15]<\/em><\/p>\r\n<p style=\"padding-left: 40px\"><em>\u00a0 \u00a0 \u00a0 \u2018another 5 will walk to (arrive at) 20\u2019<\/em><\/p>\r\n\r\n<\/div>\r\n(You might notice that we've added a dash in the middle of <em>ce-caayo<\/em> to indicate that <em>ce-<\/em> means 'another' while <em>caayo<\/em> means 'five'. You can learn more about this type of translation in the module <a href=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/chapter\/reading-an-interlinear-analysis\/\">Reading an Interlinear Analysis<\/a>.)\r\n<h1>4. Building blocks for numbers<\/h1>\r\nYou know almost everything you need to know to start doing some Zapotec math on your own! Here we listed all the parts you\u2019ll find in the numbers 1-24,000, including the [pb_glossary id=\"1131\"]prefixes[\/pb_glossary] \u2018and\u2019 and \u2018another\u2019 in (a)\u2013(b); the verb \u2018will walk to\u2019 that we just saw (c); and number roots 1\u201316,000.\u00a0 Use these as your reference to figure out the higher numbers in Exercise 4.1.\r\n<p style=\"padding-left: 40px\">a)<strong> bi-<\/strong>[number] \u2018and [number] more, plus [number]\u2019 (like in 11)<\/p>\r\n<p style=\"padding-left: 40px\">b) <strong>ce-<\/strong>[number] \u2018another [number] until\u2019 (like in 15)<\/p>\r\n<p style=\"padding-left: 40px\">c) <strong>quizaha<\/strong> \u2018will walk to\u2019 (like in 15)<\/p>\r\n\r\n<table style=\"font-size: 1em;height: 345px;margin-left: 40px\" border=\"0\">\r\n<tbody style=\"padding-left: 40px\">\r\n<tr style=\"height: 15px;padding-left: 40px\">\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;text-align: right;height: 15px;width: 87.8472px\"><\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\"><strong>Set A<\/strong><\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><strong>Set B<\/strong><\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px;padding-left: 40px\">\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">1<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">tobi<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\">chaga<\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px;padding-left: 40px\">\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">2<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">topa<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\">cato<\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px;padding-left: 40px\">\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">3<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">chona<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\">cayo<\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px;padding-left: 40px\">\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">4<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">tapa<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\">taa<\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px;padding-left: 40px\">\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">5<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">cayo<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px;padding-left: 40px\">\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">6<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">xopa<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px;padding-left: 40px\">\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">7<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">cache<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px;padding-left: 40px\">\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">8<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">xono<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px;padding-left: 40px\">\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">9<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">caa<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px;padding-left: 40px\">\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">10<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">chij<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px;padding-left: 40px\">\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">13<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">chij\u00f1o<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px;padding-left: 40px\">\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">15<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">chino<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px;padding-left: 40px\">\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">20<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">calle, lalle<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px;padding-left: 40px\">\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">40<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">toua<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px;padding-left: 40px\">\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">60<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">cayona, quiyona<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px;padding-left: 40px\">\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">80<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">taa<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px;padding-left: 40px\">\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">100<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">cayoa, quioa<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px;padding-left: 40px\">\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">200<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">chija<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px;padding-left: 40px\">\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">300<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">chinoa<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px;padding-left: 40px\">\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">400<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">ela<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px;padding-left: 40px\">\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">8,000<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">\u00e7oti<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px;padding-left: 40px\">\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">16,000<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">topa<\/td>\r\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div>While this list stops at 16,000, the Zapotec number system could be used to count higher, of course! In fact, it can be used to count infinitely high.<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Exercise 4.1<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nYour turn!\u00a0 Each of the following numbers is already split into parts for you. Figure out the composition of each number, then explain how they mean what they mean.\r\n<p style=\"padding-left: 40px\">16. chino-bi-tobi<\/p>\r\n<p style=\"padding-left: 40px\">17. chino-bi-topa\r\n<em>or<\/em> chino-bi-cato\r\n<em>or<\/em> ce-chona qui-zaha calle<\/p>\r\n<p style=\"padding-left: 40px\">18. chino-bi-chona\r\n<em>or<\/em> ce-topa calle\r\n<em>or<\/em> ce-topa qui-zaha calle<\/p>\r\n<p style=\"padding-left: 40px\">19. chino-bi-tapa\r\n<em>or<\/em> ce-tobi calle\r\n<em>or<\/em> ce-tobi qui-zaha calle<\/p>\r\n<p style=\"padding-left: 40px\">20. calle<\/p>\r\n<p style=\"padding-left: 40px\">21. calle-bi-tobi<\/p>\r\n<p style=\"padding-left: 40px\">22. calle-bi-topa\r\n<em>or<\/em> calle-bi-cato<\/p>\r\n<p style=\"padding-left: 40px\">23. calle-bi-chona\r\n<em>or<\/em> calle-bi-cayo<\/p>\r\n<p style=\"padding-left: 40px\">24. calle-bi-tapa<\/p>\r\n<p style=\"padding-left: 40px\">25. calle-bi-cayo<\/p>\r\n<p style=\"padding-left: 40px\">26. calle-bi-xopa<\/p>\r\n<p style=\"padding-left: 40px\">27. calle-bi-cache<\/p>\r\n<p style=\"padding-left: 40px\">28. calle-bi-xono<\/p>\r\n<p style=\"padding-left: 40px\">29. calle-bi-ga<\/p>\r\n<p style=\"padding-left: 40px\">30. calle-bi-chij<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Exercise 4.2<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">What do you notice about the way that these numbers are built up?\u00a0 In what ways is it similar to English and other languages you know?\u00a0 In what ways is it different?<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Exercise 4.3<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nReady for a challenge?\u00a0 In the numbers below you\u2019ll notice that there are no hyphens that divide the words into their meaningful parts.\u00a0 This time, figure out what the parts are and analyze them as you did in Exercise 4.1. (While we stop here at 24,000, the Zapotec number system could be used to count higher, of course! There is no reason it couldn\u2019t continue to count infinitely high.)\r\n<p style=\"padding-left: 40px\">31. callebichijbitobi<\/p>\r\n<p style=\"padding-left: 40px\">32. callebichijbitopa<\/p>\r\n<p style=\"padding-left: 40px\">33. callebichijbichona<\/p>\r\n<p style=\"padding-left: 40px\">34. callebichijbitapa<\/p>\r\n<p style=\"padding-left: 40px\">35. callebichino<\/p>\r\n<p style=\"padding-left: 40px\">40. toua<\/p>\r\n<p style=\"padding-left: 40px\">41. touabitobi<\/p>\r\n<p style=\"padding-left: 40px\">50. touabichij<\/p>\r\n<p style=\"padding-left: 40px\">51. touabichijbitobi<\/p>\r\n<p style=\"padding-left: 40px\">60. cayona<\/p>\r\n<p style=\"padding-left: 40px\">100. Cayoa<\/p>\r\n<p style=\"padding-left: 40px\">120. Xopalalle<\/p>\r\n<p style=\"padding-left: 40px\">130. Xopalallebichij<\/p>\r\n<p style=\"padding-left: 40px\">140. Cachelalle<\/p>\r\n<p style=\"padding-left: 40px\">200. Chija<\/p>\r\n<p style=\"padding-left: 40px\">400. Tobiela<\/p>\r\n<p style=\"padding-left: 40px\">500. Tobiela cayoa<\/p>\r\n<p style=\"padding-left: 40px\">600. Tobiela chija<\/p>\r\n<p style=\"padding-left: 40px\">800. Topaela<\/p>\r\n<p style=\"padding-left: 40px\">1,000. Catoela chija<\/p>\r\n<p style=\"padding-left: 40px\">1,600. Tapaela<\/p>\r\n<p style=\"padding-left: 40px\">2,000. Cayoela<\/p>\r\n<p style=\"padding-left: 40px\">4,000. Chijela<\/p>\r\n<p style=\"padding-left: 40px\">8,000. Chaga\u00e7oti\r\n<em>or<\/em> tobi\u00e7oti<\/p>\r\n<p style=\"padding-left: 40px\">24,000. Chona\u00e7oti<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Exercise 4.4<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nExplain how the phrase <em>tapa ella chela cayona bixopa<\/em> means '1666'. Some words may be spelled slightly differently than you saw above!\r\n\r\n(This number appears in the first couple lines of a bill of sale written in San Miguel Etla in 1666. You can see the images here: <a href=\"https:\/\/ticha.haverford.edu\/en\/texts\/SME666\/\">https:\/\/ticha.haverford.edu\/en\/texts\/SME666\/<\/a>.)\r\n\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Exercise 4.5<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nReady for a challenge?\u00a0 Based on the pattern you figured out in Exercises 4.1, 4.3, and 4.4, how do you think you would say the following numbers in Colonial Valley Zapotec?\r\n\r\n74\r\n\r\n86\r\n\r\n97\r\n\r\n124\r\n\r\n136\r\n\r\n402\r\n\r\n<\/div>\r\n<\/div>\r\n<h1>5. Number systems and bases<\/h1>\r\nNumber systems in the world\u2019s languages can use different bases. English uses a base-10, as numbers over 10 are built on 10 and powers of 10 are specially named: e.g. <em>ten<\/em>, <em>hundred<\/em>, <em>thousand<\/em>.\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Exercise 5.1<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">Can you figure out the bases used to count in Zapotec? Hint: there are three bases! One used for 10-14, another for 15-19, and another for 20 and above!<\/div>\r\n<\/div>\r\nZapotec has a long history of writing and shares a system for representing numbers with other languages in the [pb_glossary id=\"1135\"]Mesoamerican[\/pb_glossary] cultural area.\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Exercise 5.2<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">Do some research on the Mesoamerican representation of numbers using bars and dots. Does this system reflect the structure of the number system and the bases as you analyzed in Exercise 5.1?\u00a0 If so, how?<\/div>\r\n<\/div>\r\n<h1>6. Zapotec numbers today<\/h1>\r\nListen to the numbers in Zapotec as spoken today in San Jer\u00f3nimo Tlacochahuaya, the same town where the grammar of Colonial Valley Zapotec (see Figure 1) was written nearly 500 years ago.\u00a0 Maestro Mois\u00e9s Garc\u00eda Guzm\u00e1n has a <a href=\"https:\/\/www.youtube.com\/watch?v=aajhujTUL20&amp;list=PLh7FCBo-wt5uJWS89HvgSv5DP-UTgJrsr\">playlist<\/a> of the numbers 1-100 on his YouTube channel.\r\n\r\n(For more on the differences between counting in Colonial Valley Zapotec and Modern Valley Zapotec, see the chapter on <a href=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/chapter\/language-shift\/\">Language Shift<\/a>.)\r\n\r\n&nbsp;\r\n\r\n[embed]https:\/\/www.youtube.com\/watch?reload=9&amp;v=aajhujTUL20&amp;list=PLh7FCBo-wt5uJWS89HvgSv5DP-UTgJrsr[\/embed]\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Exercise 6.1<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">What similarities and differences do you notice between numbers written in the colonial period and how they sound today?<\/div>\r\n<\/div>\r\n<div>\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Exercise 6.2 How does it work in your language?<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nWhat are the numbers like in your language? What similarities and differences do you notice between the numbers in your language and the numbers in Colonial Valley Zapotec?\r\n\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Exercise 6.3<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">Search the internet for more examples of Zapotec counting. Compare them to the numbers in Tlacochahuaya Zapotec.<\/div>\r\n<\/div>\r\n<h1>References<\/h1>\r\nBlokland, Frank E. 2012. On the origin of Patterning in Movable Latin Type. <a href=\"https:\/\/www.lettermodel.org\/\">https:\/\/www.lettermodel.org\/<\/a>\r\n\r\nCordova, Fray Juan de. 1578. <em>Arte en lengua zapoteca<\/em>. Mexico: En casa de Pedro Balli. Facsimile on <a href=\"https:\/\/archive.org\/\">archive.org<\/a>, courtesy of the John Carter Brown Library. <a href=\"https:\/\/archive.org\/details\/arteenlenguazapo00juan\">https:\/\/archive.org\/details\/arteenlenguazapo00juan<\/a>\r\n\r\nHeller, Steven. 2018. Initial Caps: The Birth of Illustrated Typography. <em>Design Observer<\/em>. <a href=\"https:\/\/designobserver.com\/feature\/initial-caps-the-birth-of-illustrated-typography\/39885\">https:\/\/designobserver.com\/feature\/initial-caps-the-birth-of-illustrated-typography\/39885<\/a>","rendered":"<div class=\"textbox shaded\">\n<p>This module is an introduction to the number system in Colonial Valley Zapotec, a form of Valley Zapotec attested in writing during the <a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_30_1136\">Mexican Colonial Period<\/a>. This chapter could be a good place to start your study, though it might be helpful to complete <a href=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/chapter\/ticha-pedagogical-unit-1-introduction-to-the-ticha-project\/\" target=\"_blank\" rel=\"noopener\">Ticha<\/a> or <a href=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/chapter\/colonial-documents-and-archives\/\" target=\"_blank\" rel=\"noopener\">Colonial Documents and Archives<\/a> first. After reading Numbers, you may find it useful to continue with <a href=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/chapter\/language-shift\/\" target=\"_blank\" rel=\"noopener\">Language Shift<\/a> or <a href=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/chapter\/reclaiming-our-languages\/\" target=\"_blank\" rel=\"noopener\">Reclaiming our Languages<\/a>.<\/p>\n<p>Resources in this module: <a href=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/chapter\/teaching-summary-numbers\/\">Teaching Summary<\/a> \u00b7 <a href=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/chapter\/numbers-answer-key\/\" target=\"_blank\" rel=\"noopener\">Answer Key<\/a> \u00b7 <a href=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/recursos-de-ticha\/chapter\/numeros\/\">Spanish Version<\/a><\/p>\n<\/div>\n<h1><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-221 aligncenter\" src=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/wp-content\/uploads\/sites\/2\/2020\/03\/Screenshot-2020-07-07-16.30.07.png\" alt=\"\" width=\"2128\" height=\"34\" \/><\/h1>\n<h1>1. Introduction<\/h1>\n<p>The text in the image below is from a grammar about Valley Zapotec which was published in 1578. The grammar is credited to a Spanish friar Juan de Cordova, though many unnamed Zapotec people contributed as well. The page in Figure 1 shows the Colonial Valley Zapotec words for the numbers 1-19.<\/p>\n<p>&nbsp;<\/p>\n<figure id=\"attachment_124\" aria-describedby=\"caption-attachment-124\" style=\"width: 369px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/ticha.haverford.edu\/en\/texts\/cordova-arte\/208\/original\/\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-124 size-full\" src=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/wp-content\/uploads\/sites\/2\/2020\/03\/Screen-Shot-2020-06-25-at-2.03.49-PM.png\" alt=\"\" width=\"369\" height=\"541\" \/><\/a><figcaption id=\"caption-attachment-124\" class=\"wp-caption-text\">Figure 1.\u00a0 Colonial Valley Zapotec numbers 1 through 19 (Cordova 1578: 102r; John Carter Brown Library, via <a href=\"https:\/\/archive.org\/details\/arteenlenguazapo00juan\/page\/n213\/mode\/2up\">archive.org<\/a>; see also <a href=\"https:\/\/ticha.haverford.edu\/en\/texts\/cordova-arte\/208\/original\/\">Ticha<\/a>)<\/figcaption><\/figure>\n<p>Zapotec languages (there are many!) belong to the Otomanguean stock and are indigenous to what is now Oaxaca, Mexico. There are probably over 400,000 speakers of Zapotec languages today, and many Zapotec speakers are actively resisting linguistic and cultural threats from deeply embedded discriminatory beliefs and behaviors that deny and devalorize the Zapotec language, people, and knowledge.<\/p>\n<h1>2. Learning to read Cordova: Numbers 1-4<\/h1>\n<p>Even though this book is printed, you might find it more challenging to read than modern printed books. Learning to read older printed books is a skill you can practice! Let\u2019s take a look at Figure 2, which is a close up of the numbers 1-4.<\/p>\n<p>&nbsp;<\/p>\n<figure id=\"attachment_125\" aria-describedby=\"caption-attachment-125\" style=\"width: 582px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/ticha.haverford.edu\/en\/texts\/cordova-arte\/208\/original\/\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-125 size-full\" src=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/wp-content\/uploads\/sites\/2\/2020\/03\/Screen-Shot-2020-06-25-at-2.09.27-PM.png\" alt=\"\" width=\"582\" height=\"153\" \/><\/a><figcaption id=\"caption-attachment-125\" class=\"wp-caption-text\">Figure 2.\u00a0 Colonial Valley Zapotec numbers 1 through 4 (Cordova 1578: 102r; John Carter Brown Library, via <a href=\"https:\/\/archive.org\/details\/arteenlenguazapo00juan\/page\/n213\/mode\/2up\">archive.org<\/a>; see also <a href=\"https:\/\/ticha.haverford.edu\/en\/texts\/cordova-arte\/208\/original\/\">Ticha<\/a>)<\/figcaption><\/figure>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise 2.1<\/p>\n<\/header>\n<div class=\"textbox__content\">(a) Transcribe (i.e. write out) what you see in Figure 2.<br \/>\n(b) Compare your transcription with a classmate\u2019s.<\/div>\n<\/div>\n<p>Here\u2019s my transcription:<\/p>\n<div class=\"textbox shaded\">\n<p style=\"padding-left: 40px\">VNo. T\u01d2bi. vel. ch\u00e4ga. 1<\/p>\n<p style=\"padding-left: 40px\">\u00b6Dos. T\u00f4pa. l. c\u01ceto. 2<\/p>\n<p style=\"padding-left: 40px\">\u00b6Tres. Ch\u01d2na. l. c\u00e4yo. 3<\/p>\n<p style=\"padding-left: 40px\">\u00b6Quatro. T\u00e4pa. l. t\u01cea. 4<\/p>\n<\/div>\n<p>There\u2019s lots of things to talk about even in these four lines! Let\u2019s go back to just the first line:<\/p>\n<div class=\"textbox shaded\">VNo. T\u01d2bi. vel. ch\u00e4ga. 1<\/div>\n<ul>\n<li>The book was not printed digitally like today, but with metal casts of individual letters that could be arranged in lines to make a page. This technique is known as <a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_30_320\">movable-type printing<\/a>. An image of movable type can be found in Figure 3. (You may sometimes find a letter was placed upside down or a similarly shaped letter was substituted for an expected letter\u2014it&#8217;s easy to imagine how this could happen!)<\/li>\n<\/ul>\n<figure id=\"attachment_304\" aria-describedby=\"caption-attachment-304\" style=\"width: 450px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.lettermodel.org\/wordpress\/?attachment_id=1377\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-304 size-full\" src=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/wp-content\/uploads\/sites\/2\/2020\/03\/Moyen_Canon_type.jpg\" alt=\"\" width=\"450\" height=\"525\" \/><\/a><figcaption id=\"caption-attachment-304\" class=\"wp-caption-text\">Figure 3. Example of moveable type (Blokland 2012)<\/figcaption><\/figure>\n<ul>\n<li>V: The V is in the form of an ornate woodcut.\u00a0 Sometimes these can be quite elaborate and examples of other woodcuts can be seen in Figure 4. Figure 5 shows how these woodcuts would work\u2014much like the moveable type! (The use of a &lt;v&gt; where we might expect a &lt;u&gt; nowadays is typical.)<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<figure id=\"attachment_305\" aria-describedby=\"caption-attachment-305\" style=\"width: 521px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/designobserver.com\/feature\/initial-caps-the-birth-of-illustrated-typography\/39885\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-305\" style=\"text-align: initial;font-size: 1em\" src=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/wp-content\/uploads\/sites\/2\/2020\/03\/39885-BigV.jpg\" alt=\"\" width=\"521\" height=\"372\" \/><\/a><figcaption id=\"caption-attachment-305\" class=\"wp-caption-text\">Figure 4. Woodcut initial capital letters (Heller 2018)<\/figcaption><\/figure>\n<figure id=\"attachment_306\" aria-describedby=\"caption-attachment-306\" style=\"width: 800px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/designobserver.com\/feature\/initial-caps-the-birth-of-illustrated-typography\/39885\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-306 size-full\" src=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/wp-content\/uploads\/sites\/2\/2020\/03\/39885-Piggy2.jpg\" alt=\"\" width=\"800\" height=\"444\" \/><\/a><figcaption id=\"caption-attachment-306\" class=\"wp-caption-text\">Figure 5. Woodcut Capital &#8220;C&#8221; (Heller 2018)<\/figcaption><\/figure>\n<ul>\n<li>N: It might be surprising that the &lt;N&gt; is capital, and not lower case, as it is the second letter in the word.\u00a0 It seems the &lt;V&gt; wood-cut doesn\u2019t \u201ccount\u201d as the first letter, so the second letter was capitalized here as well.<\/li>\n<li>Notice the period after &lt;VNo&gt;. In fact there are lots of periods\u2014more than we might expect.\u00a0 The period seems to be separating words here.<\/li>\n<li>\u01d2: There is a caron (or hachek) over the &lt;o&gt; and you might be wondering what it means. Zapotec languages are tone languages, so we might wonder if this (and other <a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_30_1128\">diacritics<\/a>) are marking <a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_30_1129\">tone<\/a>.\u00a0 However, our current best guess is that they are marking stress, that would mean that in this word the &lt;to&gt; syllable is the stressed one, i.e. the one that is a little louder and a little longer.<\/li>\n<li>vel: <em>Vel<\/em> is the Latin word for \u2018or\u2019.\u00a0 Note that we are only three words into this line and we already have encountered three languages: Spanish, Zapotec, and now Latin!<\/li>\n<li>\u00e4: Again, you may be wondering about the diarisis (or umlaut) over the &lt;a&gt;.\u00a0 You already know that we think the caron is likely marking stress. It turns out we think that any diacritic (caron, circumflex, diarisis, acute, or grave accent) could mark stress.\u00a0 We are not sure if they were used to mean different things, or if the choice between which mark had more to do with which happened to be available to the typesetter.<\/li>\n<\/ul>\n<p>Let\u2019s look at the second line now\u2014which will be much easier!<\/p>\n<div class=\"textbox shaded\">\u00b6Dos. T\u00f4pa. l. c\u01ceto. 2<\/div>\n<ul>\n<li style=\"font-weight: 400\">\u00b6: The pilcrow (paragraph mark) seems to be acting like a bullet point.<\/li>\n<li style=\"font-weight: 400\">\u00f4: You already know what we think this means- stress!<\/li>\n<li style=\"font-weight: 400\">l.: &lt;l.&gt; is an abbreviation for <em>vel<\/em> \u2018or\u2019.<\/li>\n<\/ul>\n<p>While you might be surprised that it took nearly a page to explain two lines, look at how much easier this is to read now that you know a few simple things.<\/p>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise 2.2<\/p>\n<\/header>\n<div class=\"textbox__content\">Look at lines three and four on your own now.\u00a0 Are there any printing conventions that remain unclear?<\/div>\n<\/div>\n<p>Now that we\u2019ve looked at the form, let\u2019s turn to the content! Notice that there are two Zapotec words listed for each number. In fact, for the numbers one, two, three, and four only there are two sets of words, referred to here as Set A and Set B. Set A is the main set. Set B is an alternate set, used only when counting flat things, like tortillas.<\/p>\n<p style=\"padding-left: 40px\"><strong>\u00a0 Set A\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Set B<\/strong><\/p>\n<ol>\n<li style=\"list-style-type: none\">\n<ol>\n<li>tobi\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 chaga<\/li>\n<li>topa\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0cato<\/li>\n<li>chona\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 cayo<\/li>\n<li>tapa\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0taa<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<h1>3. Putting together higher numbers<\/h1>\n<p>Let\u2019s jump ahead now to some bigger numbers. Just like in languages that you already know, most higher numbers in Zapotec are composed of building blocks based on the lower numbers. Think about the English number <em>fifteen<\/em> which has two parts: the <em>fif<\/em> part which is related to \u2018five\u2019 and the <em>teen<\/em> part that is related to \u2018ten\u2019. In Zapotec, most higher numbers are also built from pieces related to words for small numbers, but maybe not in the same way that you\u2019re used to! Let\u2019s look now at Figure 6, a close up for the words for 11-15.<\/p>\n<p>&nbsp;<\/p>\n<figure id=\"attachment_126\" aria-describedby=\"caption-attachment-126\" style=\"width: 471px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/ticha.haverford.edu\/en\/texts\/cordova-arte\/208\/original\/\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-126 size-full\" src=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/wp-content\/uploads\/sites\/2\/2020\/03\/Screen-Shot-2020-06-25-at-2.18.35-PM.png\" alt=\"\" width=\"471\" height=\"148\" \/><\/a><figcaption id=\"caption-attachment-126\" class=\"wp-caption-text\">Figure 6.\u00a0 Colonial Valley Zapotec numbers 11 through 15 (Cordova 1578: 102r; John Carter Brown Library, via <a href=\"https:\/\/archive.org\/details\/arteenlenguazapo00juan\/page\/n213\/mode\/2up\">archive.org<\/a>; see also <a href=\"https:\/\/ticha.haverford.edu\/en\/texts\/cordova-arte\/208\/original\/\">Ticha<\/a>)<\/figcaption><\/figure>\n<p>I\u2019ve pulled out the Zapotec words and transcribed them below leaving out any accent marks for now. You may recognize <em>tobi<\/em> at the end of\u00a0<em>chijbitobi<\/em> \u201811\u2019 from above\u2014it is the word for \u20181\u2019.\u00a0 <em>Chij<\/em> is the word for \u201810\u2019 and <em>bi<\/em> is a piece that can be used in bigger numbers to mean \u2018and\u2019 or \u2018plus\u2019, though it isn\u2019t the regular word for \u2018and\u2019 in other contexts\u2014it\u2019s a special \u2018and\u2019 for numbers only.\u00a0 So \u201811\u2019 in Zapotec is &#8216;ten and one&#8217;, which makes sense, of course!\u00a0 \u201812\u2019 is &#8216;ten and two&#8217; as shown below, though there are two different ways to say it\u2014one uses the set A number for \u20182\u2019 and one uses the set B number for \u20182\u2019.\u00a0 We don\u2019t have many examples, but we would expect that <em>chijcato<\/em> \u201812\u2019 would be used to count flat things, since it has the B-set form for \u20182\u2019 in it.<\/p>\n<div class=\"textbox shaded\">\n<p style=\"padding-left: 40px\"><strong>11. chij-bi-tobi<\/strong><\/p>\n<p style=\"padding-left: 40px\"><em>\u00a0 \u00a0 \u00a010-and-1\u00a0 \u00a0 \u00a0 \u00a0 [=11]<\/em><\/p>\n<p style=\"padding-left: 40px\"><strong>12. chij-bi-topa<\/strong><\/p>\n<p style=\"padding-left: 40px\"><em>\u00a0 \u00a0 \u00a0 10-and-2\u00a0 \u00a0 \u00a0 [=12]<\/em><\/p>\n<p><em>or<\/em><\/p>\n<p style=\"padding-left: 40px\"><strong>12. chij-cato<\/strong><\/p>\n<p style=\"padding-left: 40px\"><em>\u00a0 \u00a0 \u00a010-2(B)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [=12]<\/em><\/p>\n<\/div>\n<p>Let\u2019s skip now to \u201815\u2019. The first form for \u201815\u2019 is <em>chino<\/em>. While this might look like it could start with the word for \u201810\u2019, it doesn\u2019t have anything that looks like \u20185\u2019 in it.\u00a0 So we\u2019ll say that this word on its own means \u201815\u2019. There is another, longer way, to say \u201815\u2019 as well, which seems to mean \u2018another 5 will walk to 20\u2019.\u00a0 What could that mean? In this case, it looks like 15 is being calculated based on its relationship to 20\u2014that you\u2019re 5 away from 20 and that if you go another 5 you\u2019ll arrive at 20.\u00a0 That makes sense, too!<\/p>\n<div class=\"textbox shaded\">\n<p style=\"padding-left: 40px\"><strong>15. chino\u00a0 <\/strong>[=15]<\/p>\n<p><em>or<\/em><\/p>\n<p style=\"padding-left: 40px\"><strong>15. cecaayo quizaha calle<\/strong><\/p>\n<p style=\"padding-left: 40px\"><em>\u00a0 \u00a0 \u00a0 ce-caayo\u00a0 \u00a0 \u00a0qui-zaha\u00a0 \u00a0calle<\/em><\/p>\n<p style=\"padding-left: 40px\"><em>\u00a0 \u00a0 \u00a0 another-5\u00a0 \u00a0IRR-walk\u00a0 \u00a020\u00a0 \u00a0 \u00a0 \u00a0 \u00a0[=15]<\/em><\/p>\n<p style=\"padding-left: 40px\"><em>\u00a0 \u00a0 \u00a0 \u2018another 5 will walk to (arrive at) 20\u2019<\/em><\/p>\n<\/div>\n<p>(You might notice that we&#8217;ve added a dash in the middle of <em>ce-caayo<\/em> to indicate that <em>ce-<\/em> means &#8216;another&#8217; while <em>caayo<\/em> means &#8216;five&#8217;. You can learn more about this type of translation in the module <a href=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/chapter\/reading-an-interlinear-analysis\/\">Reading an Interlinear Analysis<\/a>.)<\/p>\n<h1>4. Building blocks for numbers<\/h1>\n<p>You know almost everything you need to know to start doing some Zapotec math on your own! Here we listed all the parts you\u2019ll find in the numbers 1-24,000, including the <a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_30_1131\">prefixes<\/a> \u2018and\u2019 and \u2018another\u2019 in (a)\u2013(b); the verb \u2018will walk to\u2019 that we just saw (c); and number roots 1\u201316,000.\u00a0 Use these as your reference to figure out the higher numbers in Exercise 4.1.<\/p>\n<p style=\"padding-left: 40px\">a)<strong> bi-<\/strong>[number] \u2018and [number] more, plus [number]\u2019 (like in 11)<\/p>\n<p style=\"padding-left: 40px\">b) <strong>ce-<\/strong>[number] \u2018another [number] until\u2019 (like in 15)<\/p>\n<p style=\"padding-left: 40px\">c) <strong>quizaha<\/strong> \u2018will walk to\u2019 (like in 15)<\/p>\n<table style=\"font-size: 1em;height: 345px;margin-left: 40px\">\n<tbody style=\"padding-left: 40px\">\n<tr style=\"height: 15px;padding-left: 40px\">\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;text-align: right;height: 15px;width: 87.8472px\"><\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\"><strong>Set A<\/strong><\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><strong>Set B<\/strong><\/td>\n<\/tr>\n<tr style=\"height: 15px;padding-left: 40px\">\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">1<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">tobi<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\">chaga<\/td>\n<\/tr>\n<tr style=\"height: 15px;padding-left: 40px\">\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">2<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">topa<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\">cato<\/td>\n<\/tr>\n<tr style=\"height: 15px;padding-left: 40px\">\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">3<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">chona<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\">cayo<\/td>\n<\/tr>\n<tr style=\"height: 15px;padding-left: 40px\">\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">4<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">tapa<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\">taa<\/td>\n<\/tr>\n<tr style=\"height: 15px;padding-left: 40px\">\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">5<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">cayo<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\n<\/tr>\n<tr style=\"height: 15px;padding-left: 40px\">\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">6<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">xopa<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\n<\/tr>\n<tr style=\"height: 15px;padding-left: 40px\">\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">7<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">cache<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\n<\/tr>\n<tr style=\"height: 15px;padding-left: 40px\">\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">8<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">xono<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\n<\/tr>\n<tr style=\"height: 15px;padding-left: 40px\">\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">9<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">caa<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\n<\/tr>\n<tr style=\"height: 15px;padding-left: 40px\">\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">10<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">chij<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\n<\/tr>\n<tr style=\"height: 15px;padding-left: 40px\">\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">13<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">chij\u00f1o<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\n<\/tr>\n<tr style=\"height: 15px;padding-left: 40px\">\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">15<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">chino<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\n<\/tr>\n<tr style=\"height: 15px;padding-left: 40px\">\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">20<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">calle, lalle<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\n<\/tr>\n<tr style=\"height: 15px;padding-left: 40px\">\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">40<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">toua<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\n<\/tr>\n<tr style=\"height: 15px;padding-left: 40px\">\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">60<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">cayona, quiyona<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\n<\/tr>\n<tr style=\"height: 15px;padding-left: 40px\">\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">80<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">taa<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\n<\/tr>\n<tr style=\"height: 15px;padding-left: 40px\">\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">100<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">cayoa, quioa<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\n<\/tr>\n<tr style=\"height: 15px;padding-left: 40px\">\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">200<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">chija<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\n<\/tr>\n<tr style=\"height: 15px;padding-left: 40px\">\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">300<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">chinoa<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\n<\/tr>\n<tr style=\"height: 15px;padding-left: 40px\">\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">400<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">ela<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\n<\/tr>\n<tr style=\"height: 15px;padding-left: 40px\">\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">8,000<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">\u00e7oti<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\n<\/tr>\n<tr style=\"height: 15px;padding-left: 40px\">\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 87.8472px\">16,000<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 201.181px\">topa<\/td>\n<td style=\"padding: 0.25em 0.45em 0.25em 40px;height: 15px;width: 146.736px\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div>While this list stops at 16,000, the Zapotec number system could be used to count higher, of course! In fact, it can be used to count infinitely high.<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise 4.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>Your turn!\u00a0 Each of the following numbers is already split into parts for you. Figure out the composition of each number, then explain how they mean what they mean.<\/p>\n<p style=\"padding-left: 40px\">16. chino-bi-tobi<\/p>\n<p style=\"padding-left: 40px\">17. chino-bi-topa<br \/>\n<em>or<\/em> chino-bi-cato<br \/>\n<em>or<\/em> ce-chona qui-zaha calle<\/p>\n<p style=\"padding-left: 40px\">18. chino-bi-chona<br \/>\n<em>or<\/em> ce-topa calle<br \/>\n<em>or<\/em> ce-topa qui-zaha calle<\/p>\n<p style=\"padding-left: 40px\">19. chino-bi-tapa<br \/>\n<em>or<\/em> ce-tobi calle<br \/>\n<em>or<\/em> ce-tobi qui-zaha calle<\/p>\n<p style=\"padding-left: 40px\">20. calle<\/p>\n<p style=\"padding-left: 40px\">21. calle-bi-tobi<\/p>\n<p style=\"padding-left: 40px\">22. calle-bi-topa<br \/>\n<em>or<\/em> calle-bi-cato<\/p>\n<p style=\"padding-left: 40px\">23. calle-bi-chona<br \/>\n<em>or<\/em> calle-bi-cayo<\/p>\n<p style=\"padding-left: 40px\">24. calle-bi-tapa<\/p>\n<p style=\"padding-left: 40px\">25. calle-bi-cayo<\/p>\n<p style=\"padding-left: 40px\">26. calle-bi-xopa<\/p>\n<p style=\"padding-left: 40px\">27. calle-bi-cache<\/p>\n<p style=\"padding-left: 40px\">28. calle-bi-xono<\/p>\n<p style=\"padding-left: 40px\">29. calle-bi-ga<\/p>\n<p style=\"padding-left: 40px\">30. calle-bi-chij<\/p>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise 4.2<\/p>\n<\/header>\n<div class=\"textbox__content\">What do you notice about the way that these numbers are built up?\u00a0 In what ways is it similar to English and other languages you know?\u00a0 In what ways is it different?<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise 4.3<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>Ready for a challenge?\u00a0 In the numbers below you\u2019ll notice that there are no hyphens that divide the words into their meaningful parts.\u00a0 This time, figure out what the parts are and analyze them as you did in Exercise 4.1. (While we stop here at 24,000, the Zapotec number system could be used to count higher, of course! There is no reason it couldn\u2019t continue to count infinitely high.)<\/p>\n<p style=\"padding-left: 40px\">31. callebichijbitobi<\/p>\n<p style=\"padding-left: 40px\">32. callebichijbitopa<\/p>\n<p style=\"padding-left: 40px\">33. callebichijbichona<\/p>\n<p style=\"padding-left: 40px\">34. callebichijbitapa<\/p>\n<p style=\"padding-left: 40px\">35. callebichino<\/p>\n<p style=\"padding-left: 40px\">40. toua<\/p>\n<p style=\"padding-left: 40px\">41. touabitobi<\/p>\n<p style=\"padding-left: 40px\">50. touabichij<\/p>\n<p style=\"padding-left: 40px\">51. touabichijbitobi<\/p>\n<p style=\"padding-left: 40px\">60. cayona<\/p>\n<p style=\"padding-left: 40px\">100. Cayoa<\/p>\n<p style=\"padding-left: 40px\">120. Xopalalle<\/p>\n<p style=\"padding-left: 40px\">130. Xopalallebichij<\/p>\n<p style=\"padding-left: 40px\">140. Cachelalle<\/p>\n<p style=\"padding-left: 40px\">200. Chija<\/p>\n<p style=\"padding-left: 40px\">400. Tobiela<\/p>\n<p style=\"padding-left: 40px\">500. Tobiela cayoa<\/p>\n<p style=\"padding-left: 40px\">600. Tobiela chija<\/p>\n<p style=\"padding-left: 40px\">800. Topaela<\/p>\n<p style=\"padding-left: 40px\">1,000. Catoela chija<\/p>\n<p style=\"padding-left: 40px\">1,600. Tapaela<\/p>\n<p style=\"padding-left: 40px\">2,000. Cayoela<\/p>\n<p style=\"padding-left: 40px\">4,000. Chijela<\/p>\n<p style=\"padding-left: 40px\">8,000. Chaga\u00e7oti<br \/>\n<em>or<\/em> tobi\u00e7oti<\/p>\n<p style=\"padding-left: 40px\">24,000. Chona\u00e7oti<\/p>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise 4.4<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>Explain how the phrase <em>tapa ella chela cayona bixopa<\/em> means &#8216;1666&#8217;. Some words may be spelled slightly differently than you saw above!<\/p>\n<p>(This number appears in the first couple lines of a bill of sale written in San Miguel Etla in 1666. You can see the images here: <a href=\"https:\/\/ticha.haverford.edu\/en\/texts\/SME666\/\">https:\/\/ticha.haverford.edu\/en\/texts\/SME666\/<\/a>.)<\/p>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise 4.5<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>Ready for a challenge?\u00a0 Based on the pattern you figured out in Exercises 4.1, 4.3, and 4.4, how do you think you would say the following numbers in Colonial Valley Zapotec?<\/p>\n<p>74<\/p>\n<p>86<\/p>\n<p>97<\/p>\n<p>124<\/p>\n<p>136<\/p>\n<p>402<\/p>\n<\/div>\n<\/div>\n<h1>5. Number systems and bases<\/h1>\n<p>Number systems in the world\u2019s languages can use different bases. English uses a base-10, as numbers over 10 are built on 10 and powers of 10 are specially named: e.g. <em>ten<\/em>, <em>hundred<\/em>, <em>thousand<\/em>.<\/p>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise 5.1<\/p>\n<\/header>\n<div class=\"textbox__content\">Can you figure out the bases used to count in Zapotec? Hint: there are three bases! One used for 10-14, another for 15-19, and another for 20 and above!<\/div>\n<\/div>\n<p>Zapotec has a long history of writing and shares a system for representing numbers with other languages in the <a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_30_1135\">Mesoamerican<\/a> cultural area.<\/p>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise 5.2<\/p>\n<\/header>\n<div class=\"textbox__content\">Do some research on the Mesoamerican representation of numbers using bars and dots. Does this system reflect the structure of the number system and the bases as you analyzed in Exercise 5.1?\u00a0 If so, how?<\/div>\n<\/div>\n<h1>6. Zapotec numbers today<\/h1>\n<p>Listen to the numbers in Zapotec as spoken today in San Jer\u00f3nimo Tlacochahuaya, the same town where the grammar of Colonial Valley Zapotec (see Figure 1) was written nearly 500 years ago.\u00a0 Maestro Mois\u00e9s Garc\u00eda Guzm\u00e1n has a <a href=\"https:\/\/www.youtube.com\/watch?v=aajhujTUL20&amp;list=PLh7FCBo-wt5uJWS89HvgSv5DP-UTgJrsr\">playlist<\/a> of the numbers 1-100 on his YouTube channel.<\/p>\n<p>(For more on the differences between counting in Colonial Valley Zapotec and Modern Valley Zapotec, see the chapter on <a href=\"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/chapter\/language-shift\/\">Language Shift<\/a>.)<\/p>\n<p>&nbsp;<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Zapoteco de Tlacochahuaya 9 ~ Numeraci\u00f3n del 21 al 30.\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/aajhujTUL20?list=PLh7FCBo-wt5uJWS89HvgSv5DP-UTgJrsr\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise 6.1<\/p>\n<\/header>\n<div class=\"textbox__content\">What similarities and differences do you notice between numbers written in the colonial period and how they sound today?<\/div>\n<\/div>\n<div>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise 6.2 How does it work in your language?<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>What are the numbers like in your language? What similarities and differences do you notice between the numbers in your language and the numbers in Colonial Valley Zapotec?<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise 6.3<\/p>\n<\/header>\n<div class=\"textbox__content\">Search the internet for more examples of Zapotec counting. Compare them to the numbers in Tlacochahuaya Zapotec.<\/div>\n<\/div>\n<h1>References<\/h1>\n<p>Blokland, Frank E. 2012. On the origin of Patterning in Movable Latin Type. <a href=\"https:\/\/www.lettermodel.org\/\">https:\/\/www.lettermodel.org\/<\/a><\/p>\n<p>Cordova, Fray Juan de. 1578. <em>Arte en lengua zapoteca<\/em>. Mexico: En casa de Pedro Balli. Facsimile on <a href=\"https:\/\/archive.org\/\">archive.org<\/a>, courtesy of the John Carter Brown Library. <a href=\"https:\/\/archive.org\/details\/arteenlenguazapo00juan\">https:\/\/archive.org\/details\/arteenlenguazapo00juan<\/a><\/p>\n<p>Heller, Steven. 2018. Initial Caps: The Birth of Illustrated Typography. <em>Design Observer<\/em>. <a href=\"https:\/\/designobserver.com\/feature\/initial-caps-the-birth-of-illustrated-typography\/39885\">https:\/\/designobserver.com\/feature\/initial-caps-the-birth-of-illustrated-typography\/39885<\/a><\/p>\n<div class=\"glossary\"><span class=\"screen-reader-text\" id=\"definition\">definition<\/span><template id=\"term_30_1136\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_30_1136\"><div tabindex=\"-1\"><p>The <strong>Mexican Colonial Period<\/strong>, the time between the colonization of the region by Spain and the independence of Mexico, stretches from 1521 to 1821.<\/p>\n<\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><template id=\"term_30_320\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_30_320\"><div tabindex=\"-1\"><p><strong>Movable-type printing<\/strong> is a printing technology utilizing individual metallic cast letters that can be arranged one by one in lines to make a page to be printed. Like engravings, this page is the mirror image of the eventual print. Ink is applied to the page to be printed and then the entire page is \"stamped\" on paper. When reading documents printed with movable-type, it is not uncommon to notice letters that were placed upside down or similar shaped letters substituted for an intended letter.<\/p>\n<\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><template id=\"term_30_1128\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_30_1128\"><div tabindex=\"-1\"><p>A <strong>diacritic<\/strong> is a mark written above or below a letter, indicating a difference in pronunciation. You might recognize acute accents (\u00e1) from Spanish or diaereses\/umlauts (\u00e4) from German.<\/p>\n<\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><template id=\"term_30_1129\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_30_1129\"><div tabindex=\"-1\"><p>In some languages, the pitch or <strong>tone<\/strong> of a word affects the meaning. For example, in Teotitl\u00e1n del Valle Zapotec, <em>dyag<\/em> with a low tone means 'ear', while <em>dy\u01ceg<\/em> with a rising tone means 'hare'.<\/p>\n<\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><template id=\"term_30_1131\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_30_1131\"><div tabindex=\"-1\"><p>An <strong>affix<\/strong> is attached to a word to modify it's meaning. A <strong>prefix<\/strong> is attached to the beginning of a word, while a <strong>suffix<\/strong> is attached to the end. For example the English word <em>unhappiness <\/em>is composed of the prefix <em>un-,<\/em> the root or base word <em>happy<\/em>, and the suffix <em>-ness<\/em>.<\/p>\n<\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><template id=\"term_30_1135\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_30_1135\"><div tabindex=\"-1\"><p><strong>Mesoamerica<\/strong> describes the geographic area between central Mexico and northern Costa Rica. Indigenous cultures of Mesoamerica speak many different languages, but have a long shared history of trade and cultural exchange.<\/p>\n<\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><\/div>","protected":false},"author":1,"menu_order":1,"template":"","meta":{"pb_show_title":"on","pb_short_title":"Unit 2: Numbers","pb_subtitle":"","pb_authors":["blilleha"],"pb_section_license":""},"chapter-type":[],"contributor":[61],"license":[],"class_list":["post-30","chapter","type-chapter","status-publish","hentry","contributor-blilleha"],"part":756,"_links":{"self":[{"href":"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/wp-json\/pressbooks\/v2\/chapters\/30","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/wp-json\/wp\/v2\/users\/1"}],"version-history":[{"count":85,"href":"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/wp-json\/pressbooks\/v2\/chapters\/30\/revisions"}],"predecessor-version":[{"id":1296,"href":"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/wp-json\/pressbooks\/v2\/chapters\/30\/revisions\/1296"}],"part":[{"href":"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/wp-json\/pressbooks\/v2\/parts\/756"}],"metadata":[{"href":"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/wp-json\/pressbooks\/v2\/chapters\/30\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/wp-json\/wp\/v2\/media?parent=30"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/wp-json\/pressbooks\/v2\/chapter-type?post=30"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/wp-json\/wp\/v2\/contributor?post=30"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ds-archive.haverford.edu\/ticha-resources\/modules\/wp-json\/wp\/v2\/license?post=30"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}