The Number Rhyme | Donald P. Goodman III | Dozenal Society of America/title> <meta charset="UTF-8" /> <meta name="description" content="The Dozenal Society of America is an international non-profit dedicated to researching, using, and teaching about dozenals (duodecimals) and other non-decimal number bases." /> <link rel="stylesheet" type="text/css" href="dozens.css" /> <link rel="icon" type="image/png" href="DSA_seal_favicon.png"/> <meta name="viewport" content="width=device-width, initial-scale=1" /> <link rel="license" href="https://creativecommons.org/licenses/by/4.0/" /> </head> <body> <div class="titlebar"> <div class="titlebar-img"> <a href="index.html"> <img alt="Seal of the DSA" src="DSA_seal_website.png" /> </a> </div> <div class="titlebar-text"> <div class="joinus"> <a href="about-us-dsa-membership-form.html">Join Us!</a> </div> <div class="website-title">Dozenal Society of America</div> <div class="website-tagline">Promoting base twelve and alternative base mathematics</div> </div> <div class="navbar"> <ul> <li><a href="index.html" title="Main Page">Home</a></li> <li><a href="articles-and-books.html" title="Individually typeset articles and books about various dozenal-related topics">Articles and Books</a></li> <li><a href="duodecimal-bulletin.html" title="The long-running official journal of the Dozenal Society of America.">The Duodecimal Bulletin</a></li> <li><a href="media.html" title="Dozenals in Multimedia: Video, Audio, Graphics">Media</a></li> <li><a href="resources.html" title="Tools and resources for working with the dozenal system">Resources</a></li> <li><a href="dsa-newscast.html" title="DSA Newscast">DSA Newscast</a></li> <li><a href="about-us.html" title="Who we are, and why and how to join us">About Us</a></li> </ul> </div>  </div>  <div class="leftbar">  <div id = "donatebox" class="dispbox"> <div class="disp-title"> Support the DSA </div> <div class="disp-text"> <a href="leftbar-donate.html">Donate</a> </div> </div>  <div id = "followus" class="dispbox"> <div class="disp-title"> Follow Us </div> <div class="disp-text"> <a href="http://www.x.com/dozenal"><img alt="Icon for DSA's X" title="Follow the DSA on X" src="leftbar-x.png" height="16" width="16"/></a> <a href="http://www.facebook.com/dozenal"><img alt="Icon for DSA's Facebook" title="Follow the DSA on Facebook" src="leftbar-facebook.png" /></a> <a href="rss.xml"><img alt="Icon for DSA's RSS" title="Subscribe to the DSA's RSS Feed" src="leftbar-rss.png" /></a> </div> </div>  <div id = "sharebox" class="dispbox"> <div class="disp-title"> Share This Page </div> <div class="disp-text"> <a href="http://x.com/share?url=http://www.dozenal.org/article-goodman-number-rhyme.html&text=%20http://www.dozenal.org/article-goodman-number-rhyme.html%20via%20@dozenal"><img alt="Icon for sharing via X" title="Share this page via X" src="leftbar-x.png" height=16 width=16 /></a> <a href="http://www.facebook.com/sharer.php?u=http://www.dozenal.org/article-goodman-number-rhyme.html&t="><img src="leftbar-facebook.png" alt="Icon for sharing via Facebook" title="Share this page via Facebook" /></a> <a href="mailto:EMAIL ADDRESS?body=http://www.dozenal.org/article-goodman-number-rhyme.html"><img src="leftbar-email.png" alt="Icon for sharing via email" title="Share this page via email" /></a> </div> </div>  <div id = "descbox" class="dispbox"> <div class="disp-title"> The Dozenal Society of America </div> <div class="disp-text"> The DSA is a voluntary, nonprofit education corporation, organized for the conduct of research and education of the public in the use of dozenal (also called duodecimal or base-twelve) in calculations, mathematics, weights and measures, and other branches of pure and applied science. </div> </div> </div>  <div class="mainpart"> <h1 class="page-title">The Number Rhyme</h1> <table class="nicetab"> <tr> <td style="white-space:nowrap; text-align: center; vertical-align: top"><br/> <a href="article-goodman-number-rhyme.pdf"> <img src="article-goodman-number-rhyme.png" width="96" height="150" /> <br>Click to view PDF </a> </td> <td width="100%"> <p><strong>Title:</strong> <a href="articles-and-books.html#article-goodman-number-rhyme">The Number Rhyme</a></p> <p><strong>Author:</strong> Donald P. Goodman III</</p> <p><strong>Year:</strong> 11B9<sub>z</sub> (2013<sub>d</sub>)</p> <p><strong>Subject:</strong> A simple rhyme teaching counting and the basic characteristics of number one to a dozen.</p> <p>A simple rhyme describing the basic characteristics of the numbers 1–10<sub>z</sub> (one through a dozen), intended to be useful for students, particularly young children. More advanced that the traditional “One, two, buckle my shoe,” but designed to be a similar way to teach counting, though this rhyme at the same time teaches something about the numbers themselves.</p> </td> </tr> </table> </div> <div class="footer"> Copyright © <span style="color: red">11B9–120A<sub>z</sub></span> (2013–2026<sub>d</sub>). The <span style="color: red">Dozenal</span> Society of America. <a href="about-us-contact-us.html">Contact Us</a>.<br/> <a rel="license" href="http://creativecommons.org/licenses/by/4.0/"><img alt="Creative Commons License" style="border-width:0" src="http://i.creativecommons.org/l/by/4.0/88x31.png" /></a><br/> This site and the documents on it are licensed under a <a rel="license" href="http://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution 4.0 International License</a>. <br/><br/> This site expresses numbers in alternative bases, particularly <span style="color: red">dozenal</span> (also called <span style="color: red">duodecimal</span>, or <span style="color: red">base twelve</span>).<br/> The DSA does not endorse any particular notation or pronunciation scheme for alternative bases.<br/> However this site defaults to the following to ensure online readability across all platforms:<br/> “Computerese” uppercase letters represent transdecimal digits: A = ten, B = eleven, C = twelve, etc.<br/> Single-character subscripts annotate bases: d = <u>d</u>ecimal, <span style="color: red">z = do<u>z</u>enal,</span> x = he<u>x</u>adecimal, etc., e.g., 2014<sub>d</sub> = <span style="color: red">11BA<sub>z</sub></span> = 7DE<sub>x</sub>. <br/><br/> <div style="white-space: nowrap">(<span style="font-family: monospace">0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 ...</span>)<sub>d</sub><br /> <span style="color: red">(<span style="font-family: monospace">0 1 2 3 4 5 6 7 8 9 A B 10 11 12 13 14 15 16 17 18 19 1A 1B 20 21 22 23 24 25 26 27 28 29 2A 2B 30 ...</span>)<sub>z</sub></span><br /> (<span style="font-family: monospace">0 1 2 3 4 5 6 7 8 9 A B C D E F 10 11 12 13 14 15 16 17 18 19 1A 1B 1C 1D 1E 1F 20 21 22 23 24 ...</span>)<sub>x</sub></div> <br /> PDF documents on this site reflect changing practices among dozenalists over the years:<br/> Various symbols have been used to represent digits ten and eleven:<br/> Dwiggins 𝒳 and Ɛ (often rendered X and E); Bell Telephone * and #; Pitman turned 2 and 3 (↊ and ↋); etc.<br/> Italics were once used to distinguish dozenal numbers from decimal: e.g. 0.5 = <span style="color: red"><i>0.6</i></span>.<br/> Later, semicolon became a separate‑identity “dozenal point”, versus period as “decimal point”: e.g., 0.5 = <span style="color: red">0;6</span>.<br/> However, subscript base annotations provide a more versatile solution that is least‑change: e.g., 0.5<sub>d</sub> = <span style="color: red">0.6<sub>z</sub></span> = 0.8<sub>x</sub> <br/><br/> <span style="color: red">Dozenal</span> offers superior divisibility over decimal, which can make everyday arithmetic easier to learn: <br> ⅙ = <span style="color: red">0.2<sub>z</sub></span> | ¼ = <span style="color: red">0.3<sub>z</sub></span> | ⅓ = <span style="color: red">0.4<sub>z</sub></span> | ½ = <span style="color: red">0.6<sub>z</sub></span> | ⅔ = <span style="color: red">0.8<sub>z</sub></span> | ¾ = <span style="color: red">0.9<sub>z</sub></span> | ⅚ = <span style="color: red">0.A<sub>z</sub></span> <br> ⅙ = 0.1666…<sub>d</sub> | ¼ = 0.25<sub>d</sub> | ⅓ = 0.333…<sub>d</sub> | ½ = 0.5<sub>d</sub> | ⅔ = 0.666…<sub>d</sub> | ¾ = 0.75<sub>d</sub> | ⅚ = 0.8333…<sub>d</sub> <br/><br/> <span style="color: red">EACH ONE, TEACH ONE.</span> </div>  </body> </html>