101edo: Difference between revisions
Wikispaces>JosephRuhf **Imported revision 588470276 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 588490668 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-08-01 | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-08-01 14:12:21 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>588490668</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt></tt><br> | ||
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
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<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">**//101-EDO//** divides the [[octave]] into 101 equal parts of 11.881 [[cent]]s each. It can be used to tune the [[Schismatic family|grackle temperament]]. It is the 26th [[prime numbers|prime]] edo. The 101cd val provides an excellent tuning for [[Magic family#Witchcraft|witchcraft temperament]], falling between the 13 and 15 limit least squares tuning. | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">**//101-EDO//** divides the [[octave]] into 101 equal parts of 11.881 [[cent]]s each. It can be used to tune the [[Schismatic family|grackle temperament]]. It is the 26th [[prime numbers|prime]] edo. The 101cd val provides an excellent tuning for [[Magic family#Witchcraft|witchcraft temperament]], falling between the 13 and 15 limit least squares tuning. | ||
[[5-limit]] commas: 32805/32768, <5 13 -11| | [[5-limit]] [[#|commas]]: 32805/32768, <5 13 -11| | ||
[[7-limit]] commas: 126/125, 32805/32768, 2430/2401 | [[7-limit]] commas: 126/125, 32805/32768, 2430/2401 | ||
| Line 15: | Line 15: | ||
**25 13 25 25 13:** //3L2s MOS// (Pentatonic) | **25 13 25 25 13:** //3L2s MOS// (Pentatonic) | ||
|| 25 | || 25 || 297.03 || | ||
|| 38 | || 38 || 451.485 || | ||
|| 63 | || 63 || 748.515 || | ||
|| 88 | || 88 || 1045.545 || | ||
**17 17 8 17 17 17 8:** //5L2s MOS// (Diatonic Pythagorean) | **17 17 8 17 17 17 8:** //5L2s MOS// ([[#|Diatonic]] Pythagorean) | ||
|| **17 | || **17** || **201.98** || | ||
|| 34 | || 34 || 403.96 || | ||
|| **42 | || **42** || **499.01** || | ||
|| **59 | || **59** || **700.99** || | ||
|| **76 | || **76** || **902.97** || | ||
|| 93 | || 93 || 1104.95 || | ||
**13 13 13 13 13 13 13 10:** //7L1s MOS// (Grumpy Octatonic) | **13 13 13 13 13 13 13 10:** //7L1s MOS// (Grumpy Octatonic) | ||
|| 13 | || 13 || 154.455 || | ||
|| 26 | || 26 || 308.911 || | ||
|| 39 | || 39 || 463.366 || | ||
|| 52 | || 52 || 617.822 || | ||
|| 65 | || 65 || 772.277 || | ||
|| 78 | || 78 || 926.733 || | ||
|| 91 | || 91 || 1081.188 || | ||
**13 13 13 5 13 13 13 13 5:** //7L2s MOS// (Superdiatonic 1/13-tone 13;5 relation) | **13 13 13 5 13 13 13 13 5:** //7L2s MOS// (Superdiatonic 1/13-tone 13;5 relation) | ||
|| **13/101** || **154.455** || | || **13/101** || **154.455** || | ||
| Line 44: | Line 44: | ||
|| 96/101 || 1045.545 || | || 96/101 || 1045.545 || | ||
**10 10 7 10 10 10 7 10 10 10 7:** //8L3s MOS// (Improper Sensi-11) | **10 10 7 10 10 10 7 10 10 10 7:** //8L3s MOS// (Improper Sensi-11) | ||
|| **10 | || **10** || **118.812** || | ||
|| 20 | || 20 || 237.624 || | ||
|| **27 | || **27** || **320.792** || | ||
|| **37 | || **37** || **439.604** || | ||
|| **47 | || **47** || **558.416** || | ||
|| 57 | || 57 || 677.228 || | ||
|| **64 | || **64** || **760.396** || | ||
|| **74 | || **74** || **879.218** || | ||
|| **84 | || **84** || **998.03** || | ||
|| 94 | || 94 || 1116.842 || | ||
**7 7 7 8 7 7 7 7 8 7 7 7 7 8:** //3L11s MOS// (Anti-Ketradektriatoh form) | **7 7 7 8 7 7 7 7 8 7 7 7 7 8:** //3L11s MOS// (Anti-Ketradektriatoh [[#|form]]) | ||
|| **7** || **83.168** || | |||
|| **14** || **166.337** || | |||
|| 22 || 261.386 || | |||
|| **29** || **344.5545** || | |||
|| **36** || **427.723** || | |||
|| **43** || **510.891** || | |||
|| **50** || **594.0595** || | |||
|| 58 || 689.119 || | |||
|| **65** || **772.287** || | |||
|| **72** || **855.4455** || | |||
|| **79** || **938.614** || | |||
|| **86** || **1021.782** || | |||
|| 93 || 1104.95 || | |||
=Links= | =Links= | ||
| Line 61: | Line 74: | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>101edo</title></head><body><strong><em>101-EDO</em></strong> divides the <a class="wiki_link" href="/octave">octave</a> into 101 equal parts of 11.881 <a class="wiki_link" href="/cent">cent</a>s each. It can be used to tune the <a class="wiki_link" href="/Schismatic%20family">grackle temperament</a>. It is the 26th <a class="wiki_link" href="/prime%20numbers">prime</a> edo. The 101cd val provides an excellent tuning for <a class="wiki_link" href="/Magic%20family#Witchcraft">witchcraft temperament</a>, falling between the 13 and 15 limit least squares tuning.<br /> | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>101edo</title></head><body><strong><em>101-EDO</em></strong> divides the <a class="wiki_link" href="/octave">octave</a> into 101 equal parts of 11.881 <a class="wiki_link" href="/cent">cent</a>s each. It can be used to tune the <a class="wiki_link" href="/Schismatic%20family">grackle temperament</a>. It is the 26th <a class="wiki_link" href="/prime%20numbers">prime</a> edo. The 101cd val provides an excellent tuning for <a class="wiki_link" href="/Magic%20family#Witchcraft">witchcraft temperament</a>, falling between the 13 and 15 limit least squares tuning.<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/5-limit">5-limit</a> commas: 32805/32768, &lt;5 13 -11|<br /> | <a class="wiki_link" href="/5-limit">5-limit</a> [[#|commas]]: 32805/32768, &lt;5 13 -11|<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/7-limit">7-limit</a> commas: 126/125, 32805/32768, 2430/2401<br /> | <a class="wiki_link" href="/7-limit">7-limit</a> commas: 126/125, 32805/32768, 2430/2401<br /> | ||
| Line 72: | Line 85: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<td>25 | <td>25<br /> | ||
</td> | </td> | ||
<td>297.03<br /> | <td>297.03<br /> | ||
| Line 78: | Line 91: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>38 | <td>38<br /> | ||
</td> | </td> | ||
<td>451.485<br /> | <td>451.485<br /> | ||
| Line 84: | Line 97: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>63 | <td>63<br /> | ||
</td> | </td> | ||
<td>748.515<br /> | <td>748.515<br /> | ||
| Line 90: | Line 103: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>88 | <td>88<br /> | ||
</td> | </td> | ||
<td>1045.545<br /> | <td>1045.545<br /> | ||
| Line 97: | Line 110: | ||
</table> | </table> | ||
<strong>17 17 8 17 17 17 8:</strong> <em>5L2s MOS</em> (Diatonic Pythagorean)<br /> | <strong>17 17 8 17 17 17 8:</strong> <em>5L2s MOS</em> ([[#|Diatonic]] Pythagorean)<br /> | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<td><strong>17 | <td><strong>17</strong><br /> | ||
</td> | </td> | ||
<td><strong>201.98</strong><br /> | <td><strong>201.98</strong><br /> | ||
| Line 108: | Line 121: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>34 | <td>34<br /> | ||
</td> | </td> | ||
<td>403.96<br /> | <td>403.96<br /> | ||
| Line 114: | Line 127: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><strong>42 | <td><strong>42</strong><br /> | ||
</td> | </td> | ||
<td><strong>499.01</strong><br /> | <td><strong>499.01</strong><br /> | ||
| Line 120: | Line 133: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><strong>59 | <td><strong>59</strong><br /> | ||
</td> | </td> | ||
<td><strong>700.99</strong><br /> | <td><strong>700.99</strong><br /> | ||
| Line 126: | Line 139: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><strong>76 | <td><strong>76</strong><br /> | ||
</td> | </td> | ||
<td><strong>902.97</strong><br /> | <td><strong>902.97</strong><br /> | ||
| Line 132: | Line 145: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>93 | <td>93<br /> | ||
</td> | </td> | ||
<td>1104.95<br /> | <td>1104.95<br /> | ||
| Line 144: | Line 157: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<td>13 | <td>13<br /> | ||
</td> | </td> | ||
<td>154.455<br /> | <td>154.455<br /> | ||
| Line 150: | Line 163: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>26 | <td>26<br /> | ||
</td> | </td> | ||
<td>308.911<br /> | <td>308.911<br /> | ||
| Line 156: | Line 169: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>39 | <td>39<br /> | ||
</td> | </td> | ||
<td>463.366<br /> | <td>463.366<br /> | ||
| Line 162: | Line 175: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>52 | <td>52<br /> | ||
</td> | </td> | ||
<td>617.822<br /> | <td>617.822<br /> | ||
| Line 168: | Line 181: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>65 | <td>65<br /> | ||
</td> | </td> | ||
<td>772.277<br /> | <td>772.277<br /> | ||
| Line 174: | Line 187: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>78 | <td>78<br /> | ||
</td> | </td> | ||
<td>926.733<br /> | <td>926.733<br /> | ||
| Line 180: | Line 193: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>91 | <td>91<br /> | ||
</td> | </td> | ||
<td>1081.188<br /> | <td>1081.188<br /> | ||
| Line 246: | Line 259: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<td><strong>10 | <td><strong>10</strong><br /> | ||
</td> | </td> | ||
<td><strong>118.812</strong><br /> | <td><strong>118.812</strong><br /> | ||
| Line 252: | Line 265: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>20 | <td>20<br /> | ||
</td> | </td> | ||
<td>237.624<br /> | <td>237.624<br /> | ||
| Line 258: | Line 271: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><strong>27 | <td><strong>27</strong><br /> | ||
</td> | </td> | ||
<td><strong>320.792</strong><br /> | <td><strong>320.792</strong><br /> | ||
| Line 264: | Line 277: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><strong>37 | <td><strong>37</strong><br /> | ||
</td> | </td> | ||
<td><strong>439.604</strong><br /> | <td><strong>439.604</strong><br /> | ||
| Line 270: | Line 283: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><strong>47 | <td><strong>47</strong><br /> | ||
</td> | </td> | ||
<td><strong>558.416</strong><br /> | <td><strong>558.416</strong><br /> | ||
| Line 276: | Line 289: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>57 | <td>57<br /> | ||
</td> | </td> | ||
<td>677.228<br /> | <td>677.228<br /> | ||
| Line 282: | Line 295: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><strong>64 | <td><strong>64</strong><br /> | ||
</td> | </td> | ||
<td><strong>760.396</strong><br /> | <td><strong>760.396</strong><br /> | ||
| Line 288: | Line 301: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><strong>74 | <td><strong>74</strong><br /> | ||
</td> | </td> | ||
<td><strong>879.218</strong><br /> | <td><strong>879.218</strong><br /> | ||
| Line 294: | Line 307: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><strong>84 | <td><strong>84</strong><br /> | ||
</td> | </td> | ||
<td><strong>998.03</strong><br /> | <td><strong>998.03</strong><br /> | ||
| Line 300: | Line 313: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>94 | <td>94<br /> | ||
</td> | </td> | ||
<td>1116.842<br /> | <td>1116.842<br /> | ||
| Line 307: | Line 320: | ||
</table> | </table> | ||
<strong>7 7 7 8 7 7 7 7 8 7 7 7 7 8:</strong> <em>3L11s MOS</em> (Anti-Ketradektriatoh form)<br /> | <strong>7 7 7 8 7 7 7 7 8 7 7 7 7 8:</strong> <em>3L11s MOS</em> (Anti-Ketradektriatoh [[#|form]])<br /> | ||
<table class="wiki_table"> | |||
<tr> | |||
<td><strong>7</strong><br /> | |||
</td> | |||
<td><strong>83.168</strong><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><strong>14</strong><br /> | |||
</td> | |||
<td><strong>166.337</strong><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>22<br /> | |||
</td> | |||
<td>261.386<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><strong>29</strong><br /> | |||
</td> | |||
<td><strong>344.5545</strong><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><strong>36</strong><br /> | |||
</td> | |||
<td><strong>427.723</strong><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><strong>43</strong><br /> | |||
</td> | |||
<td><strong>510.891</strong><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><strong>50</strong><br /> | |||
</td> | |||
<td><strong>594.0595</strong><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>58<br /> | |||
</td> | |||
<td>689.119<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><strong>65</strong><br /> | |||
</td> | |||
<td><strong>772.287</strong><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><strong>72</strong><br /> | |||
</td> | |||
<td><strong>855.4455</strong><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><strong>79</strong><br /> | |||
</td> | |||
<td><strong>938.614</strong><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><strong>86</strong><br /> | |||
</td> | |||
<td><strong>1021.782</strong><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>93<br /> | |||
</td> | |||
<td>1104.95<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Links"></a><!-- ws:end:WikiTextHeadingRule:2 -->Links</h1> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Links"></a><!-- ws:end:WikiTextHeadingRule:2 -->Links</h1> | ||
<a class="wiki_link_ext" href="http://tech.groups.yahoo.com/group/tuning-math/message/11157" rel="nofollow">The Ellis duodene in 101-equal</a></body></html></pre></div> | <a class="wiki_link_ext" href="http://tech.groups.yahoo.com/group/tuning-math/message/11157" rel="nofollow">The Ellis duodene in 101-equal</a></body></html></pre></div> | ||