List of superparticular intervals: Difference between revisions
Wikispaces>spt3125 **Imported revision 616349117 - Original comment: added 325/324, cleaned up exponent formatting** |
Wikispaces>spt3125 **Imported revision 616359519 - Original comment: added monzos (through 19-limit)** |
||
| Line 1: | Line 1: | ||
<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:spt3125|spt3125]] and made on <tt>2017-08- | : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2017-08-13 13:30:36 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>616359519</tt>.<br> | ||
: The revision comment was: <tt>added | : The revision comment was: <tt>added monzos (through 19-limit)</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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext content:</h4> | ||
<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">[[Superparticular]] numbers are ratios of the form (n+1)/n, or 1+1/n, where n is a whole number other than 1. They appear frequently in [[Just Intonation]] and [[OverToneSeries|Harmonic Series]] music. Adjacent tones in the harmonic series are separated by superparticular intervals: for instance, the 20th and 21st by the superparticular ratio [[21_20|21/20]]. As the overtones get closer together, the superparticular intervals get smaller and smaller. Thus, an examination of the superparticular intervals is an examination of some of the simplest small intervals in rational tuning systems. Indeed, many but not all common [[comma]]s are superparticular ratios. | <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">[[Superparticular]] numbers are ratios of the form (n+1)/n, or 1+1/n, where n is a whole number other than 1. They appear frequently in [[Just Intonation]] and [[OverToneSeries|Harmonic Series]] music. Adjacent tones in the harmonic series are separated by superparticular intervals: for instance, the 20th and 21st by the superparticular ratio [[21_20|21/20]]. As the overtones get closer together, the superparticular intervals get smaller and smaller. Thus, an examination of the superparticular intervals is an examination of some of the simplest small intervals in rational tuning systems. Indeed, many but not all common [[comma]]s are superparticular ratios. | ||
The list below is ordered by [[harmonic limit]], or the largest prime involved in the prime factorization. [[36_35|36/35]], for instance, is an interval of the [[7-limit]], as it factors to (2<span style=" | The list below is ordered by [[harmonic limit]], or the largest prime involved in the prime factorization. [[36_35|36/35]], for instance, is an interval of the [[7-limit]], as it factors to (2<span style="font-size: 70%; vertical-align: super;">2</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>)/(5*7), while 37/36 would belong to the 37-limit. | ||
[[http://en.wikipedia.org/wiki/St%C3%B8rmer%27s_theorem|Størmer's theorem]] guarantees that, in each limit, there are only a finite number of superparticular ratios. Many of the sections below are complete. For example, there is no 3-limit superparticular ratio other than 2/1, 3/2, 4/3, and 9/8. | [[http://en.wikipedia.org/wiki/St%C3%B8rmer%27s_theorem|Størmer's theorem]] guarantees that, in each limit, there are only a finite number of superparticular ratios. Many of the sections below are complete. For example, there is no 3-limit superparticular ratio other than 2/1, 3/2, 4/3, and 9/8. | ||
| Line 14: | Line 14: | ||
See also: [[Gallery of Just Intervals]]. Many of the names below come from [[http://www.huygens-fokker.org/docs/intervals.html|here]]. | See also: [[Gallery of Just Intervals]]. Many of the names below come from [[http://www.huygens-fokker.org/docs/intervals.html|here]]. | ||
||~ Ratio ||~ Cents ||~ Factorization ||~ [[Monzo]] ||~ Name(s) || | |||
||||||||||~ 2-limit (complete) || | |||
|| [[2_1|2/1]] || 1200.000 || 2/1 || | 1 > || (perfect) unison, unity, perfect prime, tonic, duple || | |||
||||||||||~ 3-limit (complete) || | |||
|| [[3_2|3/2]] || 701.995 || 3/2 || | -1 1 > || [[perfect fifth]], 3rd harmonic (octave reduced), diapente || | |||
|| [[4_3|4/3]] || 498.045 || 2<span style="font-size: 70%; vertical-align: super;">2< | |||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<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>List of Superparticular Intervals</title></head><body><a class="wiki_link" href="/Superparticular">Superparticular</a> numbers are ratios of the form (n+1)/n, or 1+1/n, where n is a whole number other than 1. They appear frequently in <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a> and <a class="wiki_link" href="/OverToneSeries">Harmonic Series</a> music. Adjacent tones in the harmonic series are separated by superparticular intervals: for instance, the 20th and 21st by the superparticular ratio <a class="wiki_link" href="/21_20">21/20</a>. As the overtones get closer together, the superparticular intervals get smaller and smaller. Thus, an examination of the superparticular intervals is an examination of some of the simplest small intervals in rational tuning systems. Indeed, many but not all common <a class="wiki_link" href="/comma">comma</a>s are superparticular ratios.<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>List of Superparticular Intervals</title></head><body><a class="wiki_link" href="/Superparticular">Superparticular</a> numbers are ratios of the form (n+1)/n, or 1+1/n, where n is a whole number other than 1. They appear frequently in <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a> and <a class="wiki_link" href="/OverToneSeries">Harmonic Series</a> music. Adjacent tones in the harmonic series are separated by superparticular intervals: for instance, the 20th and 21st by the superparticular ratio <a class="wiki_link" href="/21_20">21/20</a>. As the overtones get closer together, the superparticular intervals get smaller and smaller. Thus, an examination of the superparticular intervals is an examination of some of the simplest small intervals in rational tuning systems. Indeed, many but not all common <a class="wiki_link" href="/comma">comma</a>s are superparticular ratios.<br /> | ||
<br /> | <br /> | ||
The list below is ordered by <a class="wiki_link" href="/harmonic%20limit">harmonic limit</a>, or the largest prime involved in the prime factorization. <a class="wiki_link" href="/36_35">36/35</a>, for instance, is an interval of the <a class="wiki_link" href="/7-limit">7-limit</a>, as it factors to (2<span style=" | The list below is ordered by <a class="wiki_link" href="/harmonic%20limit">harmonic limit</a>, or the largest prime involved in the prime factorization. <a class="wiki_link" href="/36_35">36/35</a>, for instance, is an interval of the <a class="wiki_link" href="/7-limit">7-limit</a>, as it factors to (2<span style="font-size: 70%; vertical-align: super;">2</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>)/(5*7), while 37/36 would belong to the 37-limit.<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/St%C3%B8rmer%27s_theorem" rel="nofollow">Størmer's theorem</a> guarantees that, in each limit, there are only a finite number of superparticular ratios. Many of the sections below are complete. For example, there is no 3-limit superparticular ratio other than 2/1, 3/2, 4/3, and 9/8.<br /> | <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/St%C3%B8rmer%27s_theorem" rel="nofollow">Størmer's theorem</a> guarantees that, in each limit, there are only a finite number of superparticular ratios. Many of the sections below are complete. For example, there is no 3-limit superparticular ratio other than 2/1, 3/2, 4/3, and 9/8.<br /> | ||
| Line 238: | Line 241: | ||
<th>Ratio<br /> | <th>Ratio<br /> | ||
</th> | </th> | ||
<th>Cents | <th>Cents<br /> | ||
</th> | </th> | ||
<th>Factorization<br /> | <th>Factorization<br /> | ||
</th> | |||
<th><a class="wiki_link" href="/Monzo">Monzo</a><br /> | |||
</th> | </th> | ||
<th>Name(s)<br /> | <th>Name(s)<br /> | ||
| Line 246: | Line 251: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<th colspan=" | <th colspan="5">2-limit (complete)<br /> | ||
</th> | </th> | ||
</tr> | </tr> | ||
| Line 255: | Line 260: | ||
</td> | </td> | ||
<td>2/1<br /> | <td>2/1<br /> | ||
</td> | |||
<td>| 1 &gt;<br /> | |||
</td> | </td> | ||
<td>(perfect) unison, unity, perfect prime, tonic, duple<br /> | <td>(perfect) unison, unity, perfect prime, tonic, duple<br /> | ||
| Line 260: | Line 267: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<th colspan=" | <th colspan="5">3-limit (complete)<br /> | ||
</th> | </th> | ||
</tr> | </tr> | ||
| Line 269: | Line 276: | ||
</td> | </td> | ||
<td>3/2<br /> | <td>3/2<br /> | ||
</td> | |||
<td>| -1 1 &gt;<br /> | |||
</td> | </td> | ||
<td><a class="wiki_link" href="/perfect%20fifth">perfect fifth</a>, 3rd harmonic (octave reduced), diapente<br /> | <td><a class="wiki_link" href="/perfect%20fifth">perfect fifth</a>, 3rd harmonic (octave reduced), diapente<br /> | ||
| Line 278: | Line 287: | ||
<td>498.045<br /> | <td>498.045<br /> | ||
</td> | </td> | ||
<td>2<span style=" | <td>2<span style="font-size: 70%; vertical-align: super;">2</span>/3<br /> | ||
</td> | |||
<td>| 2 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>perfect fourth, 3rd subharmonic (octave reduced), diatessaron<br /> | <td>perfect fourth, 3rd subharmonic (octave reduced), diatessaron<br /> | ||
| Line 288: | Line 299: | ||
<td>203.910<br /> | <td>203.910<br /> | ||
</td> | </td> | ||
<td>3<span style=" | <td>3<span style="font-size: 70%; vertical-align: super;">2</span>/2<span style="font-size: 70%; vertical-align: super;">3</span><br /> | ||
</td> | |||
<td>| -3 2 &gt;<br /> | |||
</td> | </td> | ||
<td>(Pythagorean) (whole) tone, Pythagorean major second, major whole tone, 9th harmonic or harmonic ninth (octave reduced)<br /> | <td>(Pythagorean) (whole) tone, Pythagorean major second, major whole tone, 9th harmonic or harmonic ninth (octave reduced)<br /> | ||
| Line 294: | Line 307: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<th colspan=" | <th colspan="5">5-limit (complete)<br /> | ||
</th> | </th> | ||
</tr> | </tr> | ||
| Line 302: | Line 315: | ||
<td>386.314<br /> | <td>386.314<br /> | ||
</td> | </td> | ||
<td>5/2<span style=" | <td>5/2<span style="font-size: 70%; vertical-align: super;">2</span><br /> | ||
</td> | |||
<td>| -2 0 1 &gt;<br /> | |||
</td> | </td> | ||
<td>(classic) (5-limit) major third, 5th harmonic (octave reduced)<br /> | <td>(classic) (5-limit) major third, 5th harmonic (octave reduced)<br /> | ||
| Line 313: | Line 328: | ||
</td> | </td> | ||
<td>(2*3)/5<br /> | <td>(2*3)/5<br /> | ||
</td> | |||
<td>| 1 1 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>(classic) (5-limit) minor third<br /> | <td>(classic) (5-limit) minor third<br /> | ||
| Line 322: | Line 339: | ||
<td>182.404<br /> | <td>182.404<br /> | ||
</td> | </td> | ||
<td>(2*5)/3<span style=" | <td>(2*5)/3<span style="font-size: 70%; vertical-align: super;">2</span><br /> | ||
</td> | |||
<td>| 1 -2 1 &gt;<br /> | |||
</td> | </td> | ||
<td>classic (whole) tone, classic major second, minor whole tone<br /> | <td>classic (whole) tone, classic major second, minor whole tone<br /> | ||
| Line 332: | Line 351: | ||
<td>111.713<br /> | <td>111.713<br /> | ||
</td> | </td> | ||
<td>2<span style=" | <td>2<span style="font-size: 70%; vertical-align: super;">4</span>/(3*5)<br /> | ||
</td> | |||
<td>| 4 -1 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>minor diatonic semitone, 15th subharmonic<br /> | <td>minor diatonic semitone, 15th subharmonic<br /> | ||
| Line 342: | Line 363: | ||
<td>70.672<br /> | <td>70.672<br /> | ||
</td> | </td> | ||
<td>5<span style=" | <td>5<span style="font-size: 70%; vertical-align: super;">2</span>/(2<span style="font-size: 70%; vertical-align: super;">3</span>*3)<br /> | ||
</td> | |||
<td>| -3 -1 2 &gt;<br /> | |||
</td> | </td> | ||
<td>chroma, (classic) chromatic semitone, Zarlinian semitone<br /> | <td>chroma, (classic) chromatic semitone, Zarlinian semitone<br /> | ||
| Line 352: | Line 375: | ||
<td>21.506<br /> | <td>21.506<br /> | ||
</td> | </td> | ||
<td>(3/2)<span style=" | <td>(3/2)<span style="font-size: 70%; vertical-align: super;">4</span>/5<br /> | ||
</td> | |||
<td>| -4 4 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>syntonic comma, Didymus comma<br /> | <td>syntonic comma, Didymus comma<br /> | ||
| Line 358: | Line 383: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<th colspan=" | <th colspan="5">7-limit (complete?)<br /> | ||
</th> | </th> | ||
</tr> | </tr> | ||
| Line 367: | Line 392: | ||
</td> | </td> | ||
<td>7/(2*3)<br /> | <td>7/(2*3)<br /> | ||
</td> | |||
<td>| -1 -1 0 1 &gt;<br /> | |||
</td> | </td> | ||
<td>(septimal) subminor third, septimal minor third, augmented second<br /> | <td>(septimal) subminor third, septimal minor third, augmented second<br /> | ||
| Line 376: | Line 403: | ||
<td>231.174<br /> | <td>231.174<br /> | ||
</td> | </td> | ||
<td>2<span style=" | <td>2<span style="font-size: 70%; vertical-align: super;">3</span>/7<br /> | ||
</td> | |||
<td>| 3 0 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>(septimal) supermajor second, septimal whole tone, diminished third, 7th subharmonic<br /> | <td>(septimal) supermajor second, septimal whole tone, diminished third, 7th subharmonic<br /> | ||
| Line 387: | Line 416: | ||
</td> | </td> | ||
<td>(3*5)/(2*7)<br /> | <td>(3*5)/(2*7)<br /> | ||
</td> | |||
<td>| -1 1 1 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>septimal diatonic semitone<br /> | <td>septimal diatonic semitone<br /> | ||
| Line 396: | Line 427: | ||
<td>84.467<br /> | <td>84.467<br /> | ||
</td> | </td> | ||
<td>(3*7)/(2<span style=" | <td>(3*7)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*5)<br /> | ||
</td> | |||
<td>| -2 1 -1 1 &gt;<br /> | |||
</td> | </td> | ||
<td>minor semitone, large septimal chromatic semitone<br /> | <td>minor semitone, large septimal chromatic semitone<br /> | ||
| Line 406: | Line 439: | ||
<td>62.961<br /> | <td>62.961<br /> | ||
</td> | </td> | ||
<td>(2<span style=" | <td>(2<span style="font-size: 70%; vertical-align: super;">2</span>*7)/3<span style="font-size: 70%; vertical-align: super;">3</span><br /> | ||
</td> | |||
<td>| 2 -3 0 1 &gt;<br /> | |||
</td> | </td> | ||
<td>septimal chroma, small septimal chromatic semitone, Archytas' 1/3-tone<br /> | <td>septimal chroma, small septimal chromatic semitone, Archytas' 1/3-tone<br /> | ||
| Line 416: | Line 451: | ||
<td>48.770<br /> | <td>48.770<br /> | ||
</td> | </td> | ||
<td>(2<span style=" | <td>(2<span style="font-size: 70%; vertical-align: super;">2</span>*3<span style="font-size: 70%; vertical-align: super;">3</span>)/(5*7)<br /> | ||
</td> | |||
<td>| 2 2 -1 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>septimal quarter tone, septimal diesis<br /> | <td>septimal quarter tone, septimal diesis<br /> | ||
| Line 426: | Line 463: | ||
<td>35.697<br /> | <td>35.697<br /> | ||
</td> | </td> | ||
<td>7<span style=" | <td>7<span style="font-size: 70%; vertical-align: super;">2</span>/(2<span style="font-size: 70%; vertical-align: super;">4</span>*3)<br /> | ||
</td> | |||
<td>| -4 -1 0 2 &gt;<br /> | |||
</td> | </td> | ||
<td>large septimal diesis, slendro diesis, septimal 1/6-tone<br /> | <td>large septimal diesis, slendro diesis, septimal 1/6-tone<br /> | ||
| Line 436: | Line 475: | ||
<td>34.976<br /> | <td>34.976<br /> | ||
</td> | </td> | ||
<td>2*(5/7)<span style=" | <td>2*(5/7)<span style="font-size: 70%; vertical-align: super;">2</span><br /> | ||
</td> | |||
<td>| 1 0 2 -2 &gt;<br /> | |||
</td> | </td> | ||
<td>septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis, Erlich's decatonic comma<br /> | <td>septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis, Erlich's decatonic comma<br /> | ||
| Line 446: | Line 487: | ||
<td>27.264<br /> | <td>27.264<br /> | ||
</td> | </td> | ||
<td>2<span style=" | <td>2<span style="font-size: 70%; vertical-align: super;">6</span>/(3<span style="font-size: 70%; vertical-align: super;">2</span>*7)<br /> | ||
</td> | |||
<td>| 6 -2 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>septimal comma, Archytas' comma<br /> | <td>septimal comma, Archytas' comma<br /> | ||
| Line 456: | Line 499: | ||
<td>13.795<br /> | <td>13.795<br /> | ||
</td> | </td> | ||
<td>(2*3<span style=" | <td>(2*3<span style="font-size: 70%; vertical-align: super;">2</span>*7)/5<span style="font-size: 70%; vertical-align: super;">3</span><br /> | ||
</td> | |||
<td>| 1 2 -3 1 &gt;<br /> | |||
</td> | </td> | ||
<td>starling comma, septimal semicomma<br /> | <td>starling comma, septimal semicomma<br /> | ||
| Line 466: | Line 511: | ||
<td>7.7115<br /> | <td>7.7115<br /> | ||
</td> | </td> | ||
<td>(3*5)<span style=" | <td>(3*5)<span style="font-size: 70%; vertical-align: super;">2</span>/(2<span style="font-size: 70%; vertical-align: super;">5</span>*7)<br /> | ||
</td> | |||
<td>| -5 2 2 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>marvel comma, septimal kleisma<br /> | <td>marvel comma, septimal kleisma<br /> | ||
| Line 476: | Line 523: | ||
<td>0.72120<br /> | <td>0.72120<br /> | ||
</td> | </td> | ||
<td>7<span style=" | <td>7<span style="font-size: 70%; vertical-align: super;">4</span>/(2<span style="font-size: 70%; vertical-align: super;">5</span>*3*5<span style="font-size: 70%; vertical-align: super;">2</span>)<br /> | ||
</td> | |||
<td>| -5 -1 -2 4 &gt;<br /> | |||
</td> | </td> | ||
<td>breedsma<br /> | <td>breedsma<br /> | ||
| Line 486: | Line 535: | ||
<td>0.39576<br /> | <td>0.39576<br /> | ||
</td> | </td> | ||
<td>(5<span style=" | <td>(5<span style="font-size: 70%; vertical-align: super;">4</span>*7)/(2*3<span style="font-size: 70%; vertical-align: super;">7</span>)<br /> | ||
</td> | |||
<td>| -1 -7 4 1 &gt;<br /> | |||
</td> | </td> | ||
<td>ragisma<br /> | <td>ragisma<br /> | ||
| Line 492: | Line 543: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<th colspan=" | <th colspan="5">11-limit (complete?)<br /> | ||
</th> | </th> | ||
</tr> | </tr> | ||
| Line 501: | Line 552: | ||
</td> | </td> | ||
<td>11/(2*5)<br /> | <td>11/(2*5)<br /> | ||
</td> | |||
<td>| -1 0 -1 0 1 &gt;<br /> | |||
</td> | </td> | ||
<td>(large) (undecimal) neutral second, 4/5-tone, Ptolemy's second<br /> | <td>(large) (undecimal) neutral second, 4/5-tone, Ptolemy's second<br /> | ||
| Line 510: | Line 563: | ||
<td>150.637<br /> | <td>150.637<br /> | ||
</td> | </td> | ||
<td>(2<span style=" | <td>(2<span style="font-size: 70%; vertical-align: super;">2</span>*3)/11<br /> | ||
</td> | |||
<td>| 2 1 0 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>(small) (undecimal) neutral second, 3/4-tone<br /> | <td>(small) (undecimal) neutral second, 3/4-tone<br /> | ||
| Line 521: | Line 576: | ||
</td> | </td> | ||
<td>(2*11)/(3*7)<br /> | <td>(2*11)/(3*7)<br /> | ||
</td> | |||
<td>| 1 -1 0 -1 1 &gt;<br /> | |||
</td> | </td> | ||
<td>undecimal minor semitone<br /> | <td>undecimal minor semitone<br /> | ||
| Line 530: | Line 587: | ||
<td>53.273<br /> | <td>53.273<br /> | ||
</td> | </td> | ||
<td>(3*11)/2<span style=" | <td>(3*11)/2<span style="font-size: 70%; vertical-align: super;">5</span><br /> | ||
</td> | |||
<td>| -5 1 0 0 1 &gt;<br /> | |||
</td> | </td> | ||
<td>undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, 33rd harmonic (octave reduced)<br /> | <td>undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, 33rd harmonic (octave reduced)<br /> | ||
| Line 540: | Line 599: | ||
<td>38.906<br /> | <td>38.906<br /> | ||
</td> | </td> | ||
<td>(3/2)<span style=" | <td>(3/2)<span style="font-size: 70%; vertical-align: super;">2</span>*(5/11)<br /> | ||
</td> | |||
<td>| -2 2 1 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>1/5-tone<br /> | <td>1/5-tone<br /> | ||
| Line 550: | Line 611: | ||
<td>31.767<br /> | <td>31.767<br /> | ||
</td> | </td> | ||
<td>(5*11)/(2*3<span style=" | <td>(5*11)/(2*3<span style="font-size: 70%; vertical-align: super;">3</span>)<br /> | ||
</td> | |||
<td>| -1 -3 1 0 1 &gt;<br /> | |||
</td> | </td> | ||
<td>undecimal diasecundal comma, eleventyfive comma<br /> | <td>undecimal diasecundal comma, eleventyfive comma<br /> | ||
| Line 560: | Line 623: | ||
<td>31.194<br /> | <td>31.194<br /> | ||
</td> | </td> | ||
<td>(2<span style=" | <td>(2<span style="font-size: 70%; vertical-align: super;">3</span>*7)/(5*11)<br /> | ||
</td> | |||
<td>| 3 0 -1 1 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>undecimal tritonic comma, konbini comma<br /> | <td>undecimal tritonic comma, konbini comma<br /> | ||
| Line 570: | Line 635: | ||
<td>17.576<br /> | <td>17.576<br /> | ||
</td> | </td> | ||
<td>(3/7)<span style=" | <td>(3/7)<span style="font-size: 70%; vertical-align: super;">2</span>*(11/2)<br /> | ||
</td> | |||
<td>| -1 2 0 -2 1 &gt;<br /> | |||
</td> | </td> | ||
<td>small undecimal comma, mothwellsma<br /> | <td>small undecimal comma, mothwellsma<br /> | ||
| Line 580: | Line 647: | ||
<td>17.399<br /> | <td>17.399<br /> | ||
</td> | </td> | ||
<td>(2*5/3)<span style=" | <td>(2*5/3)<span style="font-size: 70%; vertical-align: super;">2</span>/11)<br /> | ||
</td> | |||
<td>| 2 -2 2 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>Ptolemy's comma, ptolemisma<br /> | <td>Ptolemy's comma, ptolemisma<br /> | ||
| Line 590: | Line 659: | ||
<td>14.376<br /> | <td>14.376<br /> | ||
</td> | </td> | ||
<td>11<span style=" | <td>11<span style="font-size: 70%; vertical-align: super;">2</span>/(2<span style="font-size: 70%; vertical-align: super;">3</span>*3*5)<br /> | ||
</td> | |||
<td>| -3 -1 -1 0 2 &gt;<br /> | |||
</td> | </td> | ||
<td>undecimal seconds comma, biyatisma<br /> | <td>undecimal seconds comma, biyatisma<br /> | ||
| Line 600: | Line 671: | ||
<td>9.8646<br /> | <td>9.8646<br /> | ||
</td> | </td> | ||
<td>(2<span style=" | <td>(2<span style="font-size: 70%; vertical-align: super;">4</span>*11)/(5<span style="font-size: 70%; vertical-align: super;">2</span>*7)<br /> | ||
</td> | |||
<td>| 4 0 -2 -1 1 &gt;<br /> | |||
</td> | </td> | ||
<td>valinorsma<br /> | <td>valinorsma<br /> | ||
| Line 610: | Line 683: | ||
<td>7.1391<br /> | <td>7.1391<br /> | ||
</td> | </td> | ||
<td>3<span style=" | <td>3<span style="font-size: 70%; vertical-align: super;">5</span>/(2*11<span style="font-size: 70%; vertical-align: super;">2</span>)<br /> | ||
</td> | |||
<td>| -1 5 0 0 -2 &gt;<br /> | |||
</td> | </td> | ||
<td>neutral third comma, rastma<br /> | <td>neutral third comma, rastma<br /> | ||
| Line 620: | Line 695: | ||
<td>4.5026<br /> | <td>4.5026<br /> | ||
</td> | </td> | ||
<td>(5*7*11)/(2<span style=" | <td>(5*7*11)/(2<span style="font-size: 70%; vertical-align: super;">7</span>*3)<br /> | ||
</td> | |||
<td>| -7 -1 1 1 1 &gt;<br /> | |||
</td> | </td> | ||
<td>keenanisma<br /> | <td>keenanisma<br /> | ||
| Line 630: | Line 707: | ||
<td>3.9302<br /> | <td>3.9302<br /> | ||
</td> | </td> | ||
<td>(3*7)<span style=" | <td>(3*7)<span style="font-size: 70%; vertical-align: super;">2</span>/(2<span style="font-size: 70%; vertical-align: super;">3</span>*5*11)<br /> | ||
</td> | |||
<td>| -3 2 -1 2 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>Werckmeister's undecimal septenarian schisma, werckisma<br /> | <td>Werckmeister's undecimal septenarian schisma, werckisma<br /> | ||
| Line 640: | Line 719: | ||
<td>3.2090<br /> | <td>3.2090<br /> | ||
</td> | </td> | ||
<td>(2/7)<span style=" | <td>(2/7)<span style="font-size: 70%; vertical-align: super;">2</span>*3<span style="font-size: 70%; vertical-align: super;">3</span>*5/11<br /> | ||
</td> | |||
<td>| 2 3 1 -2 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>Swets' comma, swetisma<br /> | <td>Swets' comma, swetisma<br /> | ||
| Line 650: | Line 731: | ||
<td>0.57240<br /> | <td>0.57240<br /> | ||
</td> | </td> | ||
<td>(5*11)<span style=" | <td>(5*11)<span style="font-size: 70%; vertical-align: super;">2</span>/(2<span style="font-size: 70%; vertical-align: super;">4</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>*7)<br /> | ||
</td> | |||
<td>| -4 -3 2 -1 2 &gt;<br /> | |||
</td> | </td> | ||
<td>Lehmerisma<br /> | <td>Lehmerisma<br /> | ||
| Line 660: | Line 743: | ||
<td>0.17665<br /> | <td>0.17665<br /> | ||
</td> | </td> | ||
<td>[11/(5*7)]<span style=" | <td>[11/(5*7)]<span style="font-size: 70%; vertical-align: super;">2</span>*3<span style="font-size: 70%; vertical-align: super;">4</span>/2<span style="font-size: 70%; vertical-align: super;">3</span><br /> | ||
</td> | |||
<td>| -3 4 -2 -2 2 &gt;<br /> | |||
</td> | </td> | ||
<td>Gauss comma, kalisma<br /> | <td>Gauss comma, kalisma<br /> | ||
| Line 666: | Line 751: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<th colspan=" | <th colspan="5">13-limit (complete?)<br /> | ||
</th> | </th> | ||
</tr> | </tr> | ||
| Line 674: | Line 759: | ||
<td>138.573<br /> | <td>138.573<br /> | ||
</td> | </td> | ||
<td>13/(2<span style=" | <td>13/(2<span style="font-size: 70%; vertical-align: super;">2</span>*3)<br /> | ||
</td> | |||
<td>| -2 -1 0 0 0 1 &gt;<br /> | |||
</td> | </td> | ||
<td>tridecimal 2/3-tone<br /> | <td>tridecimal 2/3-tone<br /> | ||
| Line 685: | Line 772: | ||
</td> | </td> | ||
<td>(2*7)/13<br /> | <td>(2*7)/13<br /> | ||
</td> | |||
<td>| 1 0 0 1 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>2/3-tone, trienthird<br /> | <td>2/3-tone, trienthird<br /> | ||
| Line 694: | Line 783: | ||
<td>67.900<br /> | <td>67.900<br /> | ||
</td> | </td> | ||
<td>(2*13)/5<span style=" | <td>(2*13)/5<span style="font-size: 70%; vertical-align: super;">2</span><br /> | ||
</td> | |||
<td>| 1 0 -2 0 0 1 &gt;<br /> | |||
</td> | </td> | ||
<td>tridecimal 1/3-tone<br /> | <td>tridecimal 1/3-tone<br /> | ||
| Line 704: | Line 795: | ||
<td>65.337<br /> | <td>65.337<br /> | ||
</td> | </td> | ||
<td>3<span style=" | <td>3<span style="font-size: 70%; vertical-align: super;">3</span>/(2*13)<br /> | ||
</td> | |||
<td>| -1 3 0 0 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>tridecimal comma<br /> | <td>tridecimal comma<br /> | ||
| Line 714: | Line 807: | ||
<td>43.831<br /> | <td>43.831<br /> | ||
</td> | </td> | ||
<td>(2<span style=" | <td>(2<span style="font-size: 70%; vertical-align: super;">3</span>*5)/(3*13)<br /> | ||
</td> | |||
<td>| 3 -1 1 0 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>tridecimal minor diesis<br /> | <td>tridecimal minor diesis<br /> | ||
| Line 724: | Line 819: | ||
<td>26.841<br /> | <td>26.841<br /> | ||
</td> | </td> | ||
<td>(5*13)/2<span style=" | <td>(5*13)/2<span style="font-size: 70%; vertical-align: super;">6</span><br /> | ||
</td> | |||
<td>| -6 0 1 0 0 1 &gt;<br /> | |||
</td> | </td> | ||
<td>wilsorma, 13th-partial chroma<br /> | <td>wilsorma, 13th-partial chroma<br /> | ||
| Line 735: | Line 832: | ||
</td> | </td> | ||
<td>(2*3*11)/(5*13)<br /> | <td>(2*3*11)/(5*13)<br /> | ||
</td> | |||
<td>| 1 1 -1 0 1 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>winmeanma<br /> | <td>winmeanma<br /> | ||
| Line 745: | Line 844: | ||
</td> | </td> | ||
<td>(2*3*13)/(7*11)<br /> | <td>(2*3*13)/(7*11)<br /> | ||
</td> | |||
<td>| 1 1 0 -1 -1 1 &gt;<br /> | |||
</td> | </td> | ||
<td>negustma<br /> | <td>negustma<br /> | ||
| Line 754: | Line 855: | ||
<td>19.130<br /> | <td>19.130<br /> | ||
</td> | </td> | ||
<td>(7*13)/(2*3<span style=" | <td>(7*13)/(2*3<span style="font-size: 70%; vertical-align: super;">2</span>*5)<br /> | ||
</td> | |||
<td>| -1 -2 -1 1 0 1 &gt;<br /> | |||
</td> | </td> | ||
<td><a class="wiki_link" href="/The%20Biosphere">Biome</a> comma, superleap comma<br /> | <td><a class="wiki_link" href="/The%20Biosphere">Biome</a> comma, superleap comma<br /> | ||
| Line 764: | Line 867: | ||
<td>16.567<br /> | <td>16.567<br /> | ||
</td> | </td> | ||
<td>(3*5*7)/(2<span style=" | <td>(3*5*7)/(2<span style="font-size: 70%; vertical-align: super;">3</span>*13)<br /> | ||
</td> | |||
<td>| -3 1 1 1 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>small tridecimal comma, animist comma<br /> | <td>small tridecimal comma, animist comma<br /> | ||
| Line 774: | Line 879: | ||
<td>12.064<br /> | <td>12.064<br /> | ||
</td> | </td> | ||
<td>(2<span style=" | <td>(2<span style="font-size: 70%; vertical-align: super;">2</span>*3)<span style="font-size: 70%; vertical-align: super;">2</span>/(11*13)<br /> | ||
</td> | |||
<td>| 4 2 0 0 -1 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>grossma<br /> | <td>grossma<br /> | ||
| Line 784: | Line 891: | ||
<td>10.274<br /> | <td>10.274<br /> | ||
</td> | </td> | ||
<td>13<span style=" | <td>13<span style="font-size: 70%; vertical-align: super;">2</span>/(2<span style="font-size: 70%; vertical-align: super;">3</span>*3*7)<br /> | ||
</td> | |||
<td>| -3 -1 0 -1 0 2 &gt;<br /> | |||
</td> | </td> | ||
<td>buzurgisma, dhanvantarisma<br /> | <td>buzurgisma, dhanvantarisma<br /> | ||
| Line 794: | Line 903: | ||
<td>8.8554<br /> | <td>8.8554<br /> | ||
</td> | </td> | ||
<td>(2*7)<span style=" | <td>(2*7)<span style="font-size: 70%; vertical-align: super;">2</span>/(3*5*13)<br /> | ||
</td> | |||
<td>| 2 -1 -1 2 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>marveltwin comma<br /> | <td>marveltwin comma<br /> | ||
| Line 800: | Line 911: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>325/324<br /> | <td><a class="wiki_link" href="/325_324">325/324</a><br /> | ||
</td> | </td> | ||
<td>5.3351<br /> | <td>5.3351<br /> | ||
</td> | </td> | ||
<td>(5<span style=" | <td>(5<span style="font-size: 70%; vertical-align: super;">2</span>*13)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*3<span style="font-size: 70%; vertical-align: super;">4</span>)<br /> | ||
</td> | |||
<td>| -2 -4 2 0 0 1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 814: | Line 927: | ||
<td>4.9393<br /> | <td>4.9393<br /> | ||
</td> | </td> | ||
<td>(3/5)<span style=" | <td>(3/5)<span style="font-size: 70%; vertical-align: super;">2</span>*13/(2*7)<br /> | ||
</td> | |||
<td>| -1 3 -2 -1 0 1 &gt;<br /> | |||
</td> | </td> | ||
<td>ratwolfsma<br /> | <td>ratwolfsma<br /> | ||
| Line 824: | Line 939: | ||
<td>4.9253<br /> | <td>4.9253<br /> | ||
</td> | </td> | ||
<td>(2<span style=" | <td>(2<span style="font-size: 70%; vertical-align: super;">5</span>*11)/(3<span style="font-size: 70%; vertical-align: super;">2</span>*13)<br /> | ||
</td> | |||
<td>| 5 -3 0 0 1 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>minthma<br /> | <td>minthma<br /> | ||
| Line 834: | Line 951: | ||
<td>4.7627<br /> | <td>4.7627<br /> | ||
</td> | </td> | ||
<td>(2/11)<span style=" | <td>(2/11)<span style="font-size: 70%; vertical-align: super;">2</span>*7*13/3<br /> | ||
</td> | |||
<td>| 2 -1 0 1 -2 1 &gt;<br /> | |||
</td> | </td> | ||
<td>gentle comma<br /> | <td>gentle comma<br /> | ||
| Line 845: | Line 964: | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | |||
<td>| -4 -1 4 0 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>tunbarsma<br /> | <td>tunbarsma<br /> | ||
| Line 855: | Line 976: | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | |||
<td>| 2 -3 -2 0 0 2 &gt;<br /> | |||
</td> | </td> | ||
<td>island comma<br /> | <td>island comma<br /> | ||
| Line 865: | Line 988: | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | |||
<td>| -3 6 0 -1 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>squbema<br /> | <td>squbema<br /> | ||
| Line 875: | Line 1,000: | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | |||
<td>| -3 0 -3 1 1 1 &gt;<br /> | |||
</td> | </td> | ||
<td>sinbadma<br /> | <td>sinbadma<br /> | ||
| Line 885: | Line 1,012: | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | |||
<td>| 2 1 -1 -3 1 1 &gt;<br /> | |||
</td> | </td> | ||
<td>lummic comma<br /> | <td>lummic comma<br /> | ||
| Line 895: | Line 1,024: | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | |||
<td>| 5 -3 1 -1 -1 1 &gt;<br /> | |||
</td> | </td> | ||
<td>ibnsinma<br /> | <td>ibnsinma<br /> | ||
| Line 905: | Line 1,036: | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | |||
<td>| 12 -2 -1 -1 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>tridecimal schisma, Sagittal schismina<br /> | <td>tridecimal schisma, Sagittal schismina<br /> | ||
| Line 915: | Line 1,048: | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | |||
<td>| -7 -1 2 0 -1 2 &gt;<br /> | |||
</td> | </td> | ||
<td>leprechaun comma<br /> | <td>leprechaun comma<br /> | ||
| Line 925: | Line 1,060: | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | |||
<td>| 9 0 -1 0 -3 1 &gt;<br /> | |||
</td> | </td> | ||
<td>jacobin comma<br /> | <td>jacobin comma<br /> | ||
| Line 935: | Line 1,072: | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | |||
<td>| 3 -2 0 -1 3 -2 &gt;<br /> | |||
</td> | </td> | ||
<td>harmonisma<br /> | <td>harmonisma<br /> | ||
| Line 945: | Line 1,084: | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | |||
<td>| -6 6 -2 -1 -1 2 &gt;<br /> | |||
</td> | </td> | ||
<td>chalmersia<br /> | <td>chalmersia<br /> | ||
| Line 950: | Line 1,091: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<th colspan=" | <th colspan="5">17-limit (complete!)<br /> | ||
</th> | </th> | ||
</tr> | </tr> | ||
| Line 958: | Line 1,099: | ||
<td>104.955<br /> | <td>104.955<br /> | ||
</td> | </td> | ||
<td>17/2<span style=" | <td>17/2<span style="font-size: 70%; vertical-align: super;">4</span><br /> | ||
</td> | |||
<td>| -4 0 0 0 0 0 1 &gt;<br /> | |||
</td> | </td> | ||
<td>17th harmonic (octave reduced)<br /> | <td>17th harmonic (octave reduced)<br /> | ||
| Line 968: | Line 1,111: | ||
<td>98.955<br /> | <td>98.955<br /> | ||
</td> | </td> | ||
<td>(2*3<span style=" | <td>(2*3<span style="font-size: 70%; vertical-align: super;">2</span>)/17<br /> | ||
</td> | |||
<td>| 1 2 0 0 0 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>Arabic lute index finger<br /> | <td>Arabic lute index finger<br /> | ||
| Line 979: | Line 1,124: | ||
</td> | </td> | ||
<td>(2*17)/(3*11)<br /> | <td>(2*17)/(3*11)<br /> | ||
</td> | |||
<td>| 1 -1 0 0 -1 0 1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 989: | Line 1,136: | ||
</td> | </td> | ||
<td>(5*7)/(2*17)<br /> | <td>(5*7)/(2*17)<br /> | ||
</td> | |||
<td>| -1 0 1 1 0 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>septendecimal 1/4-tone<br /> | <td>septendecimal 1/4-tone<br /> | ||
| Line 998: | Line 1,147: | ||
<td>34.283<br /> | <td>34.283<br /> | ||
</td> | </td> | ||
<td>(3*17)/(2*5<span style=" | <td>(3*17)/(2*5<span style="font-size: 70%; vertical-align: super;">2</span>)<br /> | ||
</td> | |||
<td>| -1 1 -2 0 0 0 1 &gt;<br /> | |||
</td> | </td> | ||
<td>17th-partial chroma<br /> | <td>17th-partial chroma<br /> | ||
| Line 1,008: | Line 1,159: | ||
<td>33.617<br /> | <td>33.617<br /> | ||
</td> | </td> | ||
<td>(2<span style=" | <td>(2<span style="font-size: 70%; vertical-align: super;">2</span>*13)/(3*17)<br /> | ||
</td> | |||
<td>| 2 -1 0 0 0 1 -1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,018: | Line 1,171: | ||
<td>20.488<br /> | <td>20.488<br /> | ||
</td> | </td> | ||
<td>(5*17)/(2<span style=" | <td>(5*17)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*3*7)<br /> | ||
</td> | |||
<td>| -2 -1 1 -1 0 0 1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,028: | Line 1,183: | ||
<td>14.487<br /> | <td>14.487<br /> | ||
</td> | </td> | ||
<td>(2<span style=" | <td>(2<span style="font-size: 70%; vertical-align: super;">3</span>*3*5)/(7*17)<br /> | ||
</td> | |||
<td>| 3 1 1 -1 0 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,038: | Line 1,195: | ||
<td>12.777<br /> | <td>12.777<br /> | ||
</td> | </td> | ||
<td>(2/3)<span style=" | <td>(2/3)<span style="font-size: 70%; vertical-align: super;">3</span>*17/5<br /> | ||
</td> | |||
<td>| 3 -3 -1 0 0 0 1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,048: | Line 1,207: | ||
<td>11.278<br /> | <td>11.278<br /> | ||
</td> | </td> | ||
<td>(2*7*11)/(3<span style=" | <td>(2*7*11)/(3<span style="font-size: 70%; vertical-align: super;">2</span>*17)<br /> | ||
</td> | |||
<td>| 1 -2 0 1 1 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,058: | Line 1,219: | ||
<td>10.214<br /> | <td>10.214<br /> | ||
</td> | </td> | ||
<td>(2*5*17)/13<span style=" | <td>(2*5*17)/13<span style="font-size: 70%; vertical-align: super;">2</span><br /> | ||
</td> | |||
<td>| 1 0 1 0 0 -2 1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,068: | Line 1,231: | ||
<td>7.8514<br /> | <td>7.8514<br /> | ||
</td> | </td> | ||
<td>(13*17)/(2<span style=" | <td>(13*17)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*5*11)<br /> | ||
</td> | |||
<td>| -2 0 -1 0 -1 1 1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,078: | Line 1,243: | ||
<td>6.7759<br /> | <td>6.7759<br /> | ||
</td> | </td> | ||
<td>(2<span style=" | <td>(2<span style="font-size: 70%; vertical-align: super;">8</span>)/(3*5*17)<br /> | ||
</td> | |||
<td>| 8 -1 -1 0 0 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>255th subharmonic<br /> | <td>255th subharmonic<br /> | ||
| Line 1,088: | Line 1,255: | ||
<td>6.3532<br /> | <td>6.3532<br /> | ||
</td> | </td> | ||
<td>(3*7*13)/(2<span style=" | <td>(3*7*13)/(2<span style="font-size: 70%; vertical-align: super;">4</span>*17)<br /> | ||
</td> | |||
<td>| -4 1 0 1 0 1 -1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,098: | Line 1,267: | ||
<td>6.0008<br /> | <td>6.0008<br /> | ||
</td> | </td> | ||
<td>(17/3)<span style=" | <td>(17/3)<span style="font-size: 70%; vertical-align: super;">2</span>/2<span style="font-size: 70%; vertical-align: super;">5</span><br /> | ||
</td> | |||
<td>| -5 -2 0 0 0 0 2 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,108: | Line 1,279: | ||
<td>4.6228<br /> | <td>4.6228<br /> | ||
</td> | </td> | ||
<td>(3*5<span style=" | <td>(3*5<span style="font-size: 70%; vertical-align: super;">3</span>)/(2*11*17)<br /> | ||
</td> | |||
<td>| -1 1 3 0 -1 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,118: | Line 1,291: | ||
<td>3.9213<br /> | <td>3.9213<br /> | ||
</td> | </td> | ||
<td>(2*13*17)/(3*7)<span style=" | <td>(2*13*17)/(3*7)<span style="font-size: 70%; vertical-align: super;">2</span><br /> | ||
</td> | |||
<td>| 1 -2 0 -2 0 1 1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,128: | Line 1,303: | ||
<td>3.0887<br /> | <td>3.0887<br /> | ||
</td> | </td> | ||
<td>(3*11*17)/(2<span style=" | <td>(3*11*17)/(2<span style="font-size: 70%; vertical-align: super;">4</span>*5*7)<br /> | ||
</td> | |||
<td>| -4 1 -1 -1 1 0 1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,138: | Line 1,315: | ||
<td>2.9121<br /> | <td>2.9121<br /> | ||
</td> | </td> | ||
<td>(5*7*17)/(2*3<span style=" | <td>(5*7*17)/(2*3<span style="font-size: 70%; vertical-align: super;">3</span>*11)<br /> | ||
</td> | |||
<td>| -1 -3 1 1 -1 0 1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,149: | Line 1,328: | ||
</td> | </td> | ||
<td>(5*11*13)/(2*3*7*17)<br /> | <td>(5*11*13)/(2*3*7*17)<br /> | ||
</td> | |||
<td>| -1 -1 1 -1 1 1 -1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,158: | Line 1,339: | ||
<td>2.0796<br /> | <td>2.0796<br /> | ||
</td> | </td> | ||
<td>(7<span style=" | <td>(7<span style="font-size: 70%; vertical-align: super;">2</span>*17)/(2<span style="font-size: 70%; vertical-align: super;">6</span>*13)<br /> | ||
</td> | |||
<td>| -6 0 0 2 0 -1 1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,168: | Line 1,351: | ||
<td>1.8506<br /> | <td>1.8506<br /> | ||
</td> | </td> | ||
<td>(2<span style=" | <td>(2<span style="font-size: 70%; vertical-align: super;">3</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>*13)/(5*11*17)<br /> | ||
</td> | |||
<td>| 3 2 -1 0 -1 1 -1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,178: | Line 1,363: | ||
<td>1.5905<br /> | <td>1.5905<br /> | ||
</td> | </td> | ||
<td>(3<span style=" | <td>(3<span style="font-size: 70%; vertical-align: super;">2</span>*11<span style="font-size: 70%; vertical-align: super;">2</span>)/(2<span style="font-size: 70%; vertical-align: super;">6</span>*17)<br /> | ||
</td> | |||
<td>| -6 2 0 0 2 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,188: | Line 1,375: | ||
<td>1.4983<br /> | <td>1.4983<br /> | ||
</td> | </td> | ||
<td>(2<span style=" | <td>(2<span style="font-size: 70%; vertical-align: super;">2</span>*17<span style="font-size: 70%; vertical-align: super;">2</span>)/(3*5*7*11)<br /> | ||
</td> | |||
<td>| 2 -1 -1 -1 -1 0 2 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,198: | Line 1,387: | ||
<td>1.4138<br /> | <td>1.4138<br /> | ||
</td> | </td> | ||
<td>(5<span style=" | <td>(5<span style="font-size: 70%; vertical-align: super;">2</span>*7<span style="font-size: 70%; vertical-align: super;">2</span>)/(2<span style="font-size: 70%; vertical-align: super;">3</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>*17)<br /> | ||
</td> | |||
<td>| -3 -2 2 2 0 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,208: | Line 1,399: | ||
<td>1.3584<br /> | <td>1.3584<br /> | ||
</td> | </td> | ||
<td>(3*5<span style=" | <td>(3*5<span style="font-size: 70%; vertical-align: super;">2</span>*17)/(2*7<span style="font-size: 70%; vertical-align: super;">2</span>*13)<br /> | ||
</td> | |||
<td>| -1 1 2 -2 0 -1 1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,218: | Line 1,411: | ||
<td>1.0181<br /> | <td>1.0181<br /> | ||
</td> | </td> | ||
<td>(3<span style=" | <td>(3<span style="font-size: 70%; vertical-align: super;">5</span>*7)/[(2*5)<span style="font-size: 70%; vertical-align: super;">2</span>*17]<br /> | ||
</td> | |||
<td>| -2 5 -2 1 0 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,228: | Line 1,423: | ||
<td>0.8414<br /> | <td>0.8414<br /> | ||
</td> | </td> | ||
<td>(2*3*7<span style=" | <td>(2*3*7<span style="font-size: 70%; vertical-align: super;">3</span>)/(11<span style="font-size: 70%; vertical-align: super;">2</span>*17)<br /> | ||
</td> | |||
<td>| 1 1 0 3 -2 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>xenisma<br /> | <td>xenisma<br /> | ||
| Line 1,238: | Line 1,435: | ||
<td>0.7123<br /> | <td>0.7123<br /> | ||
</td> | </td> | ||
<td>(11*13*17)/(2*3<span style=" | <td>(11*13*17)/(2*3<span style="font-size: 70%; vertical-align: super;">5</span>*5)<br /> | ||
</td> | |||
<td>| -1 -5 -1 0 1 1 1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,248: | Line 1,447: | ||
<td>0.6926<br /> | <td>0.6926<br /> | ||
</td> | </td> | ||
<td>(2<span style=" | <td>(2<span style="font-size: 70%; vertical-align: super;">2</span>*5<span style="font-size: 70%; vertical-align: super;">4</span>)/(3*7<span style="font-size: 70%; vertical-align: super;">2</span>*17)<br /> | ||
</td> | |||
<td>| 2 -1 4 -2 0 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,258: | Line 1,459: | ||
<td>0.6657<br /> | <td>0.6657<br /> | ||
</td> | </td> | ||
<td>(3<span style=" | <td>(3<span style="font-size: 70%; vertical-align: super;">2</span>*17<span style="font-size: 70%; vertical-align: super;">2</span>)/(2<span style="font-size: 70%; vertical-align: super;">3</span>*5<span style="font-size: 70%; vertical-align: super;">2</span>*13)<br /> | ||
</td> | |||
<td>| -3 2 -2 0 0 -1 2 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,268: | Line 1,471: | ||
<td>0.3523<br /> | <td>0.3523<br /> | ||
</td> | </td> | ||
<td>(2*3<span style=" | <td>(2*3<span style="font-size: 70%; vertical-align: super;">3</span>*7*13)/(17<span style="font-size: 70%; vertical-align: super;">3</span>)<br /> | ||
</td> | |||
<td>| 1 3 0 1 0 1 -3 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,278: | Line 1,483: | ||
<td>0.2969<br /> | <td>0.2969<br /> | ||
</td> | </td> | ||
<td>(2<span style=" | <td>(2<span style="font-size: 70%; vertical-align: super;">3</span>*3<span style="font-size: 70%; vertical-align: super;">6</span>)/(7<span style="font-size: 70%; vertical-align: super;">3</span>*17)<br /> | ||
</td> | |||
<td>| 3 6 0 -3 0 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,288: | Line 1,495: | ||
<td>0.1399<br /> | <td>0.1399<br /> | ||
</td> | </td> | ||
<td>(2<span style=" | <td>(2<span style="font-size: 70%; vertical-align: super;">3</span>*7*13*17)/(3<span style="font-size: 70%; vertical-align: super;">2</span>*5<span style="font-size: 70%; vertical-align: super;">3</span>*11)<br /> | ||
</td> | |||
<td>| 3 -2 -3 1 -1 1 1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,298: | Line 1,507: | ||
<td>0.1202<br /> | <td>0.1202<br /> | ||
</td> | </td> | ||
<td>(2<span style=" | <td>(2<span style="font-size: 70%; vertical-align: super;">6</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>*5<span style="font-size: 70%; vertical-align: super;">2</span>)/(7*11<span style="font-size: 70%; vertical-align: super;">2</span>*17)<br /> | ||
</td> | |||
<td>| 6 2 2 -1 -2 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,308: | Line 1,519: | ||
<td>0.0606<br /> | <td>0.0606<br /> | ||
</td> | </td> | ||
<td>(13<span style=" | <td>(13<span style="font-size: 70%; vertical-align: super;">4</span>)/(2<span style="font-size: 70%; vertical-align: super;">4</span>*3*5*7*17)<br /> | ||
</td> | |||
<td>| -4 -1 -1 -1 0 4 -1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,318: | Line 1,531: | ||
<td>0.0555<br /> | <td>0.0555<br /> | ||
</td> | </td> | ||
<td>(7<span style=" | <td>(7<span style="font-size: 70%; vertical-align: super;">4</span>*13)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*3<span style="font-size: 70%; vertical-align: super;">3</span>*17<span style="font-size: 70%; vertical-align: super;">2</span>)<br /> | ||
</td> | |||
<td>| -2 -3 0 4 0 1 -2 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,328: | Line 1,543: | ||
<td>0.0466<br /> | <td>0.0466<br /> | ||
</td> | </td> | ||
<td>(2<span style=" | <td>(2<span style="font-size: 70%; vertical-align: super;">2</span>*5*11*13<span style="font-size: 70%; vertical-align: super;">2</span>)/(3<span style="font-size: 70%; vertical-align: super;">7</span>*17)<br /> | ||
</td> | |||
<td>| 2 -7 1 0 1 2 -1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,338: | Line 1,555: | ||
<td>0.0089<br /> | <td>0.0089<br /> | ||
</td> | </td> | ||
<td>(3<span style=" | <td>(3<span style="font-size: 70%; vertical-align: super;">4</span>*7<span style="font-size: 70%; vertical-align: super;">4</span>)/(2<span style="font-size: 70%; vertical-align: super;">4</span>*5*11*13*17)<br /> | ||
</td> | |||
<td>| -4 4 -1 4 -1 -1 -1&gt;<br /> | |||
</td> | </td> | ||
<td>scintillisma<br /> | <td>scintillisma<br /> | ||
| Line 1,348: | Line 1,567: | ||
<td>0.0052<br /> | <td>0.0052<br /> | ||
</td> | </td> | ||
<td>(3<span style=" | <td>(3<span style="font-size: 70%; vertical-align: super;">2</span>*13<span style="font-size: 70%; vertical-align: super;">3</span>*17)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*5*7<span style="font-size: 70%; vertical-align: super;">5</span>)<br /> | ||
</td> | |||
<td>| -2 2 -1 -5 0 3 1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,354: | Line 1,575: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<th colspan=" | <th colspan="5">19-limit (incomplete)<br /> | ||
</th> | </th> | ||
</tr> | </tr> | ||
| Line 1,362: | Line 1,583: | ||
<td>93.603<br /> | <td>93.603<br /> | ||
</td> | </td> | ||
<td>19/(2*3<span style=" | <td>19/(2*3<span style="font-size: 70%; vertical-align: super;">2</span>)<br /> | ||
</td> | |||
<td>| -1 -2 0 0 0 0 0 1 &gt;<br /> | |||
</td> | </td> | ||
<td>undevicesimal semitone<br /> | <td>undevicesimal semitone<br /> | ||
| Line 1,372: | Line 1,595: | ||
<td>88.801<br /> | <td>88.801<br /> | ||
</td> | </td> | ||
<td>(2<span style=" | <td>(2<span style="font-size: 70%; vertical-align: super;">2</span>*5)/19<br /> | ||
</td> | |||
<td>| 2 0 1 0 0 0 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td>small undevicesimal semitone<br /> | <td>small undevicesimal semitone<br /> | ||
| Line 1,383: | Line 1,608: | ||
</td> | </td> | ||
<td>(3*13)/(2*19)<br /> | <td>(3*13)/(2*19)<br /> | ||
</td> | |||
<td>| -1 1 0 0 0 1 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,392: | Line 1,619: | ||
<td>30.642<br /> | <td>30.642<br /> | ||
</td> | </td> | ||
<td>(3*19)/(2<span style=" | <td>(3*19)/(2<span style="font-size: 70%; vertical-align: super;">3</span>*7)<br /> | ||
</td> | |||
<td>| -3 1 0 -1 0 0 0 1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,402: | Line 1,631: | ||
<td>22.931<br /> | <td>22.931<br /> | ||
</td> | </td> | ||
<td>(2<span style=" | <td>(2<span style="font-size: 70%; vertical-align: super;">2</span>*19)/(3*5<span style="font-size: 70%; vertical-align: super;">2</span>)<br /> | ||
</td> | |||
<td>| 2 -1 -2 0 0 0 0 1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,412: | Line 1,643: | ||
<td>22.631<br /> | <td>22.631<br /> | ||
</td> | </td> | ||
<td>(7*11)/(2<span style=" | <td>(7*11)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*19)<br /> | ||
</td> | |||
<td>| -2 0 0 1 1 0 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,422: | Line 1,655: | ||
<td>18.128<br /> | <td>18.128<br /> | ||
</td> | </td> | ||
<td>(2<span style=" | <td>(2<span style="font-size: 70%; vertical-align: super;">5</span>*3)/(5*19)<br /> | ||
</td> | |||
<td>| 5 1 -1 0 0 0 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,432: | Line 1,667: | ||
<td>13.066<br /> | <td>13.066<br /> | ||
</td> | </td> | ||
<td>(19*7)/(2<span style=" | <td>(19*7)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*3*11)<br /> | ||
</td> | |||
<td>| -2 -1 0 1 -1 0 0 1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,442: | Line 1,679: | ||
<td>11.352<br /> | <td>11.352<br /> | ||
</td> | </td> | ||
<td>(3<span style=" | <td>(3<span style="font-size: 70%; vertical-align: super;">2</span>*17)/(2<span style="font-size: 70%; vertical-align: super;">3</span>*19)<br /> | ||
</td> | |||
<td>| -3 2 0 0 0 0 1 -1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,452: | Line 1,691: | ||
<td>10.154<br /> | <td>10.154<br /> | ||
</td> | </td> | ||
<td>(3<span style=" | <td>(3<span style="font-size: 70%; vertical-align: super;">2</span>*19)/(2*5*17)<br /> | ||
</td> | |||
<td>| -1 2 -1 0 0 0 -1 1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,462: | Line 1,703: | ||
<td>9.1358<br /> | <td>9.1358<br /> | ||
</td> | </td> | ||
<td>(2*5*19)/(3<span style=" | <td>(2*5*19)/(3<span style="font-size: 70%; vertical-align: super;">3</span>*7)<br /> | ||
</td> | |||
<td>| 1 -3 1 -1 0 0 0 1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,472: | Line 1,715: | ||
<td>8.3033<br /> | <td>8.3033<br /> | ||
</td> | </td> | ||
<td>(11*19)/(2<span style=" | <td>(11*19)/(2<span style="font-size: 70%; vertical-align: super;">4</span>*13)<br /> | ||
</td> | |||
<td>| -4 0 0 0 1 -1 0 1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,483: | Line 1,728: | ||
</td> | </td> | ||
<td>(2*3*5*7)/(11*19)<br /> | <td>(2*3*5*7)/(11*19)<br /> | ||
</td> | |||
<td>| 1 1 1 1 -1 0 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,493: | Line 1,740: | ||
</td> | </td> | ||
<td>(2*11*13)/(3*5*19)<br /> | <td>(2*11*13)/(3*5*19)<br /> | ||
</td> | |||
<td>| 1 -1 -1 0 1 1 0 -1 &gt;<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,498: | Line 1,747: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>324/323<br /> | ||
</td> | |||
<td>5.3516<br /> | |||
</td> | </td> | ||
<td>4 | <td>(2<span style="font-size: 70%; vertical-align: super;">2</span>*3<span style="font-size: 70%; vertical-align: super;">4</span>)/(17*19)<br /> | ||
</td> | </td> | ||
<td> | <td>| 2 4 0 0 0 0 -1 -1 &gt;<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,508: | Line 1,759: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>343/342<br /> | ||
</td> | |||
<td>5.0547<br /> | |||
</td> | </td> | ||
<td>3 | <td>7<span style="font-size: 70%; vertical-align: super;">4</span>/(2*3<span style="font-size: 70%; vertical-align: super;">3</span>*19)<br /> | ||
</td> | </td> | ||
<td> | <td>| -1 -2 0 3 0 0 0 -1 &gt;<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,518: | Line 1,771: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>361/360<br /> | ||
</td> | |||
<td>4.8023<br /> | |||
</td> | </td> | ||
<td>3 | <td>19<span style="font-size: 70%; vertical-align: super;">2</span>/(2<span style="font-size: 70%; vertical-align: super;">3</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>*5)<br /> | ||
</td> | </td> | ||
<td> | <td>| -3 -2 -1 0 0 0 0 2 &gt;<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,528: | Line 1,783: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>400/399<br /> | ||
</td> | |||
<td>4.3335<br /> | |||
</td> | </td> | ||
<td>3 | <td>(2<span style="font-size: 70%; vertical-align: super;">4</span>*5<span style="font-size: 70%; vertical-align: super;">2</span>)/(3*7*19)<br /> | ||
</td> | </td> | ||
<td> | <td>| 4 -1 2 -1 0 0 0 -1 &gt;<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,538: | Line 1,795: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>456/455<br /> | ||
</td> | |||
<td>3.8007<br /> | |||
</td> | </td> | ||
<td>3 | <td>(2<span style="font-size: 70%; vertical-align: super;">3</span>*3*19)/(5*7*13)<br /> | ||
</td> | </td> | ||
<td> | <td>| 3 1 -1 -1 0 -1 0 1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>476/475<br /> | |||
<td> | |||
</td> | </td> | ||
<td> | <td>3.6409<br /> | ||
</td> | |||
<td>(2<span style="font-size: 70%; vertical-align: super;">2</span>*7*17)/(5<span style="font-size: 70%; vertical-align: super;">2</span>*19)<br /> | |||
</td> | </td> | ||
<td> | <td>| 2 0 -2 1 0 0 1 -1 &gt;<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,562: | Line 1,819: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>< | <td>495/494<br /> | ||
</td> | |||
<td>3.501<br /> | |||
</td> | </td> | ||
<td> | <td>(3<span style="font-size: 70%; vertical-align: super;">2</span>*5*11)/(2*13*19)<br /> | ||
</td> | </td> | ||
<td> | <td>| -1 2 1 0 1 -1 0 -1 &gt;<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,572: | Line 1,831: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>< | <td>513/512<br /> | ||
</td> | |||
<td>3.378<br /> | |||
</td> | </td> | ||
<td> | <td>(3<span style="font-size: 70%; vertical-align: super;">3</span>*19)/2<span style="font-size: 70%; vertical-align: super;">9</span><br /> | ||
</td> | </td> | ||
<td> | <td>| -9 3 0 0 0 0 0 1 &gt;<br /> | ||
</td> | </td> | ||
<td><br /> | <td>513th harmonic<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <th colspan="5">23-limit (incomplete)<br /> | ||
</th> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/23_22">23/22</a><br /> | |||
</td> | |||
<td>76.956<br /> | |||
</td> | </td> | ||
<td> | <td>23/(2*11)<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,592: | Line 1,859: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/24_23">24/23</a><br /> | ||
</td> | </td> | ||
<td> | <td>73.681<br /> | ||
</td> | </td> | ||
<td>(2* | <td>(2<span style="font-size: 70%; vertical-align: super;">3</span>*3)/23<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,602: | Line 1,871: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/46_45">46/45</a><br /> | ||
</td> | |||
<td>38.051<br /> | |||
</td> | </td> | ||
<td> | <td>(2*23)/(3<span style="font-size: 70%; vertical-align: super;">2</span>*5)<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,612: | Line 1,883: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td><a class="wiki_link" href="/69_68">69/68</a><br /> | ||
</td> | |||
<td>25.274<br /> | |||
</td> | </td> | ||
<td> | <td>(3*23)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*17)<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,622: | Line 1,895: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td><a class="wiki_link" href="/70_69">70/69</a><br /> | ||
</td> | |||
<td>24.910<br /> | |||
</td> | </td> | ||
<td> | <td>(2*5*7)/(3*23)<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,632: | Line 1,907: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td><a class="wiki_link" href="/92_91">92/91</a><br /> | ||
</td> | </td> | ||
<td> | <td>18.921<br /> | ||
</td> | </td> | ||
<td>(2 | <td>(2<span style="font-size: 70%; vertical-align: super;">2</span>*23)/(7*13)<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,642: | Line 1,919: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>115/114<br /> | ||
</td> | </td> | ||
<td> | <td>15.120<br /> | ||
</td> | |||
<td>(5*23)/(2*3*19)<br /> | |||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,652: | Line 1,931: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>161/160<br /> | ||
</td> | |||
<td>10.7865<br /> | |||
</td> | </td> | ||
<td> | <td>(7*23)/(2<span style="font-size: 70%; vertical-align: super;">5</span>*5)<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,662: | Line 1,943: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
< | <td>162/161<br /> | ||
</ | </td> | ||
<td>10.720<br /> | |||
<td> | |||
</td> | </td> | ||
<td> | <td>(2*3<span style="font-size: 70%; vertical-align: super;">4</span>)/(7*23)<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,676: | Line 1,955: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>< | <td>208/207<br /> | ||
</td> | |||
<td>8.343<br /> | |||
</td> | </td> | ||
<td> | <td>(2<span style="font-size: 70%; vertical-align: super;">4</span>*13)/(23*9)<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,686: | Line 1,967: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>576/575<br /> | ||
</td> | </td> | ||
<td> | <td>3.008<br /> | ||
</td> | </td> | ||
<td>(2* | <td>(2<span style="font-size: 70%; vertical-align: super;">6</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>)/(23*25)<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,706: | Line 1,979: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<th colspan=" | <th colspan="5">29-limit (incomplete)<br /> | ||
</th> | </th> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/29_28">29/28</a><br /> | ||
</td> | |||
<td>60.751<br /> | |||
</td> | </td> | ||
<td> | <td>29/(2<span style="font-size: 70%; vertical-align: super;">2</span>*7)<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,720: | Line 1,995: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/30_29">30/29</a><br /> | ||
</td> | |||
<td>58.692<br /> | |||
</td> | </td> | ||
<td> | <td>(2*3*5)/29<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/58_57">58/57</a><br /> | ||
</td> | </td> | ||
<td> | <td>30.109<br /> | ||
</td> | </td> | ||
<td>(3< | <td>(2*29)/(3*19)<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,740: | Line 2,019: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/88_87">88/87</a><br /> | ||
</td> | |||
<td>19.786<br /> | |||
</td> | </td> | ||
<td> | <td>(2<span style="font-size: 70%; vertical-align: super;">3</span>*11)/(3*29)<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,750: | Line 2,031: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<th colspan=" | <th colspan="5">31-limit (incomplete)<br /> | ||
</th> | </th> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/31_30">31/30</a><br /> | ||
</td> | |||
<td>56.767<br /> | |||
</td> | </td> | ||
<td> | <td>31/(2*3*5)<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,764: | Line 2,047: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/32_31">32/31</a><br /> | ||
</td> | </td> | ||
<td> | <td>54.964<br /> | ||
</td> | </td> | ||
<td> | <td>2<span style="font-size: 70%; vertical-align: super;">5</span>/31<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | |||
<td>31st subharmonic<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/63_62">63/62</a><br /> | ||
</td> | </td> | ||
<td> | <td>27.700<br /> | ||
</td> | </td> | ||
<td>(3 | <td>(3<span style="font-size: 70%; vertical-align: super;">2</span>*7)/(2*31)<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,784: | Line 2,071: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
< | <td><a class="wiki_link" href="/93_92">93/92</a><br /> | ||
</ | </td> | ||
<td>18.716<br /> | |||
<td> | |||
</td> | </td> | ||
<td> | <td>(3*31)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*23)<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,798: | Line 2,083: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <th colspan="5">37-limit (incomplete)<br /> | ||
</th> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/37_36">37/36</a><br /> | |||
</td> | |||
<td>47.434<br /> | |||
</td> | </td> | ||
<td> | <td>37/(2<span style="font-size: 70%; vertical-align: super;">2</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>)<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,808: | Line 2,099: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/38_37">38/37</a><br /> | ||
</td> | </td> | ||
<td> | <td>46.169<br /> | ||
</td> | </td> | ||
<td>(2* | <td>(2*19)/37<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,818: | Line 2,111: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/75_74">75/74</a><br /> | |||
<td><a class="wiki_link" href="/ | |||
</td> | </td> | ||
<td> | <td>23.238<br /> | ||
</td> | |||
<td>(3*5<span style="font-size: 70%; vertical-align: super;">2</span>)/(2*37)<br /> | |||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,832: | Line 2,123: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <th colspan="5">41-limit (incomplete)<br /> | ||
</th> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/41_40">41/40</a><br /> | |||
</td> | </td> | ||
<td> | <td>42.749<br /> | ||
</td> | </td> | ||
<td>(2<span style=" | <td>41/(2<span style="font-size: 70%; vertical-align: super;">3</span>*5)<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,842: | Line 2,139: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/42_41">42/41</a><br /> | ||
</td> | |||
<td>41.719<br /> | |||
</td> | </td> | ||
<td> | <td>(2*3*7)/41<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,852: | Line 2,151: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/82_81">82/81</a><br /> | ||
</td> | |||
<td>21.242<br /> | |||
</td> | </td> | ||
<td> | <td>(2*41)/3<span style="font-size: 70%; vertical-align: super;">4</span><br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,862: | Line 2,163: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<th colspan=" | <th colspan="5">43-limit (incomplete)<br /> | ||
</th> | </th> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/43_42">43/42</a><br /> | ||
</td> | </td> | ||
<td> | <td>40.737<br /> | ||
</td> | |||
<td>43/(2*3*7)<br /> | |||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,876: | Line 2,179: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/44_43">44/43</a><br /> | ||
</td> | |||
<td>39.800<br /> | |||
</td> | </td> | ||
<td> | <td>(2<span style="font-size: 70%; vertical-align: super;">2</span>*11)/43<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,886: | Line 2,191: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/86_85">86/85</a><br /> | ||
</td> | |||
<td>20.249<br /> | |||
</td> | </td> | ||
<td> | <td>(2*43)/(5*17)<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,896: | Line 2,203: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/87_86">87/86</a><br /> | ||
</td> | |||
<td>20.014<br /> | |||
</td> | </td> | ||
<td> | <td>(3*29)/(2*43)<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,906: | Line 2,215: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<th colspan=" | <th colspan="5">47-limit (incomplete)<br /> | ||
</th> | </th> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/47_46">47/46</a><br /> | ||
</td> | </td> | ||
<td> | <td>37.232<br /> | ||
</td> | |||
<td>47/(2*23)<br /> | |||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,920: | Line 2,231: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/48_47">48/47</a><br /> | ||
</td> | |||
<td>36.448<br /> | |||
</td> | </td> | ||
<td> | <td>(2<span style="font-size: 70%; vertical-align: super;">4</span>*3)/47<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,930: | Line 2,243: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
< | <td><a class="wiki_link" href="/94_93">94/93</a><br /> | ||
</ | </td> | ||
<td>18.516<br /> | |||
<td> | |||
</td> | </td> | ||
<td> | <td>(2*47)/(3*31)<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,944: | Line 2,255: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/95_94">95/94</a><br /> | ||
</td> | |||
<td>18.320<br /> | |||
</td> | </td> | ||
<td> | <td>(5*19)/(2*47)<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,954: | Line 2,267: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<th colspan=" | <th colspan="5">53-limit (incomplete)<br /> | ||
</th> | </th> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/53_52">53/52</a><br /> | ||
</td> | |||
<td>32.977<br /> | |||
</td> | </td> | ||
<td> | <td>53/(2<span style="font-size: 70%; vertical-align: super;">2</span>*13)<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,968: | Line 2,283: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/54_53">54/53</a><br /> | ||
</td> | |||
<td>32.360<br /> | |||
</td> | </td> | ||
<td> | <td>(2*3<span style="font-size: 70%; vertical-align: super;">3</span>)/53<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,978: | Line 2,295: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<th colspan=" | <th colspan="5">59-limit (incomplete)<br /> | ||
</th> | </th> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/59_58">59/58</a><br /> | ||
</td> | |||
<td>29.594<br /> | |||
</td> | </td> | ||
<td> | <td>59/(2*29)<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,992: | Line 2,311: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/60_59">60/59</a><br /> | ||
</td> | |||
<td>29.097<br /> | |||
</td> | </td> | ||
<td> | <td>(2<span style="font-size: 70%; vertical-align: super;">2</span>*3*5)/59<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 2,002: | Line 2,323: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<th colspan=" | <th colspan="5">61-limit (incomplete)<br /> | ||
</th> | </th> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/61_60">61/60</a><br /> | ||
</td> | </td> | ||
<td>24.557<br /> | <td>28.616<br /> | ||
</td> | </td> | ||
<td>71/(2*5*7)<br /> | <td>61/(2<span style="font-size: 70%; vertical-align: super;">2</span>*3*5)<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/62_61">62/61</a><br /> | |||
</td> | |||
<td>28.151<br /> | |||
</td> | |||
<td>(2*31)/61<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<th colspan="5">67-limit (incomplete)<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/67_66">67/66</a><br /> | |||
</td> | |||
<td>26.034<br /> | |||
</td> | |||
<td>67/(2*3*11)<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/68_67">68/67</a><br /> | |||
</td> | |||
<td>25.648<br /> | |||
</td> | |||
<td>(2<span style="font-size: 70%; vertical-align: super;">2</span>*17)/67<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<th colspan="5">71-limit (incomplete)<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/71_70">71/70</a><br /> | |||
</td> | |||
<td>24.557<br /> | |||
</td> | |||
<td>71/(2*5*7)<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/72_71">72/71</a><br /> | |||
</td> | |||
<td>24.213<br /> | |||
</td> | |||
<td>(2<span style="font-size: 70%; vertical-align: super;">3</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>)/71<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<th colspan="5">73-limit (incomplete)<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/73_72">73/72</a><br /> | |||
</td> | |||
<td>23.879<br /> | |||
</td> | |||
<td>73/(2<span style="font-size: 70%; vertical-align: super;">3</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>)<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/74_73">74/73</a><br /> | |||
</td> | |||
<td>23.555<br /> | |||
</td> | |||
<td>(2*37)/73<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<th colspan="5">79-limit (incomplete)<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/79_78">79/78</a><br /> | |||
</td> | |||
<td>22.054<br /> | |||
</td> | |||
<td>79/(2*3*13)<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/80_79">80/79</a><br /> | ||
</td> | |||
<td>21.777<br /> | |||
</td> | </td> | ||
<td> | <td>(2<span style="font-size: 70%; vertical-align: super;">4</span>*5)/79<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 2,026: | Line 2,463: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<th colspan=" | <th colspan="5">83-limit (incomplete)<br /> | ||
</th> | </th> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/83_82">83/82</a><br /> | ||
</td> | |||
<td>20.985<br /> | |||
</td> | </td> | ||
<td> | <td>83/(2*41)<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 2,040: | Line 2,479: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/84_83">84/83</a><br /> | ||
</td> | |||
<td>20.734<br /> | |||
</td> | </td> | ||
<td> | <td>(2<span style="font-size: 70%; vertical-align: super;">2</span>*3*7)/83<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 2,050: | Line 2,491: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<th colspan=" | <th colspan="5">89-limit (incomplete)<br /> | ||
</th> | </th> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/89_88">89/88</a><br /> | ||
</td> | </td> | ||
<td> | <td>19.562<br /> | ||
</td> | </td> | ||
<td> | <td>89/(2<span style="font-size: 70%; vertical-align: super;">3</span>*11)<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/90_89">90/89</a><br /> | |||
<td><a class="wiki_link" href="/ | |||
</td> | </td> | ||
<td> | <td>19.344<br /> | ||
</td> | </td> | ||
<td> | <td>(2*3<span style="font-size: 70%; vertical-align: super;">2</span>*5)/89<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 2,098: | Line 2,519: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<th colspan=" | <th colspan="5">97-limit (incomplete)<br /> | ||
</th> | </th> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/97_96">97/96</a><br /> | ||
</td> | </td> | ||
<td> | <td>17.940<br /> | ||
</td> | </td> | ||
<td> | <td>97/(2<span style="font-size: 70%; vertical-align: super;">5</span>*3)<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 2,122: | Line 2,535: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/98_97">98/97</a><br /> | |||
<td><a class="wiki_link" href="/ | |||
</td> | </td> | ||
<td>17. | <td>17.756<br /> | ||
</td> | </td> | ||
<td> | <td>(2*7<span style="font-size: 70%; vertical-align: super;">2</span>)/97<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 2,146: | Line 2,547: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<th colspan=" | <th colspan="5">101-limit (incomplete)<br /> | ||
</th> | </th> | ||
</tr> | </tr> | ||
| Line 2,154: | Line 2,555: | ||
<td>17.226<br /> | <td>17.226<br /> | ||
</td> | </td> | ||
<td>101/(2<span style=" | <td>101/(2<span style="font-size: 70%; vertical-align: super;">2</span>*5<span style="font-size: 70%; vertical-align: super;">2</span>)<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 2,160: | Line 2,563: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>102/101<br /> | <td><a class="wiki_link" href="/102_101">102/101</a><br /> | ||
</td> | </td> | ||
<td>17.057<br /> | <td>17.057<br /> | ||
</td> | </td> | ||
<td>(2*3*17)/101<br /> | <td>(2*3*17)/101<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||