30edo: Difference between revisions
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Wikispaces>JosephRuhf **Imported revision 545667830 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 597600064 - Original comment: ** |
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| 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:JosephRuhf|JosephRuhf]] and made on <tt> | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-31 18:46:03 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>597600064</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> | ||
| Line 15: | Line 15: | ||
=Commas= | =Commas= | ||
30 EDO tempers out the following commas. (Note: This assumes the val < 30 48 70 84 104 111 | .) | 30 EDO tempers out the following commas. (Note: This assumes the val < [[tel:30 48 70 84 104 111|30 48 70 84 104 111]] | .) | ||
||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 || | ||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 || | ||
||= 256/243 ||< | 8 -5 > ||> 90.22 ||= Limma ||= Pythagorean Minor 2nd ||= || | ||= 256/243 ||< | 8 -5 > ||> 90.22 ||= Limma ||= Pythagorean Minor 2nd ||= || | ||
| Line 30: | Line 30: | ||
||= 1029/1024 ||< | -10 1 0 3 > ||> 8.43 ||= Gamelisma ||= ||= || | ||= 1029/1024 ||< | -10 1 0 3 > ||> 8.43 ||= Gamelisma ||= ||= || | ||
||= 6144/6125 ||< | 11 1 -3 -2 > ||> 5.36 ||= Porwell ||= ||= || | ||= 6144/6125 ||< | 11 1 -3 -2 > ||> 5.36 ||= Porwell ||= ||= || | ||
||= 250047/250000 ||< | -4 6 -6 3 > ||> 0.33 ||= Landscape Comma ||= ||= || | ||= [[tel:250047/250000|250047/250000]] ||< | -4 6 -6 3 > ||> 0.33 ||= Landscape Comma ||= ||= || | ||
||= 100/99 ||< | 2 -2 2 0 -1 > ||> 17.40 ||= Ptolemisma ||= ||= || | ||= 100/99 ||< | 2 -2 2 0 -1 > ||> 17.40 ||= Ptolemisma ||= ||= || | ||
||= 121/120 ||< | -3 -1 -1 0 2 > ||> 14.37 ||= Biyatisma ||= ||= || | ||= 121/120 ||< | -3 -1 -1 0 2 > ||> 14.37 ||= Biyatisma ||= ||= || | ||
| Line 41: | Line 41: | ||
==Intervals== | ==Intervals== | ||
|| **Step** || **Size in Cents** | || **Step** || **Size in Cents coarse/fine** | ||
**DMS** || | **DMS** || | ||
|| 0 || 0 || | || 0 || 0 || | ||
|| 1 || 40 | || 1 || 40, 48 | ||
12° || | 12° || | ||
|| 2 || 80 | || 2 || 80, 96 | ||
24° || | 24° || | ||
|| 3 || 120 | || 3 || 120, 144 | ||
36° || | 36° || | ||
|| 4 || 160 | || 4 || 160, 192 | ||
48° || | 48° || | ||
|| 5 || 200 | || 5 || 200, 240 | ||
60° || | 60° || | ||
|| 6 || 240 | || 6 || 240, 288 | ||
72° || | 72° || | ||
|| 7 || 280 | || 7 || 280, 336 | ||
84° || | 84° || | ||
|| 8 || 320 | || 8 || 320, 384 | ||
96° || | 96° || | ||
|| 9 || 360 | || 9 || 360, 432 | ||
108° || | 108° || | ||
|| 10 || 400 | || 10 || 400, 480 | ||
120° || | 120° || | ||
|| 11 || 440 | || 11 || 440, 528 | ||
132° || | 132° || | ||
|| 12 || 480 | || 12 || 480, 576 | ||
144° || | 144° || | ||
|| 13 || 520 | || 13 || 520, 624 | ||
156° || | 156° || | ||
|| 14 || 560 | || 14 || 560, 672 | ||
168° || | 168° || | ||
|| 15 || 600 | || 15 || 600, 720 | ||
180° || | 180° || | ||
|| 16 || 640 | || 16 || 640, 768 | ||
192° || | 192° || | ||
|| 17 || 680 | || 17 || 680, 816 | ||
204° || | 204° || | ||
|| 18 || 720 | || 18 || 720, 864 | ||
216° || | 216° || | ||
|| 19 || 760 | || 19 || 760, 912 | ||
228° || | 228° || | ||
|| 20 || 800 | || 20 || 800, 960 | ||
240° || | 240° || | ||
|| 21 || 840 | || 21 || 840, 1008 | ||
252° || | 252° || | ||
|| 22 || 880 | || 22 || 880, 1056 | ||
264° || | 264° || | ||
|| 23 || 920 | || 23 || 920, 1104 | ||
276° || | 276° || | ||
|| 24 || 960 | || 24 || 960, 1152 | ||
288° || | 288° || | ||
|| 25 || 1000 | || 25 || 1000, 1200 | ||
300° || | 300° || | ||
|| 26 || 1040 | || 26 || 1040, 1248 | ||
312° || | 312° || | ||
|| 27 || 1080 | || 27 || 1080, 1296 | ||
324° || | 324° || | ||
|| 28 || 1120 | || 28 || 1120, 1344 | ||
336° || | 336° || | ||
|| 29 || 1160 | || 29 || 1160, 1392 | ||
348° || | 348° || | ||
| Line 116: | Line 116: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Commas"></a><!-- ws:end:WikiTextHeadingRule:0 -->Commas</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Commas"></a><!-- ws:end:WikiTextHeadingRule:0 -->Commas</h1> | ||
30 EDO tempers out the following commas. (Note: This assumes the val &lt; 30 48 70 84 104 111 | .)<br /> | 30 EDO tempers out the following commas. (Note: This assumes the val &lt; <a class="wiki_link" href="http://tel.wikispaces.com/30%2048%2070%2084%20104%20111">30 48 70 84 104 111</a> | .)<br /> | ||
| Line 317: | Line 317: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;">250047/250000<br /> | <td style="text-align: center;">[[tel:250047/250000|250047/250000]]<br /> | ||
</td> | </td> | ||
<td style="text-align: left;">| -4 6 -6 3 &gt;<br /> | <td style="text-align: left;">| -4 6 -6 3 &gt;<br /> | ||
| Line 452: | Line 452: | ||
<td><strong>Step</strong><br /> | <td><strong>Step</strong><br /> | ||
</td> | </td> | ||
<td><strong>Size in Cents</strong><br /> | <td><strong>Size in Cents coarse/fine</strong><br /> | ||
<strong>DMS</strong><br /> | <strong>DMS</strong><br /> | ||
</td> | </td> | ||
| Line 465: | Line 465: | ||
<td>1<br /> | <td>1<br /> | ||
</td> | </td> | ||
<td>40 <br /> | <td>40, 48<br /> | ||
12°<br /> | 12°<br /> | ||
</td> | </td> | ||
| Line 472: | Line 472: | ||
<td>2<br /> | <td>2<br /> | ||
</td> | </td> | ||
<td>80 <br /> | <td>80, 96<br /> | ||
24°<br /> | 24°<br /> | ||
</td> | </td> | ||
| Line 479: | Line 479: | ||
<td>3<br /> | <td>3<br /> | ||
</td> | </td> | ||
<td>120<br /> | <td>120, 144<br /> | ||
36°<br /> | 36°<br /> | ||
</td> | </td> | ||
| Line 486: | Line 486: | ||
<td>4<br /> | <td>4<br /> | ||
</td> | </td> | ||
<td>160<br /> | <td>160, 192<br /> | ||
48°<br /> | 48°<br /> | ||
</td> | </td> | ||
| Line 493: | Line 493: | ||
<td>5<br /> | <td>5<br /> | ||
</td> | </td> | ||
<td>200<br /> | <td>200, 240<br /> | ||
60°<br /> | 60°<br /> | ||
</td> | </td> | ||
| Line 500: | Line 500: | ||
<td>6<br /> | <td>6<br /> | ||
</td> | </td> | ||
<td>240<br /> | <td>240, 288<br /> | ||
72°<br /> | 72°<br /> | ||
</td> | </td> | ||
| Line 507: | Line 507: | ||
<td>7<br /> | <td>7<br /> | ||
</td> | </td> | ||
<td>280<br /> | <td>280, 336<br /> | ||
84°<br /> | 84°<br /> | ||
</td> | </td> | ||
| Line 514: | Line 514: | ||
<td>8<br /> | <td>8<br /> | ||
</td> | </td> | ||
<td>320<br /> | <td>320, 384<br /> | ||
96°<br /> | 96°<br /> | ||
</td> | </td> | ||
| Line 521: | Line 521: | ||
<td>9<br /> | <td>9<br /> | ||
</td> | </td> | ||
<td>360<br /> | <td>360, 432<br /> | ||
108°<br /> | 108°<br /> | ||
</td> | </td> | ||
| Line 528: | Line 528: | ||
<td>10<br /> | <td>10<br /> | ||
</td> | </td> | ||
<td>400<br /> | <td>400, 480<br /> | ||
120°<br /> | 120°<br /> | ||
</td> | </td> | ||
| Line 535: | Line 535: | ||
<td>11<br /> | <td>11<br /> | ||
</td> | </td> | ||
<td>440<br /> | <td>440, 528<br /> | ||
132°<br /> | 132°<br /> | ||
</td> | </td> | ||
| Line 542: | Line 542: | ||
<td>12<br /> | <td>12<br /> | ||
</td> | </td> | ||
<td>480<br /> | <td>480, 576<br /> | ||
144°<br /> | 144°<br /> | ||
</td> | </td> | ||
| Line 549: | Line 549: | ||
<td>13<br /> | <td>13<br /> | ||
</td> | </td> | ||
<td>520<br /> | <td>520, 624<br /> | ||
156°<br /> | 156°<br /> | ||
</td> | </td> | ||
| Line 556: | Line 556: | ||
<td>14<br /> | <td>14<br /> | ||
</td> | </td> | ||
<td>560<br /> | <td>560, 672<br /> | ||
168°<br /> | 168°<br /> | ||
</td> | </td> | ||
| Line 563: | Line 563: | ||
<td>15<br /> | <td>15<br /> | ||
</td> | </td> | ||
<td>600<br /> | <td>600, 720<br /> | ||
180°<br /> | 180°<br /> | ||
</td> | </td> | ||
| Line 570: | Line 570: | ||
<td>16<br /> | <td>16<br /> | ||
</td> | </td> | ||
<td>640<br /> | <td>640, 768<br /> | ||
192°<br /> | 192°<br /> | ||
</td> | </td> | ||
| Line 577: | Line 577: | ||
<td>17<br /> | <td>17<br /> | ||
</td> | </td> | ||
<td>680<br /> | <td>680, 816<br /> | ||
204°<br /> | 204°<br /> | ||
</td> | </td> | ||
| Line 584: | Line 584: | ||
<td>18<br /> | <td>18<br /> | ||
</td> | </td> | ||
<td>720<br /> | <td>720, 864<br /> | ||
216°<br /> | 216°<br /> | ||
</td> | </td> | ||
| Line 591: | Line 591: | ||
<td>19<br /> | <td>19<br /> | ||
</td> | </td> | ||
<td>760<br /> | <td>760, 912<br /> | ||
228°<br /> | 228°<br /> | ||
</td> | </td> | ||
| Line 598: | Line 598: | ||
<td>20<br /> | <td>20<br /> | ||
</td> | </td> | ||
<td>800<br /> | <td>800, 960<br /> | ||
240°<br /> | 240°<br /> | ||
</td> | </td> | ||
| Line 605: | Line 605: | ||
<td>21<br /> | <td>21<br /> | ||
</td> | </td> | ||
<td>840<br /> | <td>840, 1008<br /> | ||
252°<br /> | 252°<br /> | ||
</td> | </td> | ||
| Line 612: | Line 612: | ||
<td>22<br /> | <td>22<br /> | ||
</td> | </td> | ||
<td>880<br /> | <td>880, 1056<br /> | ||
264°<br /> | 264°<br /> | ||
</td> | </td> | ||
| Line 619: | Line 619: | ||
<td>23<br /> | <td>23<br /> | ||
</td> | </td> | ||
<td>920<br /> | <td>920, 1104<br /> | ||
276°<br /> | 276°<br /> | ||
</td> | </td> | ||
| Line 626: | Line 626: | ||
<td>24<br /> | <td>24<br /> | ||
</td> | </td> | ||
<td>960<br /> | <td>960, 1152<br /> | ||
288°<br /> | 288°<br /> | ||
</td> | </td> | ||
| Line 633: | Line 633: | ||
<td>25<br /> | <td>25<br /> | ||
</td> | </td> | ||
<td>1000<br /> | <td>1000, 1200<br /> | ||
300°<br /> | 300°<br /> | ||
</td> | </td> | ||
| Line 640: | Line 640: | ||
<td>26<br /> | <td>26<br /> | ||
</td> | </td> | ||
<td>1040<br /> | <td>1040, 1248<br /> | ||
312°<br /> | 312°<br /> | ||
</td> | </td> | ||
| Line 647: | Line 647: | ||
<td>27<br /> | <td>27<br /> | ||
</td> | </td> | ||
<td>1080<br /> | <td>1080, 1296<br /> | ||
324°<br /> | 324°<br /> | ||
</td> | </td> | ||
| Line 654: | Line 654: | ||
<td>28<br /> | <td>28<br /> | ||
</td> | </td> | ||
<td>1120<br /> | <td>1120, 1344<br /> | ||
336°<br /> | 336°<br /> | ||
</td> | </td> | ||
| Line 661: | Line 661: | ||
<td>29<br /> | <td>29<br /> | ||
</td> | </td> | ||
<td>1160<br /> | <td>1160, 1392<br /> | ||
348°<br /> | 348°<br /> | ||
</td> | </td> | ||
Revision as of 18:46, 31 October 2016
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author JosephRuhf and made on 2016-10-31 18:46:03 UTC.
- The original revision id was 597600064.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
The //30 equal division// divides the octave into 30 equal steps of precisely 40 cents each. Its [[patent val]] is a doubled version of the patent val for [[15edo]] through the 11-limit, so 30 can be viewed as a [[contorted]] version of 15. In the 13-limit it supplies the optimal patent val for [[Trienstonic clan#Quindecic|quindecic temperament]]. However, 5\30 is 200 cents, which is a good (and familiar) approximation for 9/8, and hence 30 can be viewed inconsistently, as having a 9' at 95\30 as well as a 9 at 96\30. Instead of the 18\30 fifth of 720 cents, 30 also makes available a 17\30 fifth of 680 cents. This is an ideal tuning for pelogic (5-limit mavila), which tempers out 135/128. When 30 is used for pelogic, 5\30 can again be used inconsistently as a 9/8. Below is a plot of the Z function around 30: [[image:plot30.png]] =Commas= 30 EDO tempers out the following commas. (Note: This assumes the val < [[tel:30 48 70 84 104 111|30 48 70 84 104 111]] | .) ||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 || ||= 256/243 ||< | 8 -5 > ||> 90.22 ||= Limma ||= Pythagorean Minor 2nd ||= || ||= 250/243 ||< | 1 -5 3 > ||> 49.17 ||= Maximal Diesis ||= Porcupine Comma ||= || ||= 128/125 ||< | 7 0 -3 > ||> 41.06 ||= Diesis ||= Augmented Comma ||= || ||= 15625/15552 ||< | -6 -5 6 > ||> 8.11 ||= Kleisma ||= Semicomma Majeur ||= || ||= 1029/1000 ||< | -3 1 -3 3 > ||> 49.49 ||= Keega ||= ||= || ||= 49/48 ||< | -4 -1 0 2 > ||> 35.70 ||= Slendro Diesis ||= ||= || ||= 64/63 ||< | 6 -2 0 -1 > ||> 27.26 ||= Septimal Comma ||= Archytas' Comma ||= Leipziger Komma || ||= 64827/64000 ||< | -9 3 -3 4 > ||> 22.23 ||= Squalentine ||= ||= || ||= 875/864 ||< | -5 -3 3 1 > ||> 21.90 ||= Keema ||= ||= || ||= 126/125 ||< | 1 2 -3 1 > ||> 13.79 ||= Septimal Semicomma ||= Starling Comma ||= || ||= 4000/3969 ||< | 5 -4 3 -2 > ||> 13.47 ||= Octagar ||= ||= || ||= 1029/1024 ||< | -10 1 0 3 > ||> 8.43 ||= Gamelisma ||= ||= || ||= 6144/6125 ||< | 11 1 -3 -2 > ||> 5.36 ||= Porwell ||= ||= || ||= [[tel:250047/250000|250047/250000]] ||< | -4 6 -6 3 > ||> 0.33 ||= Landscape Comma ||= ||= || ||= 100/99 ||< | 2 -2 2 0 -1 > ||> 17.40 ||= Ptolemisma ||= ||= || ||= 121/120 ||< | -3 -1 -1 0 2 > ||> 14.37 ||= Biyatisma ||= ||= || ||= 176/175 ||< | 4 0 -2 -1 1 > ||> 9.86 ||= Valinorsma ||= ||= || ||= 65536/65219 ||< | 16 0 0 -2 -3 > ||> 8.39 ||= Orgonisma ||= ||= || ||= 385/384 ||< | -7 -1 1 1 1 > ||> 4.50 ||= Keenanisma ||= ||= || ||= 441/440 ||< | -3 2 -1 2 -1 > ||> 3.93 ||= Werckisma ||= ||= || ||= 4000/3993 ||< | 5 -1 3 0 -3 > ||> 3.03 ||= Wizardharry ||= ||= || ||= 3025/3024 ||< | -4 -3 2 -1 2 > ||> 0.57 ||= Lehmerisma ||= ||= || ==Intervals== || **Step** || **Size in Cents coarse/fine** **DMS** || || 0 || 0 || || 1 || 40, 48 12° || || 2 || 80, 96 24° || || 3 || 120, 144 36° || || 4 || 160, 192 48° || || 5 || 200, 240 60° || || 6 || 240, 288 72° || || 7 || 280, 336 84° || || 8 || 320, 384 96° || || 9 || 360, 432 108° || || 10 || 400, 480 120° || || 11 || 440, 528 132° || || 12 || 480, 576 144° || || 13 || 520, 624 156° || || 14 || 560, 672 168° || || 15 || 600, 720 180° || || 16 || 640, 768 192° || || 17 || 680, 816 204° || || 18 || 720, 864 216° || || 19 || 760, 912 228° || || 20 || 800, 960 240° || || 21 || 840, 1008 252° || || 22 || 880, 1056 264° || || 23 || 920, 1104 276° || || 24 || 960, 1152 288° || || 25 || 1000, 1200 300° || || 26 || 1040, 1248 312° || || 27 || 1080, 1296 324° || || 28 || 1120, 1344 336° || || 29 || 1160, 1392 348° || =Music= [[@http://spectropolrecords.bandcamp.com/track/todd-harrop-fifteen-short-pieces|Fifteen Short Pieces]] by <span class="wiki_link_ext">Todd Harrop</span>
Original HTML content:
<html><head><title>30edo</title></head><body>The <em>30 equal division</em> divides the octave into 30 equal steps of precisely 40 cents each. Its <a class="wiki_link" href="/patent%20val">patent val</a> is a doubled version of the patent val for <a class="wiki_link" href="/15edo">15edo</a> through the 11-limit, so 30 can be viewed as a <a class="wiki_link" href="/contorted">contorted</a> version of 15. In the 13-limit it supplies the optimal patent val for <a class="wiki_link" href="/Trienstonic%20clan#Quindecic">quindecic temperament</a>.<br />
<br />
However, 5\30 is 200 cents, which is a good (and familiar) approximation for 9/8, and hence 30 can be viewed inconsistently, as having a 9' at 95\30 as well as a 9 at 96\30. Instead of the 18\30 fifth of 720 cents, 30 also makes available a 17\30 fifth of 680 cents. This is an ideal tuning for pelogic (5-limit mavila), which tempers out 135/128. When 30 is used for pelogic, 5\30 can again be used inconsistently as a 9/8.<br />
<br />
Below is a plot of the Z function around 30:<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:518:<img src="/file/view/plot30.png/220060356/plot30.png" alt="" title="" /> --><img src="/file/view/plot30.png/220060356/plot30.png" alt="plot30.png" title="plot30.png" /><!-- ws:end:WikiTextLocalImageRule:518 --><br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Commas"></a><!-- ws:end:WikiTextHeadingRule:0 -->Commas</h1>
30 EDO tempers out the following commas. (Note: This assumes the val < <a class="wiki_link" href="http://tel.wikispaces.com/30%2048%2070%2084%20104%20111">30 48 70 84 104 111</a> | .)<br />
<table class="wiki_table">
<tr>
<th>Comma<br />
</th>
<th>Monzo<br />
</th>
<th>Value (Cents)<br />
</th>
<th>Name 1<br />
</th>
<th>Name 2<br />
</th>
<th>Name 3<br />
</th>
</tr>
<tr>
<td style="text-align: center;">256/243<br />
</td>
<td style="text-align: left;">| 8 -5 ><br />
</td>
<td style="text-align: right;">90.22<br />
</td>
<td style="text-align: center;">Limma<br />
</td>
<td style="text-align: center;">Pythagorean Minor 2nd<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">250/243<br />
</td>
<td style="text-align: left;">| 1 -5 3 ><br />
</td>
<td style="text-align: right;">49.17<br />
</td>
<td style="text-align: center;">Maximal Diesis<br />
</td>
<td style="text-align: center;">Porcupine Comma<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">128/125<br />
</td>
<td style="text-align: left;">| 7 0 -3 ><br />
</td>
<td style="text-align: right;">41.06<br />
</td>
<td style="text-align: center;">Diesis<br />
</td>
<td style="text-align: center;">Augmented Comma<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">15625/15552<br />
</td>
<td style="text-align: left;">| -6 -5 6 ><br />
</td>
<td style="text-align: right;">8.11<br />
</td>
<td style="text-align: center;">Kleisma<br />
</td>
<td style="text-align: center;">Semicomma Majeur<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">1029/1000<br />
</td>
<td style="text-align: left;">| -3 1 -3 3 ><br />
</td>
<td style="text-align: right;">49.49<br />
</td>
<td style="text-align: center;">Keega<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">49/48<br />
</td>
<td style="text-align: left;">| -4 -1 0 2 ><br />
</td>
<td style="text-align: right;">35.70<br />
</td>
<td style="text-align: center;">Slendro Diesis<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">64/63<br />
</td>
<td style="text-align: left;">| 6 -2 0 -1 ><br />
</td>
<td style="text-align: right;">27.26<br />
</td>
<td style="text-align: center;">Septimal Comma<br />
</td>
<td style="text-align: center;">Archytas' Comma<br />
</td>
<td style="text-align: center;">Leipziger Komma<br />
</td>
</tr>
<tr>
<td style="text-align: center;">64827/64000<br />
</td>
<td style="text-align: left;">| -9 3 -3 4 ><br />
</td>
<td style="text-align: right;">22.23<br />
</td>
<td style="text-align: center;">Squalentine<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">875/864<br />
</td>
<td style="text-align: left;">| -5 -3 3 1 ><br />
</td>
<td style="text-align: right;">21.90<br />
</td>
<td style="text-align: center;">Keema<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">126/125<br />
</td>
<td style="text-align: left;">| 1 2 -3 1 ><br />
</td>
<td style="text-align: right;">13.79<br />
</td>
<td style="text-align: center;">Septimal Semicomma<br />
</td>
<td style="text-align: center;">Starling Comma<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">4000/3969<br />
</td>
<td style="text-align: left;">| 5 -4 3 -2 ><br />
</td>
<td style="text-align: right;">13.47<br />
</td>
<td style="text-align: center;">Octagar<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">1029/1024<br />
</td>
<td style="text-align: left;">| -10 1 0 3 ><br />
</td>
<td style="text-align: right;">8.43<br />
</td>
<td style="text-align: center;">Gamelisma<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">6144/6125<br />
</td>
<td style="text-align: left;">| 11 1 -3 -2 ><br />
</td>
<td style="text-align: right;">5.36<br />
</td>
<td style="text-align: center;">Porwell<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">[[tel:250047/250000|250047/250000]]<br />
</td>
<td style="text-align: left;">| -4 6 -6 3 ><br />
</td>
<td style="text-align: right;">0.33<br />
</td>
<td style="text-align: center;">Landscape Comma<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">100/99<br />
</td>
<td style="text-align: left;">| 2 -2 2 0 -1 ><br />
</td>
<td style="text-align: right;">17.40<br />
</td>
<td style="text-align: center;">Ptolemisma<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">121/120<br />
</td>
<td style="text-align: left;">| -3 -1 -1 0 2 ><br />
</td>
<td style="text-align: right;">14.37<br />
</td>
<td style="text-align: center;">Biyatisma<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">176/175<br />
</td>
<td style="text-align: left;">| 4 0 -2 -1 1 ><br />
</td>
<td style="text-align: right;">9.86<br />
</td>
<td style="text-align: center;">Valinorsma<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">65536/65219<br />
</td>
<td style="text-align: left;">| 16 0 0 -2 -3 ><br />
</td>
<td style="text-align: right;">8.39<br />
</td>
<td style="text-align: center;">Orgonisma<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">385/384<br />
</td>
<td style="text-align: left;">| -7 -1 1 1 1 ><br />
</td>
<td style="text-align: right;">4.50<br />
</td>
<td style="text-align: center;">Keenanisma<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">441/440<br />
</td>
<td style="text-align: left;">| -3 2 -1 2 -1 ><br />
</td>
<td style="text-align: right;">3.93<br />
</td>
<td style="text-align: center;">Werckisma<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">4000/3993<br />
</td>
<td style="text-align: left;">| 5 -1 3 0 -3 ><br />
</td>
<td style="text-align: right;">3.03<br />
</td>
<td style="text-align: center;">Wizardharry<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td style="text-align: center;">3025/3024<br />
</td>
<td style="text-align: left;">| -4 -3 2 -1 2 ><br />
</td>
<td style="text-align: right;">0.57<br />
</td>
<td style="text-align: center;">Lehmerisma<br />
</td>
<td style="text-align: center;"><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="Commas-Intervals"></a><!-- ws:end:WikiTextHeadingRule:2 -->Intervals</h2>
<table class="wiki_table">
<tr>
<td><strong>Step</strong><br />
</td>
<td><strong>Size in Cents coarse/fine</strong><br />
<strong>DMS</strong><br />
</td>
</tr>
<tr>
<td>0<br />
</td>
<td>0<br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>40, 48<br />
12°<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>80, 96<br />
24°<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td>120, 144<br />
36°<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td>160, 192<br />
48°<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>200, 240<br />
60°<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td>240, 288<br />
72°<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td>280, 336<br />
84°<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td>320, 384<br />
96°<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td>360, 432<br />
108°<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td>400, 480<br />
120°<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td>440, 528<br />
132°<br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td>480, 576<br />
144°<br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td>520, 624<br />
156°<br />
</td>
</tr>
<tr>
<td>14<br />
</td>
<td>560, 672<br />
168°<br />
</td>
</tr>
<tr>
<td>15<br />
</td>
<td>600, 720<br />
180°<br />
</td>
</tr>
<tr>
<td>16<br />
</td>
<td>640, 768<br />
192°<br />
</td>
</tr>
<tr>
<td>17<br />
</td>
<td>680, 816<br />
204°<br />
</td>
</tr>
<tr>
<td>18<br />
</td>
<td>720, 864<br />
216°<br />
</td>
</tr>
<tr>
<td>19<br />
</td>
<td>760, 912<br />
228°<br />
</td>
</tr>
<tr>
<td>20<br />
</td>
<td>800, 960<br />
240°<br />
</td>
</tr>
<tr>
<td>21<br />
</td>
<td>840, 1008<br />
252°<br />
</td>
</tr>
<tr>
<td>22<br />
</td>
<td>880, 1056<br />
264°<br />
</td>
</tr>
<tr>
<td>23<br />
</td>
<td>920, 1104<br />
276°<br />
</td>
</tr>
<tr>
<td>24<br />
</td>
<td>960, 1152<br />
288°<br />
</td>
</tr>
<tr>
<td>25<br />
</td>
<td>1000, 1200<br />
300°<br />
</td>
</tr>
<tr>
<td>26<br />
</td>
<td>1040, 1248<br />
312°<br />
</td>
</tr>
<tr>
<td>27<br />
</td>
<td>1080, 1296<br />
324°<br />
</td>
</tr>
<tr>
<td>28<br />
</td>
<td>1120, 1344<br />
336°<br />
</td>
</tr>
<tr>
<td>29<br />
</td>
<td>1160, 1392<br />
348°<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:4 -->Music</h1>
<br />
<a class="wiki_link_ext" href="http://spectropolrecords.bandcamp.com/track/todd-harrop-fifteen-short-pieces" rel="nofollow" target="_blank">Fifteen Short Pieces</a> by <span class="wiki_link_ext">Todd Harrop</span></body></html>