Table of intervals in temperaments
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author keenanpepper and made on 2013-01-23 06:56:16 UTC.
- The original revision id was 400699044.
- 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:
||~ ||~ P1 ||~ P5 ||~ M2 ||~ M6 ||~ M3 ||~ M7 ||~ A4 ||~ A1 ||~ A5 ||~ A2 ||~ A6 ||~ A3 ||~ A7 ||~ (d2) ||~ AA4 ||~ AA1 ||~ AA5 ||~ AA2 ||~ AA6 ||~ AA3 ||~ AA7-P8 ||~ AAA4 ||~ ||~ ||~ ||~ ||~ ||~ ||~ || || Cassandra, 11-limit || 1/1 || 3/2 || 9/8 || || 14/11 || || 10/7 || || 8/5 || 6/5 || 9/5 || || || || || 8/7 || 12/7 || 9/7 || || 16/11 || 12/11 || 18/11 || || || || || || || || || Dominant, 7-limit || 1/1, 36/35, 64/63, 81/80 || 3/2 || 8/7, 9/8, 10/9 || 5/3, 12/7 || 5/4, 9/7 || 15/8, 27/14 || 10/7 || 15/14, 25/24 || 25/16, 48/25 || 25/21 || 25/14 || 75/56 || 100/49 || 49/50 || || || || || || || || || || || || || || || || || Father, 5-limit || 1/1, 16/15 || 3/2, 8/5 || 6/5, 9/8 || 9/5, 27/16 || 27/20, 36/25 || 54/25, 81/40 || || || || || || || || || || || || || || || || || || || || || || || || || Flattone, 7-limit || 1/1, 81/80, 525/512 || 3/2 || 9/8, 10/9 || 5/3 || 5/4 || 15/8 || 25/18, 45/32 || 25/24, 36/35, 64/63 || 25/16, 32/21 || 8/7 || 12/7 || 9/7 || 27/14 || 21/20, 28/27 || || || || || || || || || || || || || || || || || Garibaldi, 7-limit || 1/1 || 3/2 || 9/8 || || || || || || 8/5 || 6/5 || 9/5 || || || || || 8/7 || 12/7 || 9/7 || || || || || || || || || || || || || Garibaldi, 11-limit || 1/1 || 3/2 || 9/8 || || || || || || 8/5 || 6/5 || 9/5 || || || || || 8/7 || 12/7 || 9/7 || || || || || || || || || || || || || Helmholtz, 5-limit || 1/1 || 3/2 || 9/8 || 27/16 || 81/64 || 243/128, 256/135 || 64/45 || 16/15 || 8/5 || 6/5 || 9/5 || 27/20 || 81/40 || 80/81, 2025/2048 || || || || || || || || || || || || || || || || || Mavila, 5-limit || 1/1, 135/128 || 3/2 || 9/8, 16/15 || 8/5, 27/16 || 6/5 || 9/5 || 27/20 || || || || || || || || || || || || || || || || || || || || || || || || Meanenneadecal, 11-limit || 1/1, 45/44, 56/55, 81/80 || 3/2 || 9/8, 10/9, 11/10 || 5/3 || 5/4, 11/9, 14/11 || 11/6, 15/8 || 7/5, 11/8 || 21/20, 25/24, 28/27, 33/32 || 14/9, 25/16 || || || || || || || || || || || || || || || || || || || || || || Meanpop, 11-limit || 1/1, 81/80, 126/125, 385/384 || 3/2 || 9/8, 10/9 || 5/3 || 5/4 || 16/8, 28/15 || 7/5 || 21/20, 25/24, 28/27 || 14/9, 25/16 || 7/6 || 7/4 || 21/16, 35/27 || 35/18, 49/25, 63/32, 64/33 || 33/32, 36/35, 50/49, 55/54 || 16/11, 35/24 || 12/11, 35/32 || 18/11, 49/30 || 27/22, 40/33 || 20/11 || 15/11 || 45/44, 49/48, 56/55, 100/99 || || || || || || || || || || Meantone, 5-limit || 1/1, 81/80 || 3/2 || 9/8, 10/9 || 5/3 || 5/4 || 15/8 || 25/18~45/32 || 25/24 || 25/16 || 75/64 || 125/72, 225/128 || 125/96 || 125/64 || 128/125 || || || || || || || || || || || || || || || || || Meantone, 7-limit || 1/1, 81/80, 126/125 || 3/2 || 9/8, 10/9 || 5/3 || 5/4 || 15/8, 28/15 || 7/5 || 25/24 || 14/9, 25/16 || 7/6 || 7/4 || 21/16 || 35/18, 49/25 || 36/35, 50/49 || || || || || || || || || || || || || || || || || Meantone, 11-limit || 1/1, 81/80, 99/98, 126/125 || 3/2 || 9/8, 10/9 || 5/3 || 5/4 || 15/8, 28/15 || 7/5 || 21/20, 25/24, 28/27 || 11/7, 14/9, 25/16 || 7/6 || 7/4 || 21/16 || 35/18, 49/25 || 36/35, 45/44, 50/49, 56/55, 64/63 || 22/15 || 11/10, 35/32 || 33/20, 44/27 || 11/9, 49/40 || 11/6 || 11/8 || 33/32, 49/48, 55/54 || || || || || || || || || || Nestoria, 2.3.5.19 || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || Pepperoni, 2.3.11/7.13/7 || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || Photia, 2.3.5.17.19 || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || Pythagorean || 1/1 || 3/2 || 9/8 || 27/16 || 81/64 || 243/128 || 729/512 || 2187/2048 || || || || || || 524288/531441 || || || || || || || || || || || || || || || || || Sharptone, 7-limit || 1/1, 21/20, 28/27 || 3/2, 10/7, 14/9 || 7/6, 9/8, 10/9 || 5/3, 7/4 || 5/4, 21/16 || 15/8, 25/14 || 25/18, 35/24 || 25/24, 35/32 || 25/16 || 75/64 || 125/72, 175/96 || 125/96 || 125/64 || 128/125 || || || || || || || || || || || || || || || || || Superpyth, 2.3.7 || 1/1, 64/63 || 3/2 || 8/7, 9/8 || 12/7 || 9/7 || 27/14 || || || || || || || || || || || || || || || || || || || || || || || || || Superpyth, 7-limit || 1/1 || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || Supra, 2.3.7.11 || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || Supraphon, 2.3.7.11.13 || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || Suprapyth, 11-limit || || || || || || || || || || || || || || || || || || || || || || || || || || || || || ||
Original HTML content:
<html><head><title>Epic Table 1</title></head><body>
<table class="wiki_table">
<tr>
<th><br />
</th>
<th>P1<br />
</th>
<th>P5<br />
</th>
<th>M2<br />
</th>
<th>M6<br />
</th>
<th>M3<br />
</th>
<th>M7<br />
</th>
<th>A4<br />
</th>
<th>A1<br />
</th>
<th>A5<br />
</th>
<th>A2<br />
</th>
<th>A6<br />
</th>
<th>A3<br />
</th>
<th>A7<br />
</th>
<th>(d2)<br />
</th>
<th>AA4<br />
</th>
<th>AA1<br />
</th>
<th>AA5<br />
</th>
<th>AA2<br />
</th>
<th>AA6<br />
</th>
<th>AA3<br />
</th>
<th>AA7-P8<br />
</th>
<th>AAA4<br />
</th>
<th><br />
</th>
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</th>
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</th>
<th><br />
</th>
<th><br />
</th>
<th><br />
</th>
<th><br />
</th>
</tr>
<tr>
<td>Cassandra, 11-limit<br />
</td>
<td>1/1<br />
</td>
<td>3/2<br />
</td>
<td>9/8<br />
</td>
<td><br />
</td>
<td>14/11<br />
</td>
<td><br />
</td>
<td>10/7<br />
</td>
<td><br />
</td>
<td>8/5<br />
</td>
<td>6/5<br />
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<td>9/5<br />
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<td>8/7<br />
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<td>12/7<br />
</td>
<td>9/7<br />
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<td><br />
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<td>16/11<br />
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<td>12/11<br />
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<td>18/11<br />
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</tr>
<tr>
<td>Dominant, 7-limit<br />
</td>
<td>1/1, 36/35, 64/63, 81/80<br />
</td>
<td>3/2<br />
</td>
<td>8/7, 9/8, 10/9<br />
</td>
<td>5/3, 12/7<br />
</td>
<td>5/4, 9/7<br />
</td>
<td>15/8, 27/14<br />
</td>
<td>10/7<br />
</td>
<td>15/14, 25/24<br />
</td>
<td>25/16, 48/25<br />
</td>
<td>25/21<br />
</td>
<td>25/14<br />
</td>
<td>75/56<br />
</td>
<td>100/49<br />
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<td>49/50<br />
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<tr>
<td>Father, 5-limit<br />
</td>
<td>1/1, 16/15<br />
</td>
<td>3/2, 8/5<br />
</td>
<td>6/5, 9/8<br />
</td>
<td>9/5, 27/16<br />
</td>
<td>27/20, 36/25<br />
</td>
<td>54/25, 81/40<br />
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<tr>
<td>Flattone, 7-limit<br />
</td>
<td>1/1, 81/80, 525/512<br />
</td>
<td>3/2<br />
</td>
<td>9/8, 10/9<br />
</td>
<td>5/3<br />
</td>
<td>5/4<br />
</td>
<td>15/8<br />
</td>
<td>25/18, 45/32<br />
</td>
<td>25/24, 36/35, 64/63<br />
</td>
<td>25/16, 32/21<br />
</td>
<td>8/7<br />
</td>
<td>12/7<br />
</td>
<td>9/7<br />
</td>
<td>27/14<br />
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<td>21/20, 28/27<br />
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<tr>
<td>Garibaldi, 7-limit<br />
</td>
<td>1/1<br />
</td>
<td>3/2<br />
</td>
<td>9/8<br />
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<td>8/5<br />
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<td>6/5<br />
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<td>9/5<br />
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<td>8/7<br />
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<td>12/7<br />
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<td>9/7<br />
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<tr>
<td>Garibaldi, 11-limit<br />
</td>
<td>1/1<br />
</td>
<td>3/2<br />
</td>
<td>9/8<br />
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<td>8/5<br />
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<td>6/5<br />
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<td>9/5<br />
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<td>8/7<br />
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<tr>
<td>Helmholtz, 5-limit<br />
</td>
<td>1/1<br />
</td>
<td>3/2<br />
</td>
<td>9/8<br />
</td>
<td>27/16<br />
</td>
<td>81/64<br />
</td>
<td>243/128, 256/135<br />
</td>
<td>64/45<br />
</td>
<td>16/15<br />
</td>
<td>8/5<br />
</td>
<td>6/5<br />
</td>
<td>9/5<br />
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<td>27/20<br />
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<td>81/40<br />
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<td>80/81, 2025/2048<br />
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<tr>
<td>Mavila, 5-limit<br />
</td>
<td>1/1, 135/128<br />
</td>
<td>3/2<br />
</td>
<td>9/8, 16/15<br />
</td>
<td>8/5, 27/16<br />
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<td>6/5<br />
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<td>9/5<br />
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<td>27/20<br />
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<tr>
<td>Meanenneadecal, 11-limit<br />
</td>
<td>1/1, 45/44, 56/55, 81/80<br />
</td>
<td>3/2<br />
</td>
<td>9/8, 10/9, 11/10<br />
</td>
<td>5/3<br />
</td>
<td>5/4, 11/9, 14/11<br />
</td>
<td>11/6, 15/8<br />
</td>
<td>7/5, 11/8<br />
</td>
<td>21/20, 25/24, 28/27, 33/32<br />
</td>
<td>14/9, 25/16<br />
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<td>Meanpop, 11-limit<br />
</td>
<td>1/1, 81/80, 126/125, 385/384<br />
</td>
<td>3/2<br />
</td>
<td>9/8, 10/9<br />
</td>
<td>5/3<br />
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<td>5/4<br />
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<td>16/8, 28/15<br />
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<td>7/5<br />
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<td>21/20, 25/24, 28/27<br />
</td>
<td>14/9, 25/16<br />
</td>
<td>7/6<br />
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<td>7/4<br />
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<td>21/16, 35/27<br />
</td>
<td>35/18, 49/25, 63/32, 64/33<br />
</td>
<td>33/32, 36/35, 50/49, 55/54<br />
</td>
<td>16/11, 35/24<br />
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<td>12/11, 35/32<br />
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<td>18/11, 49/30<br />
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<td>27/22, 40/33<br />
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<td>20/11<br />
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<td>15/11<br />
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<td>45/44, 49/48, 56/55, 100/99<br />
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<td>Meantone, 5-limit<br />
</td>
<td>1/1, 81/80<br />
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<td>3/2<br />
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<td>9/8, 10/9<br />
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<td>5/3<br />
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<td>5/4<br />
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<td>15/8<br />
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<td>25/18~45/32<br />
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<td>25/24<br />
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<td>25/16<br />
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<td>75/64<br />
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<td>125/72, 225/128<br />
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<td>125/96<br />
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<td>125/64<br />
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<td>128/125<br />
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<td>Meantone, 7-limit<br />
</td>
<td>1/1, 81/80, 126/125<br />
</td>
<td>3/2<br />
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<td>9/8, 10/9<br />
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<td>5/3<br />
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<td>5/4<br />
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<td>15/8, 28/15<br />
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<td>7/5<br />
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<td>25/24<br />
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<td>14/9, 25/16<br />
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<td>7/6<br />
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<td>7/4<br />
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<td>21/16<br />
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<td>35/18, 49/25<br />
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<td>36/35, 50/49<br />
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<td>Meantone, 11-limit<br />
</td>
<td>1/1, 81/80, 99/98, 126/125<br />
</td>
<td>3/2<br />
</td>
<td>9/8, 10/9<br />
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<td>5/3<br />
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<td>5/4<br />
</td>
<td>15/8, 28/15<br />
</td>
<td>7/5<br />
</td>
<td>21/20, 25/24, 28/27<br />
</td>
<td>11/7, 14/9, 25/16<br />
</td>
<td>7/6<br />
</td>
<td>7/4<br />
</td>
<td>21/16<br />
</td>
<td>35/18, 49/25<br />
</td>
<td>36/35, 45/44, 50/49, 56/55, 64/63<br />
</td>
<td>22/15<br />
</td>
<td>11/10, 35/32<br />
</td>
<td>33/20, 44/27<br />
</td>
<td>11/9, 49/40<br />
</td>
<td>11/6<br />
</td>
<td>11/8<br />
</td>
<td>33/32, 49/48, 55/54<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>Nestoria, 2.3.5.19<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>Pepperoni, 2.3.11/7.13/7<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>Photia, 2.3.5.17.19<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>Pythagorean<br />
</td>
<td>1/1<br />
</td>
<td>3/2<br />
</td>
<td>9/8<br />
</td>
<td>27/16<br />
</td>
<td>81/64<br />
</td>
<td>243/128<br />
</td>
<td>729/512<br />
</td>
<td>2187/2048<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>524288/531441<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>Sharptone, 7-limit<br />
</td>
<td>1/1, 21/20, 28/27<br />
</td>
<td>3/2, 10/7, 14/9<br />
</td>
<td>7/6, 9/8, 10/9<br />
</td>
<td>5/3, 7/4<br />
</td>
<td>5/4, 21/16<br />
</td>
<td>15/8, 25/14<br />
</td>
<td>25/18, 35/24<br />
</td>
<td>25/24, 35/32<br />
</td>
<td>25/16<br />
</td>
<td>75/64<br />
</td>
<td>125/72, 175/96<br />
</td>
<td>125/96<br />
</td>
<td>125/64<br />
</td>
<td>128/125<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>Superpyth, 2.3.7<br />
</td>
<td>1/1, 64/63<br />
</td>
<td>3/2<br />
</td>
<td>8/7, 9/8<br />
</td>
<td>12/7<br />
</td>
<td>9/7<br />
</td>
<td>27/14<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>Superpyth, 7-limit<br />
</td>
<td>1/1<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>Supra, 2.3.7.11<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>Supraphon, 2.3.7.11.13<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>Suprapyth, 11-limit<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
</table>
</body></html>