Table of intervals in temperaments: Difference between revisions
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CompactStar (talk | contribs) m CompactStar moved page Epic Table 1 to Table of intervals in temperaments: I don't think this title is perfect but better than whatever the hell "Epic Table 1" is. I'm assuming this is something very old |
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A table of the [[interval]]s available in some assorted [[regular temperament]]s. | |||
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[[Category: | [[Category:Tables]] | ||
[[Category:Regular temperament theory]] | |||
Latest revision as of 10:34, 4 December 2024
A table of the intervals available in some assorted regular temperaments.
| 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, 100/99, 225/224, 245/242 | 3/2 | 9/8 | 27/16 | 14/11 | 21/11, 40/21 | 10/7 | 15/14, 16/15 | 8/5 | 6/5 | 9/5, 20/11 | 15/11, 27/20 | 45/22, 81/40 | 45/44, 50/49, 56/55, 64/63, 81/80 | 32/21 | 8/7 | 12/7 | 9/7 | 27/14, 48/25 | 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, 125/63, 125/64 | 49/50, 126/125, 128/125 | |||||||||||||||
| 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, 40/21 | 21/20, 28/27 | 10/7 | ||||||||||||||
| Garibaldi, 7-limit | 1/1, 225/224, 3125/3087 | 3/2 | 9/8 | 27/16 | 63/50, 80/63, 81/64 | 40/21 | 10/7 | 15/14, 16/15 | 8/5 | 6/5 | 9/5 | 27/20 | 81/40 | 49/50, 63/64, 80/81, 125/126 | 32/21 | 8/7 | 12/7 | 9/7 | 27/14 | 36/35 | 27/25 | 80/49 | |||||||
| Garibaldi, 11-limit | 1/1, 225/224, 385/384, 540/539, 2200/2187 | 3/2 | 9/8 | 27/16 | 63/50, 80/63, 81/64 | 40/21 | 10/7 | 15/14, 16/15 | 8/5 | 6/5 | 9/5 | 27/20 | 55/27, 81/40 | 49/50, 54/55, 63/64, 80/81, 125/126 | 32/21 | 8/7 | 12/7 | 9/7 | 27/14 | 36/25 | 27/25 | 44/27 | 11/9 | 11/6 | 11/8 | ||||
| Helenus, 11-limit | |||||||||||||||||||||||||||||
| 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 | |||||||||||||||
| Leapday, 13-limit | 1/1, 91/90, 121/120, 169/168, 196/195 | 3/2 | 9/8 | 22/13, 27/16 | 14/11 | 21/11, 40/21 | 10/7, 13/9 | 13/12, 14/13, 15/14 | 13/8, 21/13 | 11/9 | 11/6, 20/11 | 11/8, 15/11 | 33/16, 45/22, 56/27, 80/39, 91/44 | 27/28, 32/33, 39/40, 44/45, 49/50, 63/65, 88/91 | 14/9, 20/13 | 7/6, 15/13 | 7/4 | 21/16 | 55/28, 63/32, 65/33, 77/39 | 40/27, 49/33, 65/44 | 10/9 | 5/3 | 5/4 | 15/8 | 45/32 | ||||
| Mavila, 5-limit | 1/1, 135/128 | 3/2 | 9/8, 16/15 | 8/5 | 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 | ||||||||
| Mother, 7-limit | |||||||||||||||||||||||||||||
| 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 | ||||||||||||||||||||
| Schism, 7-limit | |||||||||||||||||||||||||||||
| 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 |