Table of intervals in temperaments: Difference between revisions

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A table of the [[interval]]s available in some assorted [[regular temperament]]s.
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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
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