Table of intervals in temperaments

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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