Xenharmonikon 15
188 scales
| File | Description | Notes | Period (ยข) | Limit |
|---|---|---|---|---|
| xen15-chalmers-stretched-14-1 | Least-Squares Stretched 14-Tone Equal Temperament, Table 4 | 14 | 1213.5 | |
| xen15-chalmers-stretched-14-2 | Least-Squares Stretched 14-Tone Equal Temperament, Table 6 | 14 | 1209.5 | |
| xen15-chalmers-triadic-diamond-11-9 | Triadic diamond for M=11/9, D=3/2 | 7 | 1200.0 | 11 |
| xen15-chalmers-triadic-diamond-11-9-tetrachord | Upper tetrachord 88/81 * 243/242 * 11/9 of triadic diamond for M=11/9, D=3/2 | 3 | 498.0 | 11 |
| xen15-chalmers-triadic-diamond-13-11 | Triadic diamond for M=13/11, D=3/2 | 7 | 1200.0 | 13 |
| xen15-chalmers-triadic-diamond-13-11-tetrachord | Upper tetrachord 104/99 * 363/338 * 13/11 of triadic diamond for M=13/11, D=3/2 | 3 | 498.0 | 13 |
| xen15-chalmers-triadic-diamond-14-11 | Triadic diamond for M=14/11, D=3/2 | 7 | 1200.0 | 11 |
| xen15-chalmers-triadic-diamond-14-11-tetrachord | Upper tetrachord 22/21 * 392/363 * 33/28 of triadic diamond for M=14/11, D=3/2 | 3 | 498.0 | 11 |
| xen15-chalmers-triadic-diamond-15-13 | Triadic diamond for M=15/13, D=3/2 | 7 | 1200.0 | 13 |
| xen15-chalmers-triadic-diamond-15-13-tetrachord | Upper tetrachord 40/39 * 169/150 * 15/13 of triadic diamond for M=15/13, D=3/2 | 3 | 498.0 | 13 |
| xen15-chalmers-triadic-diamond-16-13 | Triadic diamond for M=16/13, D=3/2 | 7 | 1200.0 | 13 |
| xen15-chalmers-triadic-diamond-16-13-tetrachord | Upper tetrachord 13/12 * 512/507 * 39/32 of triadic diamond for M=16/13, D=3/2 | 3 | 498.0 | 13 |
| xen15-chalmers-triadic-diamond-17-13 | Triadic diamond for M=17/13, D=3/2 | 7 | 1200.0 | 17 |
| xen15-chalmers-triadic-diamond-17-13-tetrachord | Upper tetrachord 52/51 * 578/507 * 39/34 of triadic diamond for M=17/13, D=3/2 | 3 | 498.0 | 17 |
| xen15-chalmers-triadic-diamond-17-14 | Triadic diamond for M=17/14, D=3/2 | 7 | 1200.0 | 17 |
| xen15-chalmers-triadic-diamond-17-14-tetrachord | Upper tetrachord 68/63 * 294/289 * 17/14 of triadic diamond for M=17/14, D=3/2 | 3 | 498.0 | 17 |
| xen15-chalmers-triadic-diamond-19-16 | Triadic diamond for M=19/16, D=3/2 | 7 | 1200.0 | 19 |
| xen15-chalmers-triadic-diamond-19-16-tetrachord | Upper tetrachord 19/18 * 384/361 * 19/16 of triadic diamond for M=19/16, D=3/2 | 3 | 498.0 | 19 |
| xen15-chalmers-triadic-diamond-22-17 | Triadic diamond for M=22/17, D=3/2 | 7 | 1200.0 | 17 |
| xen15-chalmers-triadic-diamond-22-17-tetrachord | Upper tetrachord 34/33 * 968/867 * 51/44 of triadic diamond for M=22/17, D=3/2 | 3 | 498.0 | 17 |
| xen15-chalmers-triadic-diamond-23-18 | Triadic diamond for M=23/18, D=3/2 | 7 | 1200.0 | 23 |
| xen15-chalmers-triadic-diamond-23-18-tetrachord | Upper tetrachord 24/23 * 529/486 * 27/23 of triadic diamond for M=23/18, D=3/2 | 3 | 498.0 | 23 |
| xen15-chalmers-triadic-diamond-23-19 | Triadic diamond for M=23/19, D=3/2 | 7 | 1200.0 | 23 |
| xen15-chalmers-triadic-diamond-23-19-tetrachord | Upper tetrachord 184/171 * 1083/1058 * 23/19 of triadic diamond for M=23/19, D=3/2 | 3 | 498.0 | 23 |
| xen15-chalmers-triadic-diamond-23-20 | Triadic diamond for M=23/20, D=3/2 | 7 | 1200.0 | 23 |
| xen15-chalmers-triadic-diamond-23-20-tetrachord | Upper tetrachord 46/45 * 600/529 * 23/20 of triadic diamond for M=23/20, D=3/2 | 3 | 498.0 | 23 |
| xen15-chalmers-triadic-diamond-26-21 | Triadic diamond for M=26/21, D=3/2 | 7 | 1200.0 | 13 |
| xen15-chalmers-triadic-diamond-26-21-tetrachord | Upper tetrachord 14/13 * 1352/1323 * 63/52 of triadic diamond for M=26/21, D=3/2 | 3 | 498.0 | 13 |
| xen15-chalmers-triadic-diamond-32-25 | Triadic diamond for M=32/25, D=3/2 | 7 | 1200.0 | 5 |
| xen15-chalmers-triadic-diamond-32-25-tetrachord | Upper tetrachord 25/24 * 2048/1875 * 75/64 of triadic diamond for M=32/25, D=3/2 | 3 | 498.0 | 5 |
| xen15-chalmers-triadic-diamond-34-27 | Triadic diamond for M=34/27, D=3/2 | 7 | 1200.0 | 17 |
| xen15-chalmers-triadic-diamond-34-27-tetrachord | Upper tetrachord 18/17 * 2312/2187 * 81/68 of triadic diamond for M=34/27, D=3/2 | 3 | 498.0 | 17 |
| xen15-chalmers-triadic-diamond-35-27 | Triadic diamond for M=35/27, D=3/2 | 7 | 1200.0 | 7 |
| xen15-chalmers-triadic-diamond-35-27-tetrachord | Upper tetrachord 36/35 * 2450/2187 * 81/70 of triadic diamond for M=35/27, D=3/2 | 3 | 498.0 | 7 |
| xen15-chalmers-triadic-diamond-40-33 | Triadic diamond for M=40/33, D=3/2 | 7 | 1200.0 | 11 |
| xen15-chalmers-triadic-diamond-40-33-tetrachord | Upper tetrachord 320/297 * 3267/3200 * 40/33 of triadic diamond for M=40/33, D=3/2 | 3 | 498.0 | 11 |
| xen15-chalmers-triadic-diamond-5-4 | Triadic diamond for M=5/4, D=3/2 | 7 | 1200.0 | 5 |
| xen15-chalmers-triadic-diamond-5-4-tetrachord | Upper tetrachord 16/15 * 25/24 * 6/5 of triadic diamond for M=5/4, D=3/2 | 3 | 498.0 | 5 |
| xen15-chalmers-triadic-diamond-56-45 | Triadic diamond for M=56/45, D=3/2 | 7 | 1200.0 | 7 |
| xen15-chalmers-triadic-diamond-56-45-tetrachord | Upper tetrachord 15/14 * 6272/6075 * 135/112 of triadic diamond for M=56/45, D=3/2 | 3 | 498.0 | 7 |
| xen15-chalmers-triadic-diamond-64-51 | Triadic diamond for M=64/51, D=3/2 | 7 | 1200.0 | 17 |
| xen15-chalmers-triadic-diamond-64-51-tetrachord | Upper tetrachord 17/16 * 8192/7803 * 153/128 of triadic diamond for M=64/51, D=3/2 | 3 | 498.0 | 17 |
| xen15-chalmers-triadic-diamond-7-6 | Triadic diamond for M=7/6, D=3/2 | 7 | 1200.0 | 7 |
| xen15-chalmers-triadic-diamond-7-6-tetrachord | Upper tetrachord 28/27 * 54/49 * 7/6 of triadic diamond for M=7/6, D=3/2 | 3 | 498.0 | 7 |
| xen15-chalmers-triadic-diamond-8-7 | Triadic diamond for M=8/7, D=3/2 | 7 | 1200.0 | 7 |
| xen15-chalmers-triadic-diamond-8-7-tetrachord | Upper tetrachord 64/63 * 147/128 * 8/7 of triadic diamond for M=8/7, D=3/2 | 3 | 498.0 | 7 |
| xen15-chalmers-triadic-diamond-81-64 | Triadic diamond for M=81/64, D=3/2 | 7 | 1200.0 | 3 |
| xen15-chalmers-triadic-diamond-81-64-tetrachord | Upper tetrachord 256/243 * 2187/2048 * 32/27 of triadic diamond for M=81/64, D=3/2 | 3 | 498.0 | 3 |
| xen15-chalmers-triadic-diamond-8192-6561 | Triadic diamond for M=8192/6561, D=3/2 | 7 | 1200.0 | 3 |
| xen15-chalmers-triadic-diamond-8192-6561-tetrachord | Upper tetrachord 2187/2048 * 134217728/129140163 * 19683/16384 of triadic diamond for M=8192/6561, D=3/2 | 3 | 498.0 | 3 |
| xen15-chalmers-triadic-reversed-diamond-11-9 | Triadic reversed diamond for M=11/9, D=3/2 | 7 | 1200.0 | 11 |
| xen15-chalmers-triadic-reversed-diamond-11-9-tetrachord | Tetrachord 12/11 * 121/108 * 12/11 of triadic reversed diamond for M=11/9, D=3/2 | 3 | 498.0 | 11 |
| xen15-chalmers-triadic-reversed-diamond-13-10 | Triadic reversed diamond for M=13/10, D=3/2 | 7 | 1200.0 | 13 |
| xen15-chalmers-triadic-reversed-diamond-13-10-tetrachord | Tetrachord 40/39 * 507/400 * 40/39 of triadic reversed diamond for M=13/10, D=3/2 | 3 | 498.0 | 13 |
| xen15-chalmers-triadic-reversed-diamond-13-11 | Triadic reversed diamond for M=13/11, D=3/2 | 7 | 1200.0 | 13 |
| xen15-chalmers-triadic-reversed-diamond-13-11-tetrachord | Tetrachord 44/39 * 507/484 * 44/39 of triadic reversed diamond for M=13/11, D=3/2 | 3 | 498.0 | 13 |
| xen15-chalmers-triadic-reversed-diamond-14-11 | Triadic reversed diamond for M=14/11, D=3/2 | 7 | 1200.0 | 11 |
| xen15-chalmers-triadic-reversed-diamond-14-11-tetrachord | Tetrachord 22/21 * 147/121 * 22/21 of triadic reversed diamond for M=14/11, D=3/2 | 3 | 498.0 | 11 |
| xen15-chalmers-triadic-reversed-diamond-15-13 | Triadic reversed diamond for M=15/13, D=3/2 | 7 | 1200.0 | 13 |
| xen15-chalmers-triadic-reversed-diamond-15-13-tetrachord | Tetrachord 15/13 * 676/675 * 15/13 of triadic reversed diamond for M=15/13, D=3/2 | 3 | 498.0 | 13 |
| xen15-chalmers-triadic-reversed-diamond-16-13 | Triadic reversed diamond for M=16/13, D=3/2 | 7 | 1200.0 | 13 |
| xen15-chalmers-triadic-reversed-diamond-16-13-tetrachord | Tetrachord 13/12 * 192/169 * 13/12 of triadic reversed diamond for M=16/13, D=3/2 | 3 | 498.0 | 13 |
| xen15-chalmers-triadic-reversed-diamond-17-13 | Triadic reversed diamond for M=17/13, D=3/2 | 7 | 1200.0 | 17 |
| xen15-chalmers-triadic-reversed-diamond-17-13-tetrachord | Tetrachord 52/51 * 867/676 * 52/51 of triadic reversed diamond for M=17/13, D=3/2 | 3 | 498.0 | 17 |
| xen15-chalmers-triadic-reversed-diamond-17-14 | Triadic reversed diamond for M=17/14, D=3/2 | 7 | 1200.0 | 17 |
| xen15-chalmers-triadic-reversed-diamond-17-14-tetrachord | Tetrachord 56/51 * 867/784 * 56/51 of triadic reversed diamond for M=17/14, D=3/2 | 3 | 498.0 | 17 |
| xen15-chalmers-triadic-reversed-diamond-19-16 | Triadic reversed diamond for M=19/16, D=3/2 | 7 | 1200.0 | 19 |
| xen15-chalmers-triadic-reversed-diamond-19-16-tetrachord | Tetrachord 64/57 * 1083/1024 * 64/57 of triadic reversed diamond for M=19/16, D=3/2 | 3 | 498.0 | 19 |
| xen15-chalmers-triadic-reversed-diamond-21-16 | Triadic reversed diamond for M=21/16, D=3/2 | 7 | 1200.0 | 7 |
| xen15-chalmers-triadic-reversed-diamond-21-16-tetrachord | Tetrachord 64/63 * 1323/1024 * 64/63 of triadic reversed diamond for M=21/16, D=3/2 | 3 | 498.0 | 7 |
| xen15-chalmers-triadic-reversed-diamond-21-17 | Triadic reversed diamond for M=21/17, D=3/2 | 7 | 1200.0 | 17 |
| xen15-chalmers-triadic-reversed-diamond-21-17-tetrachord | Tetrachord 68/63 * 1323/1156 * 68/63 of triadic reversed diamond for M=21/17, D=3/2 | 3 | 498.0 | 17 |
| xen15-chalmers-triadic-reversed-diamond-22-17 | Triadic reversed diamond for M=22/17, D=3/2 | 7 | 1200.0 | 17 |
| xen15-chalmers-triadic-reversed-diamond-22-17-tetrachord | Tetrachord 34/33 * 363/289 * 34/33 of triadic reversed diamond for M=22/17, D=3/2 | 3 | 498.0 | 17 |
| xen15-chalmers-triadic-reversed-diamond-23-18 | Triadic reversed diamond for M=23/18, D=3/2 | 7 | 1200.0 | 23 |
| xen15-chalmers-triadic-reversed-diamond-23-18-tetrachord | Tetrachord 24/23 * 529/432 * 24/23 of triadic reversed diamond for M=23/18, D=3/2 | 3 | 498.0 | 23 |
| xen15-chalmers-triadic-reversed-diamond-23-19 | Triadic reversed diamond for M=23/19, D=3/2 | 7 | 1200.0 | 23 |
| xen15-chalmers-triadic-reversed-diamond-23-19-tetrachord | Tetrachord 76/69 * 1587/1444 * 76/69 of triadic reversed diamond for M=23/19, D=3/2 | 3 | 498.0 | 23 |
| xen15-chalmers-triadic-reversed-diamond-23-20 | Triadic reversed diamond for M=23/20, D=3/2 | 7 | 1200.0 | 23 |
| xen15-chalmers-triadic-reversed-diamond-23-20-tetrachord | Tetrachord 23/20 * 1600/1587 * 23/20 of triadic reversed diamond for M=23/20, D=3/2 | 3 | 498.0 | 23 |
| xen15-chalmers-triadic-reversed-diamond-24-19 | Triadic reversed diamond for M=24/19, D=3/2 | 7 | 1200.0 | 19 |
| xen15-chalmers-triadic-reversed-diamond-24-19-tetrachord | Tetrachord 19/18 * 432/361 * 19/18 of triadic reversed diamond for M=24/19, D=3/2 | 3 | 498.0 | 19 |
| xen15-chalmers-triadic-reversed-diamond-26-21 | Triadic reversed diamond for M=26/21, D=3/2 | 7 | 1200.0 | 13 |
| xen15-chalmers-triadic-reversed-diamond-26-21-tetrachord | Tetrachord 14/13 * 169/147 * 14/13 of triadic reversed diamond for M=26/21, D=3/2 | 3 | 498.0 | 13 |
| xen15-chalmers-triadic-reversed-diamond-27-22 | Triadic reversed diamond for M=27/22, D=3/2 | 7 | 1200.0 | 11 |
| xen15-chalmers-triadic-reversed-diamond-27-22-tetrachord | Tetrachord 88/81 * 2187/1936 * 88/81 of triadic reversed diamond for M=27/22, D=3/2 | 3 | 498.0 | 11 |
| xen15-chalmers-triadic-reversed-diamond-27-23 | Triadic reversed diamond for M=27/23, D=3/2 | 7 | 1200.0 | 23 |
| xen15-chalmers-triadic-reversed-diamond-27-23-tetrachord | Tetrachord 92/81 * 2187/2116 * 92/81 of triadic reversed diamond for M=27/23, D=3/2 | 3 | 498.0 | 23 |
| xen15-chalmers-triadic-reversed-diamond-30-23 | Triadic reversed diamond for M=30/23, D=3/2 | 7 | 1200.0 | 23 |
| xen15-chalmers-triadic-reversed-diamond-30-23-tetrachord | Tetrachord 46/45 * 675/529 * 46/45 of triadic reversed diamond for M=30/23, D=3/2 | 3 | 498.0 | 23 |
| xen15-chalmers-triadic-reversed-diamond-32-25 | Triadic reversed diamond for M=32/25, D=3/2 | 7 | 1200.0 | 5 |
| xen15-chalmers-triadic-reversed-diamond-32-25-tetrachord | Tetrachord 25/24 * 768/625 * 25/24 of triadic reversed diamond for M=32/25, D=3/2 | 3 | 498.0 | 5 |
| xen15-chalmers-triadic-reversed-diamond-32-27 | Triadic reversed diamond for M=32/27, D=3/2 | 7 | 1200.0 | 3 |
| xen15-chalmers-triadic-reversed-diamond-32-27-tetrachord | Tetrachord 9/8 * 256/243 * 9/8 of triadic reversed diamond for M=32/27, D=3/2 | 3 | 498.0 | 3 |
| xen15-chalmers-triadic-reversed-diamond-33-26 | Triadic reversed diamond for M=33/26, D=3/2 | 7 | 1200.0 | 13 |
| xen15-chalmers-triadic-reversed-diamond-33-26-tetrachord | Tetrachord 104/99 * 3267/2704 * 104/99 of triadic reversed diamond for M=33/26, D=3/2 | 3 | 498.0 | 13 |
| xen15-chalmers-triadic-reversed-diamond-33-28 | Triadic reversed diamond for M=33/28, D=3/2 | 7 | 1200.0 | 11 |
| xen15-chalmers-triadic-reversed-diamond-33-28-tetrachord | Tetrachord 112/99 * 3267/3136 * 112/99 of triadic reversed diamond for M=33/28, D=3/2 | 3 | 498.0 | 11 |
| xen15-chalmers-triadic-reversed-diamond-34-27 | Triadic reversed diamond for M=34/27, D=3/2 | 7 | 1200.0 | 17 |
| xen15-chalmers-triadic-reversed-diamond-34-27-tetrachord | Tetrachord 18/17 * 289/243 * 18/17 of triadic reversed diamond for M=34/27, D=3/2 | 3 | 498.0 | 17 |
| xen15-chalmers-triadic-reversed-diamond-35-27 | Triadic reversed diamond for M=35/27, D=3/2 | 7 | 1200.0 | 7 |
| xen15-chalmers-triadic-reversed-diamond-35-27-tetrachord | Tetrachord 36/35 * 1225/972 * 36/35 of triadic reversed diamond for M=35/27, D=3/2 | 3 | 498.0 | 7 |
| xen15-chalmers-triadic-reversed-diamond-39-32 | Triadic reversed diamond for M=39/32, D=3/2 | 7 | 1200.0 | 13 |
| xen15-chalmers-triadic-reversed-diamond-39-32-tetrachord | Tetrachord 128/117 * 4563/4096 * 128/117 of triadic reversed diamond for M=39/32, D=3/2 | 3 | 498.0 | 13 |
| xen15-chalmers-triadic-reversed-diamond-39-34 | Triadic reversed diamond for M=39/34, D=3/2 | 7 | 1200.0 | 17 |
| xen15-chalmers-triadic-reversed-diamond-39-34-tetrachord | Tetrachord 39/34 * 4624/4563 * 39/34 of triadic reversed diamond for M=39/34, D=3/2 | 3 | 498.0 | 17 |
| xen15-chalmers-triadic-reversed-diamond-40-33 | Triadic reversed diamond for M=40/33, D=3/2 | 7 | 1200.0 | 11 |
| xen15-chalmers-triadic-reversed-diamond-40-33-tetrachord | Tetrachord 11/10 * 400/363 * 11/10 of triadic reversed diamond for M=40/33, D=3/2 | 3 | 498.0 | 11 |
| xen15-chalmers-triadic-reversed-diamond-5-4 | Triadic reversed diamond for M=5/4, D=3/2 | 7 | 1200.0 | 5 |
| xen15-chalmers-triadic-reversed-diamond-5-4-tetrachord | Tetrachord 16/15 * 75/64 * 16/15 of triadic reversed diamond for M=5/4, D=3/2 | 3 | 498.0 | 5 |
| xen15-chalmers-triadic-reversed-diamond-56-45 | Triadic reversed diamond for M=56/45, D=3/2 | 7 | 1200.0 | 7 |
| xen15-chalmers-triadic-reversed-diamond-56-45-tetrachord | Tetrachord 15/14 * 784/675 * 15/14 of triadic reversed diamond for M=56/45, D=3/2 | 3 | 498.0 | 7 |
| xen15-chalmers-triadic-reversed-diamond-57-46 | Triadic reversed diamond for M=57/46, D=3/2 | 7 | 1200.0 | 23 |
| xen15-chalmers-triadic-reversed-diamond-57-46-tetrachord | Tetrachord 184/171 * 9747/8464 * 184/171 of triadic reversed diamond for M=57/46, D=3/2 | 3 | 498.0 | 23 |
| xen15-chalmers-triadic-reversed-diamond-6-5 | Triadic reversed diamond for M=6/5, D=3/2 | 7 | 1200.0 | 5 |
| xen15-chalmers-triadic-reversed-diamond-6-5-tetrachord | Tetrachord 10/9 * 27/25 * 10/9 of triadic reversed diamond for M=6/5, D=3/2 | 3 | 498.0 | 5 |
| xen15-chalmers-triadic-reversed-diamond-64-51 | Triadic reversed diamond for M=64/51, D=3/2 | 7 | 1200.0 | 17 |
| xen15-chalmers-triadic-reversed-diamond-64-51-tetrachord | Tetrachord 17/16 * 1024/867 * 17/16 of triadic reversed diamond for M=64/51, D=3/2 | 3 | 498.0 | 17 |
| xen15-chalmers-triadic-reversed-diamond-7-6 | Triadic reversed diamond for M=7/6, D=3/2 | 7 | 1200.0 | 7 |
| xen15-chalmers-triadic-reversed-diamond-7-6-tetrachord | Tetrachord 8/7 * 49/48 * 8/7 of triadic reversed diamond for M=7/6, D=3/2 | 3 | 498.0 | 7 |
| xen15-chalmers-triadic-reversed-diamond-81-64 | Triadic reversed diamond for M=81/64, D=3/2 | 7 | 1200.0 | 3 |
| xen15-chalmers-triadic-reversed-diamond-81-64-tetrachord | Tetrachord 256/243 * 19683/16384 * 256/243 of triadic reversed diamond for M=81/64, D=3/2 | 3 | 498.0 | 3 |
| xen15-chalmers-triadic-reversed-diamond-8192-6561 | Triadic reversed diamond for M=8192/6561, D=3/2 | 7 | 1200.0 | 3 |
| xen15-chalmers-triadic-reversed-diamond-8192-6561-tetrachord | Tetrachord 2187/2048 * 16777216/14348907 * 2187/2048 of triadic reversed diamond for M=8192/6561, D=3/2 | 3 | 498.0 | 3 |
| xen15-chalmers-triadic-reversed-diamond-9-7 | Triadic reversed diamond for M=9/7, D=3/2 | 7 | 1200.0 | 7 |
| xen15-chalmers-triadic-reversed-diamond-9-7-tetrachord | Tetrachord 28/27 * 243/196 * 28/27 of triadic reversed diamond for M=9/7, D=3/2 | 3 | 498.0 | 7 |
| xen15-gilson-archytas-chromatic | Archytas' Chromatic | 7 | 1200.0 | 7 |
| xen15-gilson-archytas-diatonic | Archytas' Diatonic (or Ptolemy's Diatonic Tonaion) | 7 | 1200.0 | 7 |
| xen15-gilson-archytas-enharmonic | Archytas' Enharmonic | 7 | 1200.0 | 7 |
| xen15-gilson-aristoxenus-chromatic-hemiolon | Aristoxenus' Chromatic Hemiolon | 7 | 1200.0 | 37 |
| xen15-gilson-aristoxenus-chromatic-malakon | Aristoxenus' Chromatic Malakon | 7 | 1200.0 | 29 |
| xen15-gilson-aristoxenus-chromatic-tonikon | Aristoxenus' Chromatic Tonikon (or Eratosthenes' Chromatic) | 7 | 1200.0 | 19 |
| xen15-gilson-aristoxenus-diatonic-malakon | Aristoxenus' Diatonic Malakon | 7 | 1200.0 | 19 |
| xen15-gilson-aristoxenus-diatonic-syntonon | Aristoxenus' Diatonic Syntonon | 7 | 1200.0 | 19 |
| xen15-gilson-aristoxenus-enharmonic | Aristoxenus' Enharmonic | 7 | 1200.0 | 19 |
| xen15-gilson-didymus-chromatic | Didymus Chromatic | 7 | 1200.0 | 5 |
| xen15-gilson-didymus-diatonic | Didymus' Diatonic | 7 | 1200.0 | 5 |
| xen15-gilson-eratosthenes-diatonic | Eratosthenes' Diatonic (or Ptolemy's Diatonic Ditonaion) | 7 | 1200.0 | 3 |
| xen15-gilson-eratosthenes-enharmonic | Eratosthenes' Enharmonic | 7 | 1200.0 | 23 |
| xen15-gilson-generalized-just-1 | Ten note just scale, two rows and five columns of chart on p.119 | 10 | 1200.0 | 5 |
| xen15-gilson-generalized-just-2 | Scale based on product (25/24)**2 * (21/20)**3 * 16/15 * (8/7)**3 = 2 | 9 | 1200.0 | 7 |
| xen15-gilson-generalized-just-3 | Scale based on product (21/20)**3 * (16/15)**2 * (15/14)**3 * (10/9)**2 = 2 | 10 | 1200.0 | 7 |
| xen15-gilson-generalized-pythagorean-11-8-11 | Generalized Pythagorean Scale, 11/8 stacked 11=5+6 times | 11 | 1200.0 | |
| xen15-gilson-generalized-pythagorean-11-8-13 | Generalized Pythagorean Scale, 11/8 stacked 13=6+7 times | 13 | 1200.0 | |
| xen15-gilson-generalized-pythagorean-11-8-24 | Generalized Pythagorean Scale, 11/8 stacked 24=11+13 times | 24 | 1200.0 | |
| xen15-gilson-generalized-pythagorean-11-8-37 | Generalized Pythagorean Scale, 11/8 stacked 37=17+20 times | 37 | 1200.0 | |
| xen15-gilson-generalized-pythagorean-13-8-10 | Generalized Pythagorean Scale, 13/8 stacked 10=7+3 times | 10 | 1200.0 | |
| xen15-gilson-generalized-pythagorean-13-8-3 | Generalized Pythagorean Scale, 13/8 stacked 3=2+1 times | 3 | 1200.0 | 13 |
| xen15-gilson-generalized-pythagorean-13-8-7 | Generalized Pythagorean Scale, 13/8 stacked 7=5+2 times | 7 | 1200.0 | 13 |
| xen15-gilson-generalized-pythagorean-15-8-10 | Generalized Pythagorean Scale, 15/8 stacked 10=9+1 times | 10 | 1200.0 | |
| xen15-gilson-generalized-pythagorean-15-8-11 | Generalized Pythagorean Scale, 15/8 stacked 11=10+1 times | 11 | 1200.0 | |
| xen15-gilson-generalized-pythagorean-15-8-32 | Generalized Pythagorean Scale, 15/8 stacked 32=29+3 times | 32 | 1200.0 | |
| xen15-gilson-generalized-pythagorean-15-8-43 | Generalized Pythagorean Scale, 15/8 stacked 43=39+4 times | 43 | 1200.0 | |
| xen15-gilson-generalized-pythagorean-18-17-12 | Generalized Pythagorean Scale, 18/17 stacked 12=1+11 times | 12 | 1200.0 | |
| xen15-gilson-generalized-pythagorean-3-2-12 | Generalized Pythagorean Scale, 3/2 stacked 12=7+5 times | 12 | 1200.0 | 3 |
| xen15-gilson-generalized-pythagorean-3-2-41 | Generalized Pythagorean Scale, 3/2 stacked 41=24+17 times | 41 | 1200.0 | |
| xen15-gilson-generalized-pythagorean-3-2-5 | Generalized Pythagorean Scale, 3/2 stacked 5=3+2 times | 5 | 1200.0 | 3 |
| xen15-gilson-generalized-pythagorean-3-2-53 | Generalized Pythagorean Scale, 3/2 stacked 53=31+22 times | 53 | 1200.0 | |
| xen15-gilson-generalized-pythagorean-5-4-28 | Generalized Pythagorean Scale, 5/4 stacked 28=9+19 times | 28 | 1200.0 | |
| xen15-gilson-generalized-pythagorean-5-4-59 | Generalized Pythagorean Scale, 5/4 stacked 59=19+40 times | 59 | 1200.0 | |
| xen15-gilson-generalized-pythagorean-7-4-26 | Generalized Pythagorean Scale, 7/4 stacked 26=21+5 times | 26 | 1200.0 | |
| xen15-gilson-generalized-pythagorean-7-4-5 | Generalized Pythagorean Scale, 7/4 stacked 5=4+1 times | 5 | 1200.0 | 7 |
| xen15-gilson-just-chromatic | Just Intonation Chromatic Scale (JICS) | 12 | 1200.0 | 5 |
| xen15-gilson-just-diatonic | Just Intonation Diatonic Scale (JIDS) | 7 | 1200.0 | 5 |
| xen15-gilson-just-pentatonic | Just Intonation Pentatonic Scale (JIPS) | 5 | 1200.0 | 5 |
| xen15-gilson-ptolemy-chromatic-malakon | Ptolemy's Chromatic Malakon | 7 | 1200.0 | 7 |
| xen15-gilson-ptolemy-chromatic-syntonon | Ptolemy's Chromatic Syntonon | 7 | 1200.0 | 11 |
| xen15-gilson-ptolemy-diatonic-hemiolon | Ptolemy's Diatonic Hemiolon | 7 | 1200.0 | 11 |
| xen15-gilson-ptolemy-diatonic-malakon | Ptolemy's Diatonic Malakon | 7 | 1200.0 | 7 |
| xen15-gilson-ptolemy-diatonic-syntonon | Ptolemy's Diatonic Syntonon | 7 | 1200.0 | 5 |
| xen15-gilson-pythagorean-chromatic | Pythagorean Intonation Chromatic Scale (PICS) | 12 | 1200.0 | 3 |
| xen15-gilson-pythagorean-diatonic | Pythagorean Intonation Diatonic Scale (PIDS) | 7 | 1200.0 | 3 |
| xen15-gilson-pythagorean-pentatonic | Pythagorean Intonation Pentatonic Scale (PIPS) | 5 | 1200.0 | 3 |
| xen15-leedy-mixolydian | Just mixolydian | 7 | 1200.0 | 7 |
| xen15-mclaren-e | e scale | 7 | 1731.2 | |
| xen15-mclaren-integrated | Integrated non-self-similar scale #1 | 5 | 951.0 | |
| xen15-mclaren-metal-bar | Metal bar scale | 14 | 1200.0 | |
| xen15-mclaren-pi | pi scale | 7 | 1981.8 | |
| xen15-mclaren-root-3 | Square root of 3 scale | 9 | 951.0 | |
| xen15-mclaren-root-5 | Square root of 5 scale | 8 | 1393.2 | |
| xen15-mclaren-root-7 | Square root of 7 scale | 7 | 1684.4 | |
| xen15-oconnell-golden-section-11 | 11-note scale in 25 parts of Golden Section | 11 | 833.1 | |
| xen15-oconnell-golden-section-14 | 14-note scale in 25 parts of Golden Section | 14 | 833.1 | |
| xen15-oconnell-golden-section-18 | 18 parts of the Golden Section | 18 | 833.1 | |
| xen15-oconnell-golden-section-25 | 25 parts of the Golden Section | 25 | 833.1 | |
| xen15-oconnell-golden-section-25-pure | 25 pure octaves reduced by phi | 25 | 833.1 | |
| xen15-oconnell-golden-section-7 | 7-note scale in 25 parts of Golden Section | 7 | 833.1 | |
| xen15-oconnell-golden-section-9 | 9-note scale in 25 parts of Golden Section | 9 | 833.1 |