Xenharmonikon 15 — John H. Chalmers, Jr.
The Triadic Diamond, the Triadic Reversed Diamond, and their Constituent Tetrachords when D=3/2
124 scales
| File | Description | Notes | Period (¢) | Limit |
|---|---|---|---|---|
| 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 |