23-limit scales
105 scales
| File | Description | Notes | Period (ยข) | Limit | Source |
|---|---|---|---|---|---|
| 030_H8 | Hyperenharmonic tetrachord 70/69 * 46/45 * 9/7 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 045_E1 | Enharmonic tetrachord 36/35 * 70/69 * 23/18, Wilson | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 049_E2 | Enharmonic tetrachord 46/45 * 45/44 * 88/69 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 051_E2 | Enharmonic tetrachord 69/68 * 34/33 * 88/69 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 091_E10 | Enharmonic tetrachord 24/23 * 69/68 * 34/27 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 104_E13 | Enharmonic tetrachord 46/45 * 24/23 * 5/4, Ptolemy | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 138_C2 | Chromatic tetrachord 24/23 * 161/156 * 26/21 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 145_C3 | Chromatic tetrachord 24/23 * 391/378 * 21/17 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 155_C4 | Chromatic tetrachord 24/23 * 207/200 * 100/81 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 176_C8 | Chromatic tetrachord 24/23 * 23/22 * 11/9, Winnington-Ingram | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 190_C10 | Chromatic tetrachord 23/22 * 22/21 * 28/23, Wilson | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 191_C10 | Chromatic tetrachord 69/65 * 65/63 * 28/23 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 193_C10 | Chromatic tetrachord 46/45 * 15/14 * 28/23 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 224_C14 | Chromatic tetrachord 24/23 * 115/108 * 6/5 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 226_C14 | Chromatic tetrachord 46/45 * 6/5 * 25/23 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 257_C17 | Chromatic tetrachord 243/230 * 115/108 * 32/27, Ps.-Philolaus? | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 260_C17 | Chromatic tetrachord 23/22 * 99/92 * 32/27 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 261_C17 | Chromatic tetrachord 24/23 * 69/64 * 32/27 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 300_C22 | Chromatic tetrachord 28/27 * 23/21 * 27/23 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 301_C22 | Chromatic tetrachord 23/22 * 88/81 * 27/23 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 302_C22 | Chromatic tetrachord 46/45 * 10/9 * 27/23 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 309_C24 | Chromatic tetrachord 24/23 * 23/21 * 7/6 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 313_C24 | Chromatic tetrachord 92/91 * 26/23 * 7/6 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 319_C24 | Chromatic tetrachord 46/45 * 180/161 * 7/6 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 337_C27 | Chromatic tetrachord 23/21 * 21/20 * 80/69 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 338_C27 | Chromatic tetrachord 23/22 * 11/10 * 80/69 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 339_C27 | Chromatic tetrachord 46/45 * 9/8 * 80/69 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 349_C29 | Chromatic tetrachord 24/23 * 115/104 * 52/45 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 368_D1 | Diatonic tetrachord 46/45 * 26/23 * 15/13 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 378_D3 | Diatonic tetrachord 8/7 * 70/69 * 23/20 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 379_D3 | Diatonic tetrachord 40/39 * 26/23 * 23/20 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 380_D3 | Diatonic tetrachord 24/23 * 23/20 * 10/9, Schlesinger | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 381_D3 | Diatonic tetrachord 28/27 * 180/161 * 23/20 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 386_D5 | Diatonic tetrachord 272/253 * 253/234 * 39/34 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 402_D6 | Diatonic tetrachord 46/45 * 105/92 * 8/7 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 419_D9 | Diatonic tetrachord 27/25 * 25/23 * 92/81 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 420_D9 | Diatonic tetrachord 81/77 * 77/69 * 92/81 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 422_D9 | Diatonic tetrachord 24/23 * 9/8 * 92/81 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 423_D9 | Diatonic tetrachord 27/26 * 26/23 * 92/81 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 436_D11 | Diatonic tetrachord 24/23 * 115/102 * 17/15 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 467_D15 | Diatonic tetrachord 184/171 * 9/8 * 76/69 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 492_R16 | Reduplicated tetrachord 46/45 * 46/45 * 675/529 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 500_M8 | Miscellaneous tetrachord 92/91 * 91/90 * 30/23 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 510_M18 | Miscellaneous tetrachord 70/69 * 69/68 * 136/105 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 536_M44 | Miscellaneous tetrachord 19/18 * 24/23 * 23/19 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 539_M47 | Miscellaneous tetrachord 24/23 * 115/96 * 16/15 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 540_M48 | Miscellaneous tetrachord 256/243 * 243/230 * 115/96 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 570_M78 | Miscellaneous tetrachord 46/45 * 132/115 * 25/22 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 579_M87 | Miscellaneous tetrachord 23/21 * 14/13 * 26/23 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 580_M88 | Miscellaneous tetrachord 23/22 * 44/39 * 26/23 | 3 | 498.0 | 23 | Divisions of the Tetrachord |
| 21-23-25-27 | 21 23 25 27 | 13 | 1200.0 | 23 | Mailing lists |
| 24_limit_rainbow | 24 limit rainbow John O'Sullivan | 12 | 1200.0 | 23 | Mailing lists |
| Sp53rat | Sparschuh's [2010] rational 53-tone with some epimoric biased 5ths | 53 | 1200.0 | 23 | Mailing lists |
| jot17 | Just octachord tuning -- 9:8-4:3-9:8 division, 17 steps (7 + 3 + 7), C-C | 17 | 1200.0 | 23 | Mailing lists |
| jot17a | Just octachord tuning -- 4:3-9:8-4:3 division, 17 steps (7 + 3 + 7), Bb-Bb | 17 | 1200.0 | 23 | Mailing lists |
| triaphonic_17 | 17-tone Triaphonic Cycle, conjunctive form on 4/3, 7/6 and 9/7 | 17 | 1200.0 | 23 | Mailing lists |
| xen10-chalmers-tritriadic-13-23-21 | Tritriadic scale built from 13:23:21 | 7 | 1200.0 | 23 | Xenharmonikon |
| xen10-chalmers-tritriadic-17-7-23 | Tritriadic scale built from 17:7:23 | 7 | 1200.0 | 23 | Xenharmonikon |
| xen10-chalmers-tritriadic-19-21-23 | Tritriadic scale built from 19:21:23 | 7 | 1200.0 | 23 | Xenharmonikon |
| xen10-chalmers-tritriadic-21-1-23 | Tritriadic scale built from 21:1:23 | 7 | 1200.0 | 23 | Xenharmonikon |
| xen10-chalmers-tritriadic-21-15-23 | Tritriadic scale built from 21:15:23 | 7 | 1200.0 | 23 | Xenharmonikon |
| xen10-chalmers-tritriadic-23-17-25 | Tritriadic scale built from 23:17:25 | 7 | 1200.0 | 23 | Xenharmonikon |
| xen10-chalmers-tritriadic-7-23-19 | Tritriadic scale built from 7:23:19 | 7 | 1200.0 | 23 | Xenharmonikon |
| xen10-chalmers-tritriadic-7-25-23 | Tritriadic scale built from 7:25:23 | 7 | 1200.0 | 23 | Xenharmonikon |
| xen12-chalmers-tritriadic-dm-1-21-23 | Tritriadic D->M scale built from 1:21:23 | 7 | 1200.0 | 23 | Xenharmonikon |
| xen12-chalmers-tritriadic-dm-13-23-7 | Tritriadic D->M scale built from 13:23:7 | 7 | 1200.0 | 23 | Xenharmonikon |
| xen12-chalmers-tritriadic-dm-15-21-23 | Tritriadic D->M scale built from 15:21:23 | 7 | 1200.0 | 23 | Xenharmonikon |
| xen12-chalmers-tritriadic-dm-17-23-25 | Tritriadic D->M scale built from 17:23:25 | 7 | 1200.0 | 23 | Xenharmonikon |
| xen12-chalmers-tritriadic-dm-21-23-19 | Tritriadic D->M scale built from 21:23:19 | 7 | 1200.0 | 23 | Xenharmonikon |
| xen12-chalmers-tritriadic-dm-23-19-7 | Tritriadic D->M scale built from 23:19:7 | 7 | 1200.0 | 23 | Xenharmonikon |
| xen12-chalmers-tritriadic-dm-23-21-13 | Tritriadic D->M scale built from 23:21:13 | 7 | 1200.0 | 23 | Xenharmonikon |
| xen12-chalmers-tritriadic-dm-25-23-7 | Tritriadic D->M scale built from 25:23:7 | 7 | 1200.0 | 23 | Xenharmonikon |
| xen12-chalmers-tritriadic-dm-27-23-17 | Tritriadic D->M scale built from 27:23:17 | 7 | 1200.0 | 23 | Xenharmonikon |
| xen12-chalmers-tritriadic-dm-7-17-23 | Tritriadic D->M scale built from 7:17:23 | 7 | 1200.0 | 23 | Xenharmonikon |
| xen12-chalmers-tritriadic-mt-1-21-23 | Tritriadic M->T scale built from 1:21:23 | 7 | 1200.0 | 23 | Xenharmonikon |
| xen12-chalmers-tritriadic-mt-13-23-7 | Tritriadic M->T scale built from 13:23:7 | 7 | 1200.0 | 23 | Xenharmonikon |
| xen12-chalmers-tritriadic-mt-15-21-23 | Tritriadic M->T scale built from 15:21:23 | 7 | 1200.0 | 23 | Xenharmonikon |
| xen12-chalmers-tritriadic-mt-17-23-25 | Tritriadic M->T scale built from 17:23:25 | 7 | 1200.0 | 23 | Xenharmonikon |
| xen12-chalmers-tritriadic-mt-21-23-19 | Tritriadic M->T scale built from 21:23:19 | 7 | 1200.0 | 23 | Xenharmonikon |
| xen12-chalmers-tritriadic-mt-23-19-7 | Tritriadic M->T scale built from 23:19:7 | 7 | 1200.0 | 23 | Xenharmonikon |
| xen12-chalmers-tritriadic-mt-23-21-13 | Tritriadic M->T scale built from 23:21:13 | 7 | 1200.0 | 23 | Xenharmonikon |
| xen12-chalmers-tritriadic-mt-25-23-7 | Tritriadic M->T scale built from 25:23:7 | 7 | 1200.0 | 23 | Xenharmonikon |
| xen12-chalmers-tritriadic-mt-27-23-17 | Tritriadic M->T scale built from 27:23:17 | 7 | 1200.0 | 23 | Xenharmonikon |
| xen12-chalmers-tritriadic-mt-7-17-23 | Tritriadic M->T scale built from 7:17:23 | 7 | 1200.0 | 23 | Xenharmonikon |
| xen15-chalmers-triadic-diamond-23-18 | Triadic diamond for M=23/18, D=3/2 | 7 | 1200.0 | 23 | Xenharmonikon |
| 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 | Xenharmonikon |
| xen15-chalmers-triadic-diamond-23-19 | Triadic diamond for M=23/19, D=3/2 | 7 | 1200.0 | 23 | Xenharmonikon |
| 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 | Xenharmonikon |
| xen15-chalmers-triadic-diamond-23-20 | Triadic diamond for M=23/20, D=3/2 | 7 | 1200.0 | 23 | Xenharmonikon |
| 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 | Xenharmonikon |
| xen15-chalmers-triadic-reversed-diamond-23-18 | Triadic reversed diamond for M=23/18, D=3/2 | 7 | 1200.0 | 23 | Xenharmonikon |
| 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 | Xenharmonikon |
| xen15-chalmers-triadic-reversed-diamond-23-19 | Triadic reversed diamond for M=23/19, D=3/2 | 7 | 1200.0 | 23 | Xenharmonikon |
| 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 | Xenharmonikon |
| xen15-chalmers-triadic-reversed-diamond-23-20 | Triadic reversed diamond for M=23/20, D=3/2 | 7 | 1200.0 | 23 | Xenharmonikon |
| 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 | Xenharmonikon |
| xen15-chalmers-triadic-reversed-diamond-27-23 | Triadic reversed diamond for M=27/23, D=3/2 | 7 | 1200.0 | 23 | Xenharmonikon |
| 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 | Xenharmonikon |
| xen15-chalmers-triadic-reversed-diamond-30-23 | Triadic reversed diamond for M=30/23, D=3/2 | 7 | 1200.0 | 23 | Xenharmonikon |
| 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 | Xenharmonikon |
| xen15-chalmers-triadic-reversed-diamond-57-46 | Triadic reversed diamond for M=57/46, D=3/2 | 7 | 1200.0 | 23 | Xenharmonikon |
| 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 | Xenharmonikon |
| xen15-gilson-eratosthenes-enharmonic | Eratosthenes' Enharmonic | 7 | 1200.0 | 23 | Xenharmonikon |
| xen17-bohlen-harmonic-2 | 12-tone non-tempered scale based on 4:7:10 triad | 12 | 1902.0 | 23 | Xenharmonikon |
| xen18-ayers-table-59 | 7 Iterated Second Unnamed Means between 1/1 and 2/1, Weighted by Ratio 3/2 | 8 | 1200.0 | 23 | Xenharmonikon |