Diatonic tetrachords
118 scales
| File | Description | Notes | Period (ยข) | Limit |
|---|---|---|---|---|
| 359_D1 | Diatonic tetrachord 104/97 * 97/90 * 15/13 | 3 | 498.0 | 97 |
| 360_D1 | Diatonic tetrachord 78/71 * 142/135 * 15/13 | 3 | 498.0 | 71 |
| 361_D1 | Diatonic tetrachord 156/149 * 149/135 * 15/13 | 3 | 498.0 | 149 |
| 362_D1 | Diatonic tetrachord 16/15 * 15/13 * 13/12, Schlesinger | 3 | 498.0 | 13 |
| 363_D1 | Diatonic tetrachord 26/25 * 10/9 * 15/13 | 3 | 498.0 | 13 |
| 364_D1 | Diatonic tetrachord 256/243 * 351/320 * 15/13 | 3 | 498.0 | 13 |
| 365_D1 | Diatonic tetrachord 20/19 * 247/225 * 15/13 | 3 | 498.0 | 19 |
| 366_D1 | Diatonic tetrachord 11/10 * 15/13 * 104/99 | 3 | 498.0 | 13 |
| 367_D1 | Diatonic tetrachord 12/11 * 15/13 * 143/135 | 3 | 498.0 | 13 |
| 368_D1 | Diatonic tetrachord 46/45 * 26/23 * 15/13 | 3 | 498.0 | 23 |
| 369_D1 | Diatonic tetrachord 40/39 * 169/150 * 15/13 | 3 | 498.0 | 13 |
| 370_D1 | Diatonic tetrachord 28/27 * 39/35 * 15/13 | 3 | 498.0 | 13 |
| 371_D1 | Diatonic tetrachord 91/90 * 8/7 * 15/13 | 3 | 498.0 | 13 |
| 372_D2 | Diatonic tetrachord 44/41 * 41/38 * 38/33 | 3 | 498.0 | 41 |
| 373_D2 | Diatonic tetrachord 11/10 * 20/19 * 38/33 | 3 | 498.0 | 19 |
| 374_D2 | Diatonic tetrachord 22/21 * 21/19 * 38/33 | 3 | 498.0 | 19 |
| 375_D3 | Diatonic tetrachord 160/149 * 149/138 * 23/20 | 3 | 498.0 | 149 |
| 376_D3 | Diatonic tetrachord 120/109 * 218/207 * 23/20 | 3 | 498.0 | 109 |
| 377_D3 | Diatonic tetrachord 240/229 * 229/207 * 23/20 | 3 | 498.0 | 229 |
| 378_D3 | Diatonic tetrachord 8/7 * 70/69 * 23/20 | 3 | 498.0 | 23 |
| 379_D3 | Diatonic tetrachord 40/39 * 26/23 * 23/20 | 3 | 498.0 | 23 |
| 380_D3 | Diatonic tetrachord 24/23 * 23/20 * 10/9, Schlesinger | 3 | 498.0 | 23 |
| 381_D3 | Diatonic tetrachord 28/27 * 180/161 * 23/20 | 3 | 498.0 | 23 |
| 382_D4 | Diatonic tetrachord 72/67 * 67/62 * 31/27 | 3 | 498.0 | 67 |
| 383_D4 | Diatonic tetrachord 108/103 * 103/93 * 31/27 | 3 | 498.0 | 103 |
| 384_D4 | Diatonic tetrachord 54/49 * 98/93 * 31/27 | 3 | 498.0 | 31 |
| 385_D4 | Diatonic tetrachord 32/31 * 9/8 * 31/27 | 3 | 498.0 | 31 |
| 386_D5 | Diatonic tetrachord 272/253 * 253/234 * 39/34 | 3 | 498.0 | 23 |
| 387_D5 | Diatonic tetrachord 408/389 * 389/351 * 39/34 | 3 | 498.0 | 389 |
| 388_D5 | Diatonic tetrachord 204/185 * 370/351 * 39/34 | 3 | 498.0 | 37 |
| 389_D5 | Diatonic tetrachord 40/39 * 39/34 * 17/15 | 3 | 498.0 | 17 |
| 390_D6 | Diatonic tetrachord 14/13 * 13/12 * 8/7, Avicenna | 3 | 498.0 | 13 |
| 391_D6 | Diatonic tetrachord 19/18 * 21/19 * 8/7, Safiyu-d-Din | 3 | 498.0 | 19 |
| 392_D6 | Diatonic tetrachord 21/20 * 10/9 * 8/7, Ptolemy | 3 | 498.0 | 7 |
| 393_D6 | Diatonic tetrachord 28/27 * 8/7 * 9/8, Archytas | 3 | 498.0 | 7 |
| 394_D6 | Diatonic tetrachord 49/48 * 8/7 * 8/7, Al-Farabi | 3 | 498.0 | 7 |
| 395_D6 | Diatonic tetrachord 35/33 * 11/10 * 8/7, Avicenna | 3 | 498.0 | 11 |
| 396_D6 | Diatonic tetrachord 77/72 * 12/11 * 8/7, Avicenna | 3 | 498.0 | 11 |
| 397_D6 | Diatonic tetrachord 16/15 * 35/32 * 8/7, Vogel | 3 | 498.0 | 7 |
| 398_D6 | Diatonic tetrachord 35/34 * 17/15 * 8/7 | 3 | 498.0 | 17 |
| 399_D6 | Diatonic tetrachord 25/24 * 8/7 * 28/25 | 3 | 498.0 | 7 |
| 400_D6 | Diatonic tetrachord 15/14 * 8/7 * 49/45 | 3 | 498.0 | 7 |
| 401_D6 | Diatonic tetrachord 40/39 * 91/80 * 8/7 | 3 | 498.0 | 13 |
| 402_D6 | Diatonic tetrachord 46/45 * 105/92 * 8/7 | 3 | 498.0 | 23 |
| 403_D6 | Diatonic tetrachord 18/17 * 119/108 * 8/7 | 3 | 498.0 | 17 |
| 404_D6 | Diatonic tetrachord 17/16 * 8/7 * 56/51 | 3 | 498.0 | 17 |
| 405_D6 | Diatonic tetrachord 34/33 * 77/68 * 8/7 | 3 | 498.0 | 17 |
| 406_D6 | Diatonic tetrachord 256/243 * 567/512 * 8/7 | 3 | 498.0 | 7 |
| 407_D7 | Diatonic tetrachord 150/139 * 139/128 * 256/225 | 3 | 498.0 | 139 |
| 408_D7 | Diatonic tetrachord 225/214 * 107/96 * 256/225 | 3 | 498.0 | 107 |
| 409_D7 | Diatonic tetrachord 225/203 * 203/192 * 256/225 | 3 | 498.0 | 29 |
| 410_D7 | Diatonic tetrachord 25/24 * 9/8 * 256/225 | 3 | 498.0 | 5 |
| 411_D8 | Diatonic tetrachord 176/163 * 163/150 * 25/22 | 3 | 498.0 | 163 |
| 412_D8 | Diatonic tetrachord 132/119 * 238/225 * 25/22 | 3 | 498.0 | 17 |
| 413_D8 | Diatonic tetrachord 264/251 * 251/225 * 25/22 | 3 | 498.0 | 251 |
| 414_D8 | Diatonic tetrachord 16/15 * 11/10 * 25/22 | 3 | 498.0 | 11 |
| 415_D8 | Diatonic tetrachord 88/81 * 27/25 * 25/22 | 3 | 498.0 | 11 |
| 416_D8 | Diatonic tetrachord 22/21 * 25/22 * 28/25 | 3 | 498.0 | 11 |
| 417_D8 | Diatonic tetrachord 28/27 * 198/175 * 25/22 | 3 | 498.0 | 11 |
| 418_D8 | Diatonic tetrachord 26/25 * 44/39 * 25/22 | 3 | 498.0 | 13 |
| 419_D9 | Diatonic tetrachord 27/25 * 25/23 * 92/81 | 3 | 498.0 | 23 |
| 420_D9 | Diatonic tetrachord 81/77 * 77/69 * 92/81 | 3 | 498.0 | 23 |
| 421_D9 | Diatonic tetrachord 81/73 * 73/69 * 92/81 | 3 | 498.0 | 73 |
| 422_D9 | Diatonic tetrachord 24/23 * 9/8 * 92/81 | 3 | 498.0 | 23 |
| 423_D9 | Diatonic tetrachord 27/26 * 26/23 * 92/81 | 3 | 498.0 | 23 |
| 424_D10 | Diatonic tetrachord 67/62 * 62/57 * 76/67 | 3 | 498.0 | 67 |
| 425_D10 | Diatonic tetrachord 201/181 * 181/171 * 76/67 | 3 | 498.0 | 181 |
| 426_D10 | Diatonic tetrachord 201/191 * 191/171 * 76/67 | 3 | 498.0 | 191 |
| 427_D10 | Diatonic tetrachord 256/243 * 76/67 * 5427/4864, Euler | 3 | 498.0 | 67 |
| 428_D11 | Diatonic tetrachord 40/37 * 37/34 * 17/15 | 3 | 498.0 | 37 |
| 429_D11 | Diatonic tetrachord 10/9 * 18/17 * 17/15, Kornerup | 3 | 498.0 | 17 |
| 430_D11 | Diatonic tetrachord 20/19 * 19/17 * 17/15, Ptolemy | 3 | 498.0 | 19 |
| 431_D11 | Diatonic tetrachord 15/14 * 56/51 * 17/15 | 3 | 498.0 | 17 |
| 432_D11 | Diatonic tetrachord 80/77 * 77/68 * 17/15 | 3 | 498.0 | 17 |
| 433_D11 | Diatonic tetrachord 12/11 * 55/51 * 17/15 | 3 | 498.0 | 17 |
| 434_D11 | Diatonic tetrachord 120/109 * 109/102 * 17/15 | 3 | 498.0 | 109 |
| 435_D11 | Diatonic tetrachord 120/113 * 113/102 * 17/15 | 3 | 498.0 | 113 |
| 436_D11 | Diatonic tetrachord 24/23 * 115/102 * 17/15 | 3 | 498.0 | 23 |
| 437_D11 | Diatonic tetrachord 160/153 * 9/8 * 17/15 | 3 | 498.0 | 17 |
| 438_D12 | Diatonic tetrachord 66/61 * 61/56 * 112/99 | 3 | 498.0 | 61 |
| 439_D12 | Diatonic tetrachord 99/94 * 47/42 * 112/99 | 3 | 498.0 | 47 |
| 440_D12 | Diatonic tetrachord 99/89 * 89/84 * 112/99 | 3 | 498.0 | 89 |
| 441_D12 | Diatonic tetrachord 10/9 * 297/280 * 112/99 | 3 | 498.0 | 11 |
| 442_D12 | Diatonic tetrachord 22/21 * 9/8 * 112/99 | 3 | 498.0 | 11 |
| 443_D13 | Diatonic tetrachord 12/11 * 13/12 * 44/39, Young | 3 | 498.0 | 13 |
| 444_D13 | Diatonic tetrachord 39/35 * 35/33 * 44/39 | 3 | 498.0 | 13 |
| 445_D13 | Diatonic tetrachord 39/37 * 37/33 * 44/39 | 3 | 498.0 | 37 |
| 446_D13 | Diatonic tetrachord 44/39 * 9/8 * 104/99 | 3 | 498.0 | 13 |
| 447_D14 | Diatonic tetrachord 90/83 * 83/76 * 152/135 | 3 | 498.0 | 83 |
| 448_D14 | Diatonic tetrachord 135/128 * 64/57 * 152/135 | 3 | 498.0 | 19 |
| 449_D14 | Diatonic tetrachord 135/121 * 121/114 * 152/135 | 3 | 498.0 | 19 |
| 450_D14 | Diatonic tetrachord 20/19 * 9/8 * 152/135 | 3 | 498.0 | 19 |
| 451_D15 | Diatonic tetrachord 64/59 * 59/54 * 9/8, Safiyu-d-Din | 3 | 498.0 | 59 |
| 452_D15 | Diatonic tetrachord 48/43 * 86/81 * 9/8, Safiyu-d-Din | 3 | 498.0 | 43 |
| 453_D15 | Diatonic tetrachord 96/91 * 91/81 * 9/8 | 3 | 498.0 | 13 |
| 454_D15 | Diatonic tetrachord 256/243 * 9/8 * 9/8, Pythagoras? | 3 | 498.0 | 3 |
| 455_D15 | Diatonic tetrachord 16/15 * 9/8 * 10/9, Ptolemy, Didymos | 3 | 498.0 | 5 |
| 456_D15 | Diatonic tetrachord 2187/2048 * 65536/59049 * 9/8, Anonymous | 3 | 498.0 | 3 |
| 457_D15 | Diatonic tetrachord 9/8 * 12/11 * 88/81, Avicenna | 3 | 498.0 | 11 |
| 458_D15 | Diatonic tetrachord 13/12 * 9/8 * 128/117, Avicenna | 3 | 498.0 | 13 |
| 459_D15 | Diatonic tetrachord 14/13 * 9/8 * 208/189, Avicenna | 3 | 498.0 | 13 |
| 460_D15 | Diatonic tetrachord 9/8 * 11/10 * 320/297, Al-Farabi | 3 | 498.0 | 11 |
| 461_D15 | Diatonic tetrachord 9/8 * 15/14 * 448/405 | 3 | 498.0 | 7 |
| 462_D15 | Diatonic tetrachord 9/8 * 17/16 * 512/459 | 3 | 498.0 | 17 |
| 463_D15 | Diatonic tetrachord 9/8 * 18/17 * 272/243 | 3 | 498.0 | 17 |
| 464_D15 | Diatonic tetrachord 9/8 * 19/18 * 64/57 | 3 | 498.0 | 19 |
| 465_D15 | Diatonic tetrachord 56/51 * 9/8 * 68/63 | 3 | 498.0 | 17 |
| 466_D15 | Diatonic tetrachord 9/8 * 200/189 * 28/25 | 3 | 498.0 | 7 |
| 467_D15 | Diatonic tetrachord 184/171 * 9/8 * 76/69 | 3 | 498.0 | 23 |
| 468_D15 | Diatonic tetrachord 32/29 * 9/8 * 29/27 | 3 | 498.0 | 29 |
| 469_D15 | Diatonic tetrachord 121/108 * 9/8 * 128/121, Partch | 3 | 498.0 | 11 |
| 470_D15 | Diatonic tetrachord 9/8 * 4096/3645 * 135/128 | 3 | 498.0 | 5 |
| 471_D15 | Diatonic tetrachord 9/8 * 7168/6561 * 243/224 | 3 | 498.0 | 7 |
| 472_D15 | Diatonic tetrachord 35/32 * 1024/945 * 9/8 | 3 | 498.0 | 7 |
| 473_D16 | Diatonic tetrachord 11/10 * 13/12 * 160/143, Al-Farabi | 3 | 498.0 | 13 |
| 474_D17 | Diatonic tetrachord 12/11 * 11/10 * 10/9, Ptolemy | 3 | 498.0 | 11 |
| 475_D17 | Diatonic tetrachord 10/9 * 10/9 * 27/25, Al-Farabi | 3 | 498.0 | 5 |
| 476_D17 | Diatonic tetrachord 10/9 * 13/12 * 72/65, Avicenna | 3 | 498.0 | 13 |