101edo
101-EDO divides the octave into 101 equal parts of 11.881 cents each. It can be used to tune the grackle temperament. It is the 26th prime EDO. The 101cd val provides an excellent tuning for witchcraft temperament, falling between the 13 and 15 limit least squares tuning.
- 5-limit commas
- 32805/32768 ( [-15 8 1⟩ ), 51018336/48828125 ( [5 13 -11⟩ )
- 7-limit commas
- 126/125, 32805/32768, 2430/2401
Some important MOS scales
13 12 13 13 12 13 12 13: 5L3s MOS (Oneirotonic, an 8-tone circulating temperament)
| Steps | Cents |
|---|---|
| 13 | 154.455 |
| 25 | 297.030 |
| 38 | 451.485 |
| 51 | 605.9405 |
| 63 | 748.515 |
| 75 | 891.089 |
| 88 | 1045.5445 |
9 8 9 8 8 9 8 9 8 9 8 8: 5L7s MOS (Diatonic Pythagorean, a 12-tone circulating temperament)
| Steps | Cents |
|---|---|
| 9 | 106.059 |
| 17 | 201.980 |
| 26 | 308.911 |
| 34 | 403.960 |
| 42 | 499.010 |
| 51 | 605.940 |
| 59 | 700.990 |
| 68 | 807.921 |
| 76 | 902.970 |
| 85 | 1009.901 |
| 93 | 1104.950 |
10 3 10 3 10 3 10 3 10 3 10 3 10 3 10: 8L7s MOS (Opossum)
| Steps | Cents |
|---|---|
| 10 | 118.812 |
| 13 | 154.455 |
| 23 | 273.267 |
| 26 | 308.911 |
| 36 | 427.723 |
| 39 | 463.366 |
| 49 | 582.178 |
| 52 | 617.822 |
| 62 | 736.337 |
| 65 | 772.277 |
| 75 | 891.089 |
| 78 | 926.733 |
| 88 | 1045.5445 |
| 91 | 1081.188 |
8 5 8 5 8 5 5 8 5 8 5 8 5 8 5 5: 7L9s MOS (Golden Mavila chromatic 1/13-tone)
| Steps | Cents |
|---|---|
| 8 | 95.0495 |
| 13 | 154.455 |
| 21 | 249.505 |
| 26 | 308.911 |
| 34 | 403.960 |
| 39 | 463.366 |
| 44 | 522.772 |
| 52 | 617.822 |
| 57 | 677.228 |
| 65 | 772.277 |
| 70 | 831.683 |
| 78 | 926.733 |
| 83 | 986.139 |
| 91 | 1081.188 |
| 96 | 1045.545 |
7 3 7 3 7 7 3 7 3 7 3 7 7 3 7 3 7 3 7: 8L3s MOS (Improper Sensi-11)
| Steps | Cents |
|---|---|
| 7 | 83.168 |
| 10 | 118.812 |
| 17 | 201.980 |
| 20 | 237.624 |
| 27 | 320.792 |
| 34 | 403.960 |
| 37 | 439.604 |
| 44 | 527.772 |
| 47 | 558.416 |
| 54 | 641.584 |
| 57 | 677.228 |
| 64 | 760.396 |
| 71 | 843.564 |
| 74 | 879.218 |
| 81 | 962.376 |
| 84 | 998.020 |
| 91 | 1081.188 |
| 94 | 1116.842 |
7 7 7 7 1 7 7 7 7 7 1 7 7 7 7 7 1: 14L3s MOS (Anti-Ketradektriatoh)
| Steps | Cents |
|---|---|
| 7 | 83.168 |
| 14 | 166.337 |
| 21 | 249.505 |
| 22 | 261.386 |
| 29 | 344.554 |
| 36 | 427.723 |
| 43 | 510.891 |
| 50 | 594.059 |
| 57 | 677.278 |
| 58 | 689.119 |
| 65 | 772.287 |
| 72 | 855.446 |
| 79 | 938.614 |
| 86 | 1021.782 |
| 93 | 1104.950 |
| 100 | 1188.119 |