9633/9632
| Interval information |
fothunothothoru unison
reduced
(Shannon, [math]\sqrt{nd}[/math])
9633/9632, the coturisma, is a 43-limit superparticular comma of about 0.18 cents.
Commatic relationships
This comma is the difference between the following superparticular pairs:
It can be factored into the following superparticular ratios:
- 9801/9800 and 561925/561924
- 9802/9801 and 558657/558656
- 10241/10240 and 162240/162239
- 10374/10373 and 134849/134848
- 10450/10449 and 123201/123200
- 14365/14364 and 29241/29240
- 14535/14534 and 28561/28560
Temperaments
Tempering out this comma in the full 43-limit leads to the rank-13 temperament coturismic. Using the 2.3.7.13.19.43 subgroup leads to the rank-5 temperament coturic.
Coturic
Subgroup: 2.3.7.13.19.43
Comma list: 9633/9632
| [⟨ | 1 | 1 | 2 | 3 | 4 | 4 | ], |
| ⟨ | 0 | 1 | 0 | 0 | 0 | 1 | ], |
| ⟨ | 0 | 0 | 1 | 0 | 0 | -1 | ], |
| ⟨ | 0 | 0 | 0 | 1 | 0 | 2 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 1 | 1 | ]] |
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.951, ~7/4 = 968.838, ~13/8 = 840.484, ~19/16 = 297.484
Optimal ET sequence: 7dh, 7, 9n, 10, 14, 17, 26nn, 27, 36, 63, 77, 113, 130, 207, 234, 270, 347, 477, 701, 795, 831, 908, 935, 1065, 1142, 1178, 1412, 2590, 6592, 9182
Badness (Sintel): 0.036
Etymology
This comma was named by Francium in 2025. It refers to 9633 Cotur, the asteroid, which in turn was named after Peter Cotur, a Belgian scientific journalist.