7225/7224
| Interval information |
fothusosoruyoyo unison
reduced
(Shannon, [math]\sqrt{nd}[/math])
7225/7224, the huntressisma, is a 43-limit superparticular comma of about 0.24 cents.
Commatic relationships
This comma is the difference between the following superparticular pairs:
It can be factored into the following superparticular ratios:
- 7425/7424 and 268192/268191
- 7905/7904 and 83980/83979
- 8092/8091 and 67425/67424
- 8625/8624 and 44506/44505
- 9633/9632 and 28900/28899
- 10450/10449 and 23409/23408
- 10693/10692 and 22275/22274
- 10880/10879 and 21505/21504
- 11271/11270 and 20125/20124
- 14365/14364 and 14535/14534
Temperaments
Tempering out this comma in the full 43-limit leads to the rank-13 temperament huntressismic. Using the 2.3.5.7.17.43 subgroup leads to the rank-5 temperament huntressic.
Huntressic
Subgroup: 2.3.5.7.17.43
Comma list: 7225/7224
| [⟨ | 1 | 1 | 2 | 2 | 4 | 6 | ], |
| ⟨ | 0 | 1 | 0 | 0 | 0 | -1 | ], |
| ⟨ | 0 | 0 | 1 | 0 | 0 | 2 | ], |
| ⟨ | 0 | 0 | 0 | 1 | 0 | -1 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 1 | 2 | ]] |
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.960, ~5/4 = 386.294, ~7/4 = 968.841, ~17/16 = 104.893
Optimal ET sequence: 4n, 7dgn, 8dn, 10, 12, 19gnn, 22, 31n, 38d, 39dgnn, 41n, 46, 53, 68, 72n, 99n, 111n, 118, 171, 410, 472, 593, 764, 1007, 1053, 1236, 1407, 1889, 2653, 3125, 3296, 7356, 9245g
Badness (Sintel): 0.078
Etymology
This comma was named by Francium in 2025. It refers to 7225 Huntress, the asteroid, which in turn was named after Wesley T. Huntress Jr., an American planetary cosmochemist and director of NASA space science programs during the 1990s.