7956/7955
| Interval information |
fothuthisusothogu unison
reduced
(Shannon, [math]\sqrt{nd}[/math])
7956/7955, the yajinisma, is a 43-limit superparticular comma of about 0.22 cents.
Commatic relationships
This comma is the difference between the following superparticular pairs:
- 216/215 and 222/221
- 408/407 and 430/429
- 646/645 and 703/702
- 1248/1247 and 1480/1479
- 1377/1376 and 1665/1664
- 2366/2365 and 3367/3366
- 2925/2924 and 4625/4624
It can be factored into the following superparticular ratios:
- 9504/9503 and 48841/48840
- 9633/9632 and 45696/45695
- 10880/10879 and 29601/29600
- 11271/11270 and 27048/27047
- 12376/12375 and 22275/22274
Temperaments
Tempering out this comma in the full 43-limit leads to the rank-13 temperament yajinismic. Using the 2.3.5.13.17.37.43 subgroup leads to the rank-6 temperament yajinic.
Yajinic
Subgroup: 2.3.5.13.17.37.43
Comma list: 7956/7955
| [⟨ | 1 | 1 | 2 | 3 | 4 | 5 | 4 | ], |
| ⟨ | 0 | 1 | 0 | 0 | 0 | 0 | 2 | ], |
| ⟨ | 0 | 0 | 1 | 0 | 0 | 0 | -1 | ], |
| ⟨ | 0 | 0 | 0 | 1 | 0 | 0 | 1 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 1 | 0 | 1 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 0 | 1 | -1 | ]] |
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.944, ~5/4 = 386.325, ~13/8 = 840.499, ~17/16 = 104.920, ~37/16 = 251.402
Optimal ET sequence: 5gn, 7fgn, 7g, 8n, 10n, 12l, 15gln, 19gl, 19, 24, 26, 27g, 31l, 34n, 50, 53, 65, 72n, 77, 106, 171, 277, 354, 460, 631, 711, 764, 882, 935, 1065, 1236, 1342, 1540n, 1612, 1646, 1817, 1966, 2426, 2901, 3361, 3783l, 3966, 4243, 6209l, 9570ln, 10452ln
Badness (Sintel): 0.053
Etymology
This comma was named by Francium in 2025. It refers to 7956 Yaji, the asteroid, which in turn was named after Kentaro Yaji, the director of the Kawabe Cosmic Park in the Wakayama prefecture.