7105/7104
| Interval information |
thisutwenozozoyo unison
reduced
(Shannon, [math]\sqrt{nd}[/math])
7105/7104, the yousyozanisma, is a 37-limit superparticular comma of about 0.24 cents.
Commatic relationships
This comma is the difference between the following superparticular pairs:
- 145/144 and 148/147
- 385/384 and 407/406
- 1225/1224 and 1480/1479
- 1666/1665 and 2176/2175
- 1925/1924 and 2640/2639
- 2465/2464 and 3774/3773
- 3220/3219 and 5888/5887
It can be factored into the following superparticular intervals:
- 7106/7105 and 50481025/50481024
- 7425/7424 and 164836/164835
- 7889/7888 and 71485/71484
- 8281/8280 and 50025/50024
- 9177/9176 and 31465/31464
- 9251/9250 and 30625/30624
- 10241/10240 and 23200/23199
- 12673/12672 and 16170/16169
Temperaments
Tempering out this comma in the full 37-limit leads to the rank-11 temperament yousyozanismic. Using the 2.3.5.7.29.37 subgroup leads to the rank-5 temperament yousyozanic.
Yousyozanic
Subgroup: 2.3.5.7.29.37
Comma list: 7105/7104
| [⟨ | 1 | 1 | 2 | 2 | 4 | 3 | ], |
| ⟨ | 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 = 701.962, ~5/4 = 386.299, ~7/4 = 968.783, ~29/16 = 1029.513
Optimal ET sequence: 5, 7l, 9jl, 9, 10, 12, 15, 19l, 22, 31j, 41l, 53, 68jl, 72, 99, 171, 202, 224, 270, 301, 410, 441, 472, 513, 612, 1106, 1308, 1407, 1448, 1619, 1718, 2330, 2631, 3414, 3638, 4250, 7987j, 8599j
Badness (Sintel): 0.057
Etymology
This comma was named by Francium in 2025. It refers to 7105 Yousyozan, the asteroid, which in turn was named after a mountain in Japan.