2850/2849
2850/2849, the mozhaiskisma, is a 37-limit superparticular comma of about 0.61 cents.
| Interval information |
thisunoluruyoyo negative 2nd
reduced
Commatic relationships
This comma is the difference between the following superparticular pairs:
- 260/259 and 286/285
- 408/407 and 476/475
- 760/759 and 1036/1035
- 925/924 and 1369/1368
- 1000/999 and 1540/1539
- 1296/1295 and 2376/2375
It can be factored into the following superparticular intervals:
- 2945/2944 and 88320/88319
- 3025/3024 and 49248/49247
- 3060/3059 and 41515/41514
- 3220/3219 and 24795/24794
- 3249/3248 and 23200/23199
- 3553/3552 and 14400/14399
- 4256/4255 and 8625/8624
- 5292/5291 and 6175/6174
- 5440/5439 and 5985/5984
- 5625/5624 and 5776/5775
Temperaments
Tempering out this comma in the full 37-limit leads to the rank-11 temperament mozhaiskismic. Using the 2.3.5.7.11.19.37 subgroup leads to the rank-6 temperament mozhaiskic.
Mozhaiskic
Subgroup: 2.3.5.7.11.19.37
Comma list: 2850/2849
| [⟨ | 1 | 1 | 2 | 2 | 3 | 4 | 5 | ], |
| ⟨ | 0 | 1 | 0 | 0 | 0 | 0 | 1 | ], |
| ⟨ | 0 | 0 | 1 | 0 | 0 | 0 | 2 | ], |
| ⟨ | 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 = 701.938, ~5/4 = 386.240, ~7/4 = 968.880, ~11/8 = 551.400, ~19/16 = 297.390
Optimal ET sequence: 6hl, 7dh, 8d, 9, 12l, 14cl, 15l, 19eh, 19, 22l, 22h, 27e, 31h, 39dl, 41l, 50, 53, 72, 99e, 103hl, 118, 130, 152, 255, 270, 311, 400, 422l, 472, 581, 624, 684h, 783, 836, 1308, 1730l, 1889, 2041l, 2877, 3349l
Badness (Sintel): 0.177
Etymology
This comma was named by Francium in 2025. It refers to 2850 Mozhaiskij, the asteroid, which in turn was named after Alexander Mozhaysky, a Russian aviation pioneer.