5797/5796
| Interval information |
thiwotwethusoloru negative 2nd
reduced
5797/5796, the bivojisma, is a 31-limit superparticular comma of about 0.30 cents.
Commatic relationships
This comma is the difference between the following superparticular pairs:
- 323/322 and 342/341
- 484/483 and 528/527
- 561/560 and 621/620
- 806/805 and 936/935
- 1054/1053 and 1288/1287
- 1105/1104 and 1365/1364
- 1496/1495 and 2016/2015
- 1519/1518 and 2058/2057
- 2431/2430 and 4186/4185
It can be factored into the following superparticular ratios:
- 5916/5915 and 288145/288144
- 5929/5928 and 260338/260337
- 6076/6075 and 126225/126224
- 6138/6137 and 104329/104328
- 7106/7105 and 31465/31464
- 7905/7904 and 21736/21735
- 7936/7935 and 21505/21504
- 11271/11270 and 11935/11934
Temperaments
Tempering out this comma in the full 31-limit leads to the rank-10 temperament bivojismic. Using the 2.3.7.11.17.23.31 subgroup leads to the rank-6 temperament bivojic.
Bivojic
Subgroup: 2.3.7.11.17.23.31
Comma list: 5797/5796
| [⟨ | 1 | 1 | 2 | 3 | 4 | 4 | 3 | ], |
| ⟨ | 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 = 701.971, ~7/4 = 968.852, ~11/8 = 551.279, ~17/16 = 104.901, ~23/16 = 628.341
Optimal ET sequence: 5i, 5g, 7dgik, 7, 9gik, 10i, 12ik, 14, 22i, 24ik, 24, 26, 27egi, 31k, 32, 41g, 41i, 46, 75ei, 77, 82, 89, 121ik, 130, 135, 207k, 265, 311, 328, 342, 436, 518, 607, 653, 701, 764, 1029, 1043, 1371, 1417, 1807, 2118, 2460, 4532, 4578, 5949k, 7756k
Badness (Sintel): 0.058
Etymology
This comma was named by Francium in 2025. It refers to 5797 Bivoj, the asteroid, which in turn was named after a Bivoj, a mythological Bohemian hero.