6069/6068
| Interval information |
fowuthisusosozo 2nd
reduced
(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])
6069/6068, the cevolanisma, is a 41-limit superparticular comma of about 0.29 cents.
Commatic relationships
This comma is the difference between the following superparticular pairs:
It can be factored into the following superparticular ratios:
- 6076/6075 and 5267025/5267024
- 6561/6560 and 80920/80919
- 6930/6929 and 48841/48840
- 7105/7104 and 41616/41615
- 8092/8091 and 24273/24272
- 9177/9176 and 17918/17917
Temperaments
Tempering out this comma in the full 41-limit leads to the rank-12 temperament cevolanismic. Using the 2.3.7.17.37.41 subgroup leads to the rank-5 temperament cevolanic.
Cevolanic
Subgroup: 2.3.7.17.37.41
Comma list: 6069/6068
| [⟨ | 1 | 1 | 2 | 4 | 5 | 4 | ], |
| ⟨ | 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 = 701.950, ~7/4 = 968.809, ~17/16 = 104.884, ~37/32 = 251.402
Optimal ET sequence: 5m, 7gm, 7l, 9glmm, 9, 10, 17l, 17gm, 22, 36l, 48, 58, 82, 99m, 125, 130, 140, 147, 171, 207, 229, 378, 400, 607, 836, 1007, 1843, 1925, 2024, 2325, 2424, 3031, 4038, 4267, 4956, 5185, 5356, 6192g, 8216g, 8616g
Badness (Sintel): 0.042
Etymology
This comma was named by Francium in 2025. It refers to 6069 Cevolani, the asteroid, which in turn was named after Giordano Cevolani, an Italian geophysicist.