1333/1332
| Interval information |
fothothisuthiwo negative 2nd
reduced
(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])
1333/1332, the cevenolisma, is a 43-limit superparticular comma of about 1.3 cents.
Commatic relationships
This comma is the difference between the following superparticular pairs:
It can be factored into the following superparticular ratios:
- 1369/1368 and 50654/50653
- 1426/1425 and 20425/20424
- 1444/1443 and 17329/17328
- 1519/1518 and 10879/10878
- 1666/1665 and 6665/6664
- 1849/1848 and 4774/4773
Temperaments
Tempering out this comma in the full 43-limit leads to the rank-13 temperament cevenolismic. Using the 2.3.31.37.43 subgroup leads to the rank-4 temperament cevenolic.
Cevenolic
Subgroup: 2.3.31.37.43
Comma list: 1333/1332
| [⟨ | 1 | 1 | 4 | 5 | 5 | ], |
| ⟨ | 0 | 1 | 0 | 0 | 2 | ], |
| ⟨ | 0 | 0 | 1 | 0 | -1 | ], |
| ⟨ | 0 | 0 | 0 | 1 | 1 | ]] |
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.027, ~31/16 = 1144.686, ~37/32 = 251.731
Optimal ET sequence: 5, 10ln, 12l, 17l, 19, 24, 46, 65, 70, 101, 106, 171, 176, 282, 301, 453, 629, 930, 1106, 1212n
Badness (Sintel): 0.020
Etymology
This comma was named by Francium in 2025. It refers to 1333 Cevenola, the asteroid, which in turn was named after the Cévennes, a mountainous region in France.