3627/3626
| Interval information |
thisuthiwothoruru negative 3rd
reduced
(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])
3627/3626, the sayersisma, is a 37-limit superparticular comma of about 0.48 cents.
Commatic relationships
This comma is the difference between the following superparticular pairs:
- 186/185 and 196/195
- 260/259 and 280/279
- 589/588 and 703/702
- 741/740 and 931/930
- 806/805 and 1036/1035
- 1296/1295 and 2016/2015
It can be factored into the following superparticular ratios:
- 3774/3773 and 93093/93092
- 4901/4900 and 13950/13949
- 5440/5439 and 10881/10880
Temperaments
Tempering out this comma in the full 37-limit leads to the rank-11 temperament sayersismic. Using the 2.3.7.13.31.37 subgroup leads to the rank-5 temperament sayersic.
Sayersic
Subgroup: 2.3.7.13.31.37
Comma list: 3627/3626
| [⟨ | 1 | 1 | 2 | 3 | 4 | 4 | ], |
| ⟨ | 0 | 1 | 0 | 0 | 0 | 2 | ], |
| ⟨ | 0 | 0 | 1 | 0 | 0 | -2 | ], |
| ⟨ | 0 | 0 | 0 | 1 | 0 | 1 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 1 | 1 | ]] |
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.933, ~7/4 = 968.896, ~13/8 = 840.467, ~31/16 = 1144.926
Optimal ET sequence: 5f, 7, 8d, 9kl, 10k, 12fk, 14fl, 14, 17l, 17k, 19, 26, 27, 36l, 53, 63, 67, 75, 77, 94, 130, 224, 301, 328, 383, 458, 477, 607, 1308, 1542, 1636, 2243, 5951l
Badness (Sintel): 0.046
Etymology
This comma was named by Francium in 2025. It refers to 3627 Sayers, the asteroid, which in turn was named after Dorothy L. Sayers, a British author.