4060/4059
| Interval information |
fowutwenoluzoyo 2nd
reduced
(Shannon, [math]\sqrt{nd}[/math])
4060/4059, the deipylosisma, is a 41-limit superparticular comma of about 0.43 cents.
Commatic relationships
This comma is the difference between the following superparticular pairs:
- 232/231 and 246/245
- 406/405 and 451/450
- 616/615 and 726/725
- 1189/1188 and 1681/1680
- 1190/1189 and 1683/1682
- 1450/1449 and 2255/2254
- 1600/1599 and 2640/2639
- 1805/1804 and 3249/3248
It can be factored into the following superparticular ratios:
- 4096/4095 and 461825/461824
- 4186/4185 and 134850/134849
- 4200/4199 and 121771/121770
- 4225/4224 and 103936/103935
- 4375/4374 and 56376/56375
- 4675/4674 and 30856/30855
- 5104/5103 and 19845/19844
- 6293/6292 and 11440/11439
- 6670/6669 and 10374/10373
- 6930/6929 and 9802/9801
- 7105/7104 and 9472/9471
Temperaments
Tempering out this comma in the full 41-limit leads to the rank-12 temperament deipylosismic. Using the 2.3.5.7.11.29.41 subgroup leads to the rank-6 temperament deipylosic.
Deipylosic
Subgroup: 2.3.5.7.11.29.41
Comma list: 4060/4059
| [⟨ | 1 | 1 | 2 | 2 | 3 | 4 | 5 | ], |
| ⟨ | 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 = 701.979, ~5/4 = 386.287, ~7/4 = 968.788, ~11/8 = 551.376, ~29/16 = 1029.462
Optimal ET sequence: 5, 7djjmmm, 7dm, 8d, 8djjmm, 9j, 12de, 12, 12jm, 14cjjmm, 15, 17cm, 19m, 22, 31j, 41m, 53, 58, 72, 80, 111, 113, 118, 183m, 193, 198, 224, 270, 311, 342, 494, 612, 836, 1205, 1323, 1475m, 1619, 1699m, 1737, 1817, 3976, 4448m, 4470m, 5865m
Badness (Sintel): 0.111
Etymology
This comma was named by Francium in 2025. It refers to 4060 Deipylos, the asteroid, which in turn was named after Deipylos, a mythical Greek hero.