4921/4920
| Interval information |
fowuthisonozogu 3rd
reduced
(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])
4921/4920, the volontisma, is a 41-limit superparticular comma of about 0.35 cents.
Commatic relationships
This comma is the difference between the following superparticular pairs:
- 247/246 and 260/259
- 370/369 and 400/399
- 616/615 and 704/703
- 1026/1025 and 1296/1295
- 1805/1804 and 2850/2849
It can be factored into the following superparticular ratios:
- 5985/5984 and 27676/27675
- 6561/6560 and 19684/19683
- 9361/9360 and 10374/10373
- 9472/9471 and 10241/10240
Temperaments
Tempering out this comma in the full 41-limit leads to the rank-12 temperament volontismic. Using the 2.3.5.7.19.37.41 subgroup leads to the rank-6 temperament volontic.
Volontic
Subgroup: 2.3.5.7.19.37.41
Comma list: 4921/4920
| [⟨ | 1 | 1 | 2 | 2 | 4 | 5 | 5 | ], |
| ⟨ | 0 | 1 | 0 | 0 | 0 | 0 | -1 | ], |
| ⟨ | 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 = 701.965, ~5/4 = 386.335, ~7/4 = 968.795, ~19/16 = 297.442, ~37/32 = 251.238
Optimal ET sequence: 5h, 7dm, 7, 8d, 8dhhmm, 9, 10m, 12l, 12m, 19hm, 19, 22, 26, 27, 41lm, 50m, 53, 80, 99m, 130, 140, 149, 152m, 171, 202, 270, 311, 460, 472, 513, 783, 1296, 1323, 1376, 1578l, 1795, 1848, 2361l, 3144l, 4007, 4209hl, 4520hl, 4619, 4992hl, 5532hl, 6315hl, 6368hl
Badness (Sintel): 0.087
Music
- Void Demon - Francium (2025)
Etymology
This comma was named by Francium in 2025. It refers to 4921 Volonté, the asteroid, which in turn was named after Gian Maria Volonté, an Italian actor.