2925/2924
| Interval information |
fothusuthoyoyo negative 2nd
reduced
(Shannon, [math]\sqrt{nd}[/math])
2925/2924, the beattisma, is a 43-limit superparticular comma of about 0.59 cents.
Commatic relationships
This comma is the difference between the following superparticular pairs:
It can be factored into the following superparticular ratios:
- 2926/2925 and 8555625/8555624
- 2945/2944 and 430560/430559
- 2976/2975 and 170625/170624
- 3025/3024 and 88452/88451
- 3250/3249 and 29241/29240
- 3312/3311 and 25025/25024
- 3510/3509 and 17545/17544
- 4200/4199 and 9633/9632
- 4225/4224 and 9504/9503
- 4625/4624 and 7956/7955
- 4914/4913 and 7225/7224
- 5720/5719 and 5985/5984
Temperaments
Tempering out this comma in the full 43-limit leads to the rank-13 temperament beattismic. Using the 2.3.5.13.17.43 subgroup leads to the rank-5 temperament beattic.
Beattic
Subgroup: 2.3.5.13.17.43
Comma list: 2925/2924
| [⟨ | 1 | 1 | 2 | 3 | 4 | 3 | ], |
| ⟨ | 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 = 701.922, ~5/4 = 386.244, ~13/8 = 840.439, ~17/16 = 105.064
Optimal ET sequence: 5gn, 7fgn, 7g, 10, 12, 15gn, 19g, 24n, 26nn, 27g, 29g, 31, 34n, 60n, 65, 72n, 77, 87, 106, 171, 183, 277, 354, 460, 764, 814, 901, 1178, 1361, 1395, 1942, 2296
Etymology
This comma was named by Francium in 2025. It refers to 2925 Beatty, the asteroid, which in turn was named after J. Kelly Beatty, an astronomy writer and editor of Sky & Telescope.