3146/3145
| Interval information |
thisusutholologu negative 2nd
reduced
(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])
3146/3145, the datonisma, is a 37-limit superparticular comma of about 0.55 cents.
Commatic relationships
This comma is the difference between the following superparticular pairs:
It can be factored into the following superparticular ratios:
- 3220/3219 and 136851/136850
- 3256/3255 and 93093/93092
- 3367/3366 and 47916/47915
- 3520/3519 and 29601/29600
- 3553/3552 and 27456/27455
- 3627/3626 and 23716/23715
- 3751/3750 and 19500/19499
Temperaments
Tempering out this comma in the full 37-limit leads to the rank-11 temperament datonismic. Using the 2.5.11.13.17.37 subgroup leads to the rank-5 temperament datonic.
Datonic
Subgroup: 2.5.11.13.17.37
Comma list: 3146/3145
| [⟨ | 1 | 2 | 3 | 3 | 4 | 4 | ], |
| ⟨ | 0 | 1 | 0 | 0 | 0 | -1 | ], |
| ⟨ | 0 | 0 | 1 | 0 | 0 | 2 | ], |
| ⟨ | 0 | 0 | 0 | 1 | 0 | 1 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 1 | -1 | ]] |
Optimal tuning (CTE): ~2 = 1\1, ~5/4 = 386.340, ~11/8 = 551.199, ~13/8 = 840.460, ~17/16 = 105.038
Optimal ET sequence: 5egl, 6, 7, 8cefgl, 8, 12, 12fg, 13, 16, 21l, 28g, 34l, 35f, 37, 43, 56, 59, 80, 81, 87, 96, 100, 103l, 108g, 116, 124, 196, 261, 320, 444, 764, 1025, 1041, 1165, 1485, 1826l, 1842, 1966, 2286, 2867, 2991l
Badness (Sintel): 0.039
Etymology
This comma was named by Francium in 2025. It refers to 3146 Dato, the asteroid, which in turn was named after Dato Kratsashvili, a Georgian painter.