6930/6929
| Interval information |
fowuthuthulozoyo unison
reduced
(Shannon, [math]\sqrt{nd}[/math])
6930/6929, the bedanisma, is a 41-limit superparticular comma of about 0.25 cents.
Commatic relationships
This comma is the difference between the following superparticular pairs:
- 165/164 and 169/168
- 616/615 and 676/675
- 1353/1352 and 1681/1680
- 1600/1599 and 2080/2079
- 2625/2624 and 4225/4224
It can be factored into the following superparticular ratios:
- 7176/7175 and 202125/202124
- 7425/7424 and 103936/103935
- 10648/10647 and 19845/19844
- 11440/11439 and 17577/17576
- 11935/11934 and 16524/16523
Temperaments
Tempering out this comma in the full 41-limit leads to the rank-12 temperament bedanismic. Using the 2.3.5.7.11.13.41 subgroup leads to the rank-6 temperament bedanic.
Bedanic
Subgroup: 2.3.5.7.11.13.41
Comma list: 6930/6929
| [⟨ | 1 | 1 | 2 | 2 | 3 | 3 | 4 | ], |
| ⟨ | 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 | -2 | ]] |
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.944, ~5/4 = 386.302, ~7/4 = 968.809, ~11/8 = 551.293, ~13/8 = 840.585
Optimal ET sequence: 5e, 7m, 8dmm, 9, 10, 12f, 14cf, 15, 16m, 17cm, 19em, 24m, 24d, 26, 29, 34dm, 38dfm, 41m, 45efmm, 46m, 49f, 53, 58, 72, 87, 111, 121m, 130m, 140, 183m, 190m, 198, 224, 270, 311, 373, 422, 441, 460, 494, 684m, 805, 814, 954, 1178, 1236, 1506m, 1730, 1817, 2190, 4007, 5185, 6110, 6197, 6691m, 8881m
Badness (Sintel): 0.191
Etymology
This comma was named by Francium in 2025. It refers to the postal code of Bedano, Switzerland.