9472/9471
| Interval information |
fowuthisoluru 2nd
reduced
(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])
9472/9471, the brugesisma, is a 41-limit superparticular comma of about 0.18 cents.
Commatic relationships
This comma is the difference between the following superparticular pairs:
- 288/287 and 297/296
- 370/369 and 385/384
- 925/924 and 1025/1024
- 1600/1599 and 1925/1924
- 2584/2583 and 3553/3552
- 4060/4059 and 7105/7104
It can be factored into the following superparticular ratios:
- 10374/10373 and 108928/108927
- 10693/10692 and 82944/82943
- 11440/11439 and 55056/55055
- 11914/11913 and 46208/46207
- 12321/12320 and 40960/40959
- 14400/14399 and 27676/27675
Temperaments
Tempering out this comma in the full 41-limit leads to the rank-12 temperament brugesismic. Using the 2.3.7.11.37.41 subgroup leads to the rank-5 temperament brugesic.
Brugesic
Subgroup: 2.3.7.11.37.41
Comma list: 9472/9471
| [⟨ | 1 | 1 | 2 | 3 | 5 | 7 | ], |
| ⟨ | 0 | 1 | 0 | 0 | 0 | -1 | ], |
| ⟨ | 0 | 0 | 1 | 0 | 0 | -1 | ], |
| ⟨ | 0 | 0 | 0 | 1 | 0 | -1 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 1 | 1 | ]] |
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.961, ~7/4 = 968.844, ~11/8 = 551.346, ~37/32 = 251.281
Optimal ET sequence: 5, 9l, 10l, 12, 14l, 15, 17, 22, 31, 41, 48, 58l, 63l, 72, 89, 135, 176, 207, 224, 311, 383, 400, 607, 629, 805, 836, 1012, 1641, 1848, 2248, 2788, 3084, 3395, 3624, 4024, 4231, 4860, 5036, 5872
Badness (Sintel): 0.035
Etymology
This comma was named by Francium in 2025. It refers to 9472 Bruges, the asteroid, which in turn was named after Bruges, Belgium