9472/9471

Interval information

Ratio	9472/9471
Subgroup monzo	2.3.7.11.37.41 [8 -1 -1 -1 1 -1⟩
Size in cents	0.1827835 ¢
Name	brugesisma
Color name	41u37o1ur2 fowuthisoluru 2nd
FJS name	[math]\displaystyle{ \text{P1}^{37}_{7,11,41} }[/math]
Special properties	superparticular, reduced
Tenney norm (log2 nd)	26.4188
Weil norm (log2 max(n, d))	26.4189
Wilson norm (sopfr(nd))	115
Comma size	unnoticeable
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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

Mapping:

[⟨	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

See also

• Unnoticeable comma
• List of superparticular intervals