925/924

Interval information
Ratio	925/924
Subgroup monzo	2.3.5.7.11.37 [-2 -1 2 -1 -1 1⟩
Size in cents	1.872617 ¢
Name	alphonsinisma
Color name	37o1uryy1 ; thisoluruyoyo unison
FJS name	[math]\displaystyle{ \text{d}{-2}^{5,5,37}_{7,11} }[/math]
Special properties	superparticular,; reduced
Tenney norm (log2 nd)	19.7051
Weil norm (log2 max(n, d))	19.7066
Wilson norm (sopfr(nd))	72
Comma size	unnoticeable
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925/924, the alphonsinisma, is a 37-limit superparticular comma of about 1.9 cents.

Commatic relationships

This comma is the difference between the following superparticular pairs:

It can be factored into the following superparticular intervals:

Temperaments

Tempering out this comma in the full 37-limit leads to the rank-11 temperament alphonsinismic. Using the 2.3.5.7.11.37 subgroup leads to the rank-5 temperament alphonsinic.

Alphonsinismic

Subgroup: 2.3.5.7.11.13.17.19.23.29.31.37

Comma list: 925/924

Mapping:

[⟨	1	1	2	2	3	3	4	4	4	4	4	4	],
⟨	0	1	0	0	0	0	0	0	0	0	0	1	],
⟨	0	0	1	0	0	0	0	0	0	0	0	-2	],
⟨	0	0	0	1	0	0	0	0	0	0	0	1	],
⟨	0	0	0	0	1	0	0	0	0	0	0	1	],
⟨	0	0	0	0	0	1	0	0	0	0	0	0	],
⟨	0	0	0	0	0	0	1	0	0	0	0	0	],
⟨	0	0	0	0	0	0	0	1	0	0	0	0	],
⟨	0	0	0	0	0	0	0	0	1	0	0	0	],
⟨	0	0	0	0	0	0	0	0	0	1	0	0	],
⟨	0	0	0	0	0	0	0	0	0	0	1	0	]]

Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.021, ~5/4 = 386.030, ~7/4 = 969.034, ~11/8 = 551.633, ~13/8 = 840.528, ~17/16 = 104.955, ~19/16 = 297.513, ~23/16 = 628.274, ~29/16 = 1029.577, ~31/16 = 1145.036

Alphonsinic

Subgroup: 2.3.5.7.11.37

Comma list: 925/924

Mapping:

[⟨	1	1	2	2	3	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, ~3/2 = 702.021, ~5/4 = 386.030, ~7/4 = 969.034, ~11/8 = 551.633

Optimal ET sequence: 7d, 8d, 9l, 10e, 12el, 12, 15, 19el, 19, 22, 27e, 31, 41, 50, 53, 60el, 72, 130, 152, 224, 311, 342l, 463, 494, 566l, 805l, 877l

Etymology

This comma was named by Francium in 2025. It refers to 925 Alphonsina, the asteroid, which in turn was named after two Spanish kings.