73125/73117

Interval information

Ratio	73125/73117
Factorization	32 × 54 × 11-1 × 13 × 17-2 × 23-1
Monzo	[0 2 4 0 -1 1 -2 0 -1⟩
Size in cents	0.1894103¢
Name	galeaclolusisma
Color name	23u17uu3o1uy4-3 twethususutholuquadyo negative 3rd
FJS name	[math]\text{dd}{-2}^{5,5,5,5,13}_{11,17,17,23}[/math]
Special properties	reduced
Tenney height (log2 nd)	32.316
Weil height (log2 max(n, d))	32.3162
Wilson height (sopfr(nd))	107
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.19855 bits
Comma size	unnoticeable
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73125/73117, the galeaclolusisma, is a 23-limit (also 3.5.11.13.17.23 unnoticeable comma of about 0.19 cents.

Commatic relationships

This comma is the difference between the following intervals:

• 375/374 and 391/390
• 1496/1495 and 9000/8993

It can be factored into the following ratios:

• 11271/11270 and 918750/918731
• 14400/14399 and 25025/25024
• 202125/202124 and 1713660/1713481

Temperaments

Tempering out this comma in the full 23-limit leads to the rank-8 temperament galeaclolusisma. Using the 3.5.11.13.17.23 subgroup leads to the rank-5 temperament galeaclolusite.

Galeaclolusite

Subgroup: 3.5.11.13.17.23

Comma list: 73125/73117

Mapping:

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

Optimal tuning (CTE): ~3 = 1\1, ~5/3 = 884.338, ~11/9 = 347.419, ~13/9 = 636.605, ~17/9 = 1101.077

Optimal ET sequence: b6g, b8e, b11f, b16ei, b17fi, b17, b24, b25fgi, b26, b28, b43f, b46g, b52, b54, b71, b103f, b106i, b114, b131, b316, b368, b475, b499, b553, b684, b843, b974, b1282, b1396, b1413, b1527, b1658, b1966, b2097, b2940, b3624, b5037, b6564, b9635

Etymology

This comma was named by Francium in 2025. It refers to Galeaclolusite, the mineral.

See also

• Unnoticeable comma