15376/15375

Interval information

Ratio	15376/15375
Subgroup monzo	2.3.5.31.41 [4 -1 -3 2 -1⟩
Size in cents	0.1125969¢
Name	martakisma
Color name	41u31oog31 fowubithiwo-atrigu unison
FJS name	[math]\displaystyle{ \text{d1}^{31,31}_{5,5,5,41} }[/math]
Special properties	square superparticular, reduced
Tenney height (log2 nd)	27.8167
Weil height (log2 max(n, d))	27.8168
Wilson height (sopfr(nd))	129
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~1.19993 bits
Comma size	unnoticeable
S-expression	S124
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15376/15375, the martakisma, is a 41-limit superparticular comma of about 0.11 cents.

Commatic relationships

This comma is the difference between the following superparticular pairs:

• 124/123 and 125/124
• 961/960 and 1025/1024

It can be factored into the following superparticular ratios:

• 17836/17835 and 111476/111475
• 19251/19250 and 76384/76383

Temperaments

Tempering out this comma in the full 41-limit leads to the rank-12 temperament martakismic. Using the 2.3.5.31.41 subgroup leads to the rank-4 temperament martakic.

Martakic

Subgroup: 2.3.5.31.41

Comma list: 15376/15375

Mapping:

[⟨	1	1	2	4	5	],
⟨	0	1	0	0	-1	],
⟨	0	0	1	0	-3	],
⟨	0	0	0	1	2	]]

Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.957, ~5/4 = 386.324, ~31/16 = 1145.005

Optimal ET sequence: 7km, 12km, 15km, 19, 22, 34km, 41, 58k, 65, 84, 87, 106, 164k, 171, 441, 506, 612, 677, 783, 1118, 1289, 1460, 2665, 2836, 3342, 3448, 3513, 3954, 4125, 9539

Badness (Sintel): 0.017

Music

• You Are My Dear Fog Man - Francium (2025)

Etymology

This comma was named by Francium in 2025. It refers to 15376 Marták, the asteroid, which in turn was named after Ján Marták, a Slovak musician.

See also

• Unnoticeable comma
• List of superparticular intervals