Sinachopoulosisma

Interval information

Ratio	11914/11913
Factorization	2 × 3-1 × 7 × 11-1 × 19-2 × 23 × 37
Monzo	[1 -1 0 1 -1 0 0 -2 1 0 0 1⟩
Size in cents	0.145317¢
Name	sinachopoulosisma
Color name	37o23o19uu1uz2 thisotwethonunuluzo 2nd
FJS name	[math]\text{d}{-2}^{7,23,37}_{11,19,19}[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	27.0806
Weil height (log2 max(n, d))	27.0807
Wilson height (sopfr(nd))	121
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.19841 bits
Comma size	unnoticeable
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11914/11913, the sinachopoulosisma, is a 37-limit superparticular comma of about 0.15 cents.

Commatic relationships

This comma is the difference between the following superparticular pairs:

• 1288/1287 and 1444/1443
• 3367/3366 and 4693/4692

It can be factored into following superparticular intervals:

• 12376/12375 and 319125/319124
• 12636/12635 and 208495/208494
• 12673/12672 and 198912/198911
• 13225/13224 and 120176/120175
• 13377/13376 and 108928/108927
• 14080/14079 and 77441/77440

Temperaments

Tempering out this comma in the full 37-limit leads to the rank-11 temperament sinachopoulosismic. Using the 2.3.7.11.19.23.37 subgroup leads to the rank-6 temperament sinachopoulosic.

Sinachopoulosismic

Subgroup: 2.3.5.7.11.13.17.19.23.29.31.37

Comma list: 11914/11913

Mapping:

[⟨	1	1	2	2	3	3	4	4	4	4	4	5	],
⟨	0	1	0	0	0	0	0	0	0	0	0	1	],
⟨	0	0	1	0	0	0	0	0	0	0	0	0	],
⟨	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	2	],
⟨	0	0	0	0	0	0	0	0	1	0	0	-1	],
⟨	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 = 701.958, ~5/4 = 386.314, ~7/4 = 968.818, ~11/8 = 551.330, ~13/8 = 840.528, ~17/16 = 104.955, ~19/16 = 297.550, ~23/16 = 628.253, ~29/16 = 1029.577, ~31/16 = 1145.036

Sinachopoulosic

Subgroup: 2.3.7.11.19.23.37

Comma list: 11914/11913

Mapping:

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

Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.958, ~7/4 = 968.818, ~11/8 = 551.330, ~19/16 = 297.550, ~23/16 = 628.253

Optimal ET sequence: 5i, 7dhi, 8dhhill, 9i, 10, 10hil, 12el, 12, 14l, 22h, 26i, 27ei, 29, 32, 36, 41, 46l, 48, 63l, 72, 77, 104i, 130, 152, 207, 311, 359, 436, 472, 540, 624, 653, 701, 908, 1012, 1920, 2231, 2460, 2653, 3291, 3665, 3872, 4884, 5243, 5944, 6956, 8175, 9344, 9816, 10356

Etymology

This comma was named by Francium in 2024. It refers to 11914 Sinachopoulos, the asteroid, which in turn was named after Dimitrios Sinachopoulos, an astrophysicist.

See also

• Unnoticeable comma
• List of superparticular intervals