1036/1035

Interval information

Ratio	1036/1035
Subgroup monzo	2.3.5.7.23.37 [2 -2 -1 1 -1 1⟩
Size in cents	1.671882 ¢
Name	ganymedisma
Color name	37o23uzg2 thisotwethuzogu 2nd
FJS name	[math]\displaystyle{ \text{d2}^{7,37}_{5,23} }[/math]
Special properties	superparticular, reduced
Tenney norm (log2 nd)	20.0322
Weil norm (log2 max(n, d))	20.0336
Wilson norm (sopfr(nd))	82
Comma size	unnoticeable
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1036/1035, the ganymedisma, is a 37-limit superparticular comma of about 1.7 cents.

Commatic relationships

This comma is the difference between the following superparticular pairs:

• 70/69 and 75/74
• 185/184 and 225/224
• 208/207 and 260/259
• 231/230 and 297/296
• 481/480 and 897/896

It can be factored into the following superparticular intervals:

• 1045/1044 and 120176/120175
• 1054/1053 and 60606/60605
• 1105/1104 and 16576/16575
• 1184/1183 and 8281/8280
• 1197/1196 and 7696/7695
• 1216/1215 and 6993/6992
• 1288/1287 and 5291/5290
• 1369/1368 and 4256/4255
• 1450/1449 and 3626/3625
• 1480/1479 and 3451/3450
• 1496/1495 and 3367/3366
• 1519/1518 and 3256/3255
• 1666/1665 and 2738/2737
• 1702/1701 and 2646/2645
• 2002/2001 and 2146/2145

Temperaments

Tempering out this comma in the full 37-limit leads to the rank-11 temperament ganymedismic. Using the 2.3.5.7.23.37 subgroup leads to the rank-5 temperament ganymedic.

Ganymedic

Subgroup: 2.3.5.7.23.37

Comma list: 1036/1035

Mapping:

[⟨	1	1	2	2	4	4	],
⟨	0	1	0	0	0	2	],
⟨	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 = 702.073, ~5/4 = 386.441, ~7/4 = 968.640, ~23/16 = 628.757

Optimal ET sequence: 5l, 7di, 8dill, 9il, 9, 10, 12i, 15l, 17c, 19il, 19, 22, 27, 31, 41l, 46, 53, 72, 77, 80, 94l, 99, 212, 229, 282, 289l, 301, 311, 342l, 410, 441, 540, 981

Badness (Sintel): 0.114

Etymology

This comma was named by Francium in 2025. It refers to 1036 Ganymed, the asteroid, which in turn was named after a mythological cupbearer.

See also

• Unnoticeable comma
• List of superparticular intervals