1036/1035
| Interval information |
thisotwethuzogu 2nd
reduced
(Shannon, [math]\sqrt{nd}[/math])
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:
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
| [⟨ | 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.