8736edo
| ← 8735edo | 8736edo | 8737edo → |
8736edo is an excellent 2.7.13.17 subgroup tuning. It also excellently represents such intervals as 53/49, 47/38.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.0319 | -0.0500 | -0.0072 | -0.0638 | +0.0557 | -0.0057 | +0.0555 | -0.0104 | +0.0145 | -0.0391 | +0.0224 |
| Relative (%) | -23.2 | -36.4 | -5.3 | -46.5 | +40.5 | -4.1 | +40.4 | -7.5 | +10.5 | -28.5 | +16.3 | |
| Steps (reduced) |
13846 (5110) |
20284 (2812) |
24525 (7053) |
27692 (1484) |
30222 (4014) |
32327 (6119) |
34131 (7923) |
35708 (764) |
37110 (2166) |
38371 (3427) |
39518 (4574) | |
Subsets and supersets
Since 8736 factors as 25 × 3 × 7 × 13, 8736edo has subset edos 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 32, 39, 42, 48, 52, 56, 78, 84, 91, 96, 104, 112, 156, 168, 182, 208, 224, 273, 312, 336, 364, 416, 546, 624, 672, 728, 1092, 1248, 1456, 2184, 2912, 4368.
Its abundancy index is 29/16 = 2.23, which means 8736edo has strong potential with regards to polymicrotonality. Some notable divisors are 12, 84, 91, 224, 364, 624.