9900edo
| ← 9899edo | 9900edo | 9901edo → |
9900edo is consistent in the 9-odd-limit and it is otherwise a good 2.3.5.7.17.29 subgroup system.
In the 7-limit, it is a septiruthenian system, setting 64/63 to 1\44, so that the septimal comma is 225 purdals. It is a member of the optimal ET sequence for the ruthenium temperament with an additional prescribed mapping for 5 in the 13-limit.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.0000 | -0.0156 | -0.0107 | +0.0226 | -0.0452 | -0.0428 | +0.0143 | -0.0585 | -0.0319 | -0.0014 | +0.0553 |
| Relative (%) | +0.0 | -12.9 | -8.8 | +18.6 | -37.3 | -35.3 | +11.8 | -48.2 | -26.3 | -1.2 | +45.7 | |
| Steps (reduced) |
9900 (0) |
15691 (5791) |
22987 (3187) |
27793 (7993) |
34248 (4548) |
36634 (6934) |
40466 (866) |
42054 (2454) |
44783 (5183) |
48094 (8494) |
49047 (9447) | |
Subsets and supersets
9900edo has subset edos 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 30, 33, 36, 44, 45, 50, 55, 60, 66, 75, 90, 99, 100, 110, 132, 150, 165, 180, 198, 220, 225, 275, 300, 330, 396, 450, 495, 550, 660, 825, 900, 990, 1100, 1650, 1980, 2475, 3300, 4950. Its abundancy index is around 2.42.
As an interval size measure, one step of 9900edo is known as the purdal.