2730edo
| ← 2729edo | 2730edo | 2731edo → |
2730 equal divisions of the octave (2730edo), or 2730-tone equal temperament (2730tet), 2730 equal temperament (2730et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 2730 equal parts of about 0.44 ¢ each.
2730edo is consistent to the 21-odd-limit.
In the 5-limit, it tunes the 13th-octave temperament aluminium and raider. In the 7-limit, it tunes 30th-octave zinc and 21st-octave akjayland. It is a tuning for the 35th-octave bromine temperament in the 17-limit and the 91st-octave protactinium temperament in the 13-limit in the 2730ef val.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | +0.000 | +0.023 | +0.060 | -0.035 | -0.109 | -0.088 | +0.100 | +0.069 | -0.142 | -0.127 | +0.019 |
| relative (%) | +0 | +5 | +14 | -8 | -25 | -20 | +23 | +16 | -32 | -29 | +4 | |
| Steps (reduced) |
2730 (0) |
4327 (1597) |
6339 (879) |
7664 (2204) |
9444 (1254) |
10102 (1912) |
11159 (239) |
11597 (677) |
12349 (1429) |
13262 (2342) |
13525 (2605) | |
Subsets and supersets
Since 2730 factors into 2 × 3 × 5 × 7 × 13, 2730edo has subset edos 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 30, 35, 39, 42, 65, 70, 78, 91, 105, 130, 182, 195, 210, 273, 390, 455, 546, 910, and 1365. Its abundancy index is around 1.95.