2730edo: Difference between revisions
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2730edo is [[consistent]] to the [[21-odd-limit]]. | 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 | 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 7-limit. | ||
=== Prime harmonics === | === Prime harmonics === | ||
Revision as of 14:45, 19 March 2024
| ← 2729edo | 2730edo | 2731edo → |
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 7-limit.
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 (%) | +0.0 | +5.2 | +13.6 | -7.9 | -24.8 | -20.0 | +22.6 | +15.8 | -32.4 | -28.8 | +4.4 | |
| 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.