2730edo: Difference between revisions
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{{EDO intro|2730}} | {{EDO intro|2730}} | ||
2730edo is consistent | 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. | 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 === | === Prime harmonics === | ||
{{Harmonics in equal|2730}} | |||
{{ | |||
=== Subsets and supersets === | === Subsets and supersets === | ||
Since 2730 factors into {{factorization|2730}}, 2730edo has subset edos {{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. | |||
2730edo has subset edos {{EDOs| | |||
Revision as of 10:16, 30 October 2023
| ← 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 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 (%) | +0.0 | +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.