2730edo

← 2729edo

2730edo

2731edo →

Prime factorization	2 × 3 × 5 × 7 × 13
Step size	0.43956 ¢
Fifth	1597\2730 (701.978 ¢)
Semitones (A1:m2)	259:205 (113.8 ¢ : 90.11 ¢)
Consistency limit	21
Distinct consistency limit	21

2730edo is consistent in 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

Approximation of prime harmonics in 2730edo

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

2730edo has subset edos 1, 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, 1365. Its abundancy index is around 1.95.