1547edo

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1547edo

1548edo →

Prime factorization	7 × 13 × 17
Step size	0.775695 ¢
Fifth	905\1547 (702.004 ¢)
Semitones (A1:m2)	147:116 (114 ¢ : 89.98 ¢)
Consistency limit	15
Distinct consistency limit	15

Theory

Approximation of prime harmonics in 1547edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	+0.049	-0.018	+0.017	+0.201	+0.326	-0.237	+0.354	+0.039	-0.230	-0.110
	Relative (%)	+0.0	+6.3	-2.3	+2.2	+25.9	+42.0	-30.5	+45.6	+5.0	-29.7	-14.2
Steps (reduced)		1547 (0)	2452 (905)	3592 (498)	4343 (1249)	5352 (711)	5725 (1084)	6323 (135)	6572 (384)	6998 (810)	7515 (1327)	7664 (1476)

1547edo is excellent in the 7-limit.

In the 5-limit, it supports gross.

In the 7-limit, it supports semidimi and brahmagupta.

In the 17-limit, it supports 91th-octave temperament protactinium.

1547's divisors are 1, 7, 13, 17, 91, 119, 221.

Regular temperament properties

Rank-2 temperaments by generator

Table of rank-2 temperaments by generator

Periods per octave	Generator (reduced)	Cents (reduced)	Associated ratio	Temperaments
1	118\1547	91.532	[9 -32 18>	Gross
1	579\1547	449.127	35/27	Semidimi
7	670\1547 (7\1547)	519.715 (5.429)	27/20 (325/324)	Brahmagupta
91	905\1547 (4\1547)	702.003 (3.103)	3/2 (?)	Protactinium