1547edo

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

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
91 905\1547
(4\1547)
702.003
(3.103)
3/2
(?)
Protactinium