547edo

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← 546edo 547edo 548edo →
Prime factorization 547 (prime)
Step size 2.19378 ¢ 
Fifth 320\547 (702.011 ¢)
Semitones (A1:m2) 52:41 (114.1 ¢ : 89.95 ¢)
Consistency limit 9
Distinct consistency limit 9

Template:EDO intro

547edo is a strong 5-limit system, tuning fortune, gammic, and vavoom temperaments. Past the 5-limit, good subgroups of choice include 2.3.5.13.17.31, or 2.3.5.77.29/23.

Prime harmonics

Approximation of prime harmonics in 547edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 +0.056 -0.208 +0.827 -0.678 -0.308 +0.346 +0.842 -0.852 -0.692 +0.120
Relative (%) +0.0 +2.6 -9.5 +37.7 -30.9 -14.1 +15.8 +38.4 -38.8 -31.6 +5.5
Steps
(reduced)
547
(0)
867
(320)
1270
(176)
1536
(442)
1892
(251)
2024
(383)
2236
(48)
2324
(136)
2474
(286)
2657
(469)
2710
(522)

Subsets and supersets

547edo is the 101st prime edo. 1641edo, which divides edostep in 33, corrects the mapping for the 11-limit.