347edo

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Revision as of 07:01, 15 November 2023 by FloraC (talk | contribs) (Adopt template: EDO intro; +prime error table; +subsets and supersets; -redundant categories)
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← 346edo 347edo 348edo →
Prime factorization 347 (prime)
Step size 3.45821 ¢ 
Fifth 203\347 (702.017 ¢)
Semitones (A1:m2) 33:26 (114.1 ¢ : 89.91 ¢)
Consistency limit 9
Distinct consistency limit 9

Template:EDO intro

The equal temperament tempers out 3136/3125 and 420175/419904 in the 7-limit, and provides an excellent tuning for sengagen, the 99 & 248 temperament tempering out both, and the planar hemimean temperament tempering out 3136/3125.

Prime harmonics

Approximation of prime harmonics in 347edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 +0.06 +1.01 -0.53 -1.46 -0.18 -1.21 -0.11 +1.12 +0.97 -0.37
Relative (%) +0.0 +1.8 +29.1 -15.2 -42.3 -5.3 -35.0 -3.1 +32.4 +28.1 -10.6
Steps
(reduced)
347
(0)
550
(203)
806
(112)
974
(280)
1200
(159)
1284
(243)
1418
(30)
1474
(86)
1570
(182)
1686
(298)
1719
(331)

Subsets and supersets

347edo is the 69th prime edo.