142edo

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Revision as of 07:45, 29 June 2023 by FloraC (talk | contribs) (Cleanup and expansion)
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← 141edo 142edo 143edo →
Prime factorization 2 × 71
Step size 8.4507 ¢ 
Fifth 83\142 (701.408 ¢)
Semitones (A1:m2) 13:11 (109.9 ¢ : 92.96 ¢)
Consistency limit 9
Distinct consistency limit 9

Template:EDO intro

The equal temperament tempers out 1728/1715, 3136/3125, 16875/16807, 32805/32768, 176/175, 540/539 and 1375/1372. It is an excellent tuning for orwellismic, the rank-3 temperament tempering out 1728/1715, and a good one for the 11-limit extension also tempering out 176/175. It is also excellent for semisept, the 31 & 111 temperament tempering out 1728/1715 and 3136/3125 and the 53 & 89 temperament tempering out both 1728/1715 and 32805/32768.

Prime harmonics

Approximation of prime harmonics in 142edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 -0.55 +2.42 +3.01 -2.02 -3.91 -3.55 -1.74 -2.92 +1.41 -4.19
Relative (%) +0.0 -6.5 +28.6 +35.6 -23.9 -46.2 -42.0 -20.6 -34.6 +16.7 -49.6
Steps
(reduced)
142
(0)
225
(83)
330
(46)
399
(115)
491
(65)
525
(99)
580
(12)
603
(35)
642
(74)
690
(122)
703
(135)

Subsets and supersets

142edo has subset edos 2edo and 71edo.