142edo: Difference between revisions

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{{Infobox ET}}
'''142edo''' divides the octave into 142 equal parts, each of size 8.45 cents. It tempers out 1728/1715, 3136/3125, 16875/16807, [[32805/32768]], [[176/175]], 540/539 and 1375/1372. It is an excellent tuning for the 7-limit rank three temperament tempering out 1728/1715 and a good one for the 11-limit temperament 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.
'''142edo''' divides the octave into 142 equal parts, each of size 8.45 cents. It tempers out 1728/1715, 3136/3125, 16875/16807, [[32805/32768]], [[176/175]], 540/539 and 1375/1372. It is an excellent tuning for the 7-limit rank three temperament tempering out 1728/1715 and a good one for the 11-limit temperament 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.


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Revision as of 19:06, 4 October 2022

← 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

142edo divides the octave into 142 equal parts, each of size 8.45 cents. It tempers out 1728/1715, 3136/3125, 16875/16807, 32805/32768, 176/175, 540/539 and 1375/1372. It is an excellent tuning for the 7-limit rank three temperament tempering out 1728/1715 and a good one for the 11-limit temperament 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.