147edo: Difference between revisions

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prime harmonics
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147 = [[3edo|3]] * [[7edo|7]]<span style="vertical-align: super;">2</span>, with divisors 3, 7, [[21edo|21]] and [[49edo|49]].
147 = [[3edo|3]] * [[7edo|7]]<span style="vertical-align: super;">2</span>, with divisors 3, 7, [[21edo|21]] and [[49edo|49]].
{{primes in edo|147|columns=10|start=2}}


== Scales ==
== Scales ==

Revision as of 07:37, 6 November 2022

← 146edo 147edo 148edo →
Prime factorization 3 × 72
Step size 8.16327 ¢ 
Fifth 86\147 (702.041 ¢)
(semiconvergent)
Semitones (A1:m2) 14:11 (114.3 ¢ : 89.8 ¢)
Consistency limit 5
Distinct consistency limit 5

147edo is the equal division of the octave into 147 parts of 8.1633 cents each. It tempers out 32805/32768 in the 5-limit; 225/224 and 3125/3087 in the 7-limit; 243/242 in the 11-limit; 364/363 in the 13-limit; 442/441 and 595/594 in the 17-limit. It is the optimal patent val for the 11-limit 41&106 temperament.

147 = 3 * 72, with divisors 3, 7, 21 and 49.

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Scales