283edo: Difference between revisions

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The '''283 equal temperament''' divides the [[octave]] into 283 equal parts of 4.2403 [[cent]]s each. It is closely associated with the sensamagic comma ([[245/243]]), defining the [[optimal patent val]] for the sensamagic [[7-limit]] [[planar temperament]] as well as [[sensa temperament]], which tempers out both 245/243 and 65625/65536 in the 7-limit, 385/384 and 4000/3993 in the [[11-limit]], and 352/351 and 625/624 in the [[13-limit]].
The '''283 equal temperament''' divides the [[octave]] into 283 equal parts of 4.2403 [[cent]]s each. It is closely associated with the sensamagic comma ([[245/243]]), defining the [[optimal patent val]] for the sensamagic [[7-limit]] [[planar temperament]] as well as [[sensa temperament]], which tempers out both 245/243 and 65625/65536 in the 7-limit, 385/384 and 4000/3993 in the [[11-limit]], and 352/351 and 625/624 in the [[13-limit]].



Revision as of 21:46, 4 October 2022

← 282edo 283edo 284edo →
Prime factorization 283 (prime)
Step size 4.24028 ¢ 
Fifth 166\283 (703.887 ¢)
Semitones (A1:m2) 30:19 (127.2 ¢ : 80.57 ¢)
Dual sharp fifth 166\283 (703.887 ¢)
Dual flat fifth 165\283 (699.647 ¢)
Dual major 2nd 48\283 (203.534 ¢)
Consistency limit 3
Distinct consistency limit 3

The 283 equal temperament divides the octave into 283 equal parts of 4.2403 cents each. It is closely associated with the sensamagic comma (245/243), defining the optimal patent val for the sensamagic 7-limit planar temperament as well as sensa temperament, which tempers out both 245/243 and 65625/65536 in the 7-limit, 385/384 and 4000/3993 in the 11-limit, and 352/351 and 625/624 in the 13-limit.

283edo is the 61st prime EDO.