283edo: Difference between revisions

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283edo is the 61st [[prime EDO]].
283edo is the 61st [[prime EDO]].
== Harmonics ==
{{Harmonics in equal|283}}


[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
[[Category:Prime EDO]]
[[Category:Prime EDO]]
[[Category:Nano]]
[[Category:Nano]]

Revision as of 01:46, 24 June 2023

← 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.

Harmonics

Approximation of odd harmonics in 283edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) +1.93 -0.45 -2.04 -0.38 -0.08 -0.95 +1.48 +1.05 -0.69 -0.11 -0.71
Relative (%) +45.6 -10.6 -48.1 -8.9 -1.9 -22.4 +35.0 +24.8 -16.3 -2.6 -16.8
Steps
(reduced)
449
(166)
657
(91)
794
(228)
897
(48)
979
(130)
1047
(198)
1106
(257)
1157
(25)
1202
(70)
1243
(111)
1280
(148)