584edo: Difference between revisions

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Created page with "{{Infobox ET}} {{EDO intro|584}}584et tempers out 48828125/48771072 and 67108864/66976875 in the 7-limit (hemiluna temperament), and 12005/11979, 131072/130977, 5632/5625, 537..."
 
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==Theory==
==Theory==
{{Harmonics in equal|584}}
{{Harmonics in equal|584}}
==Scales==
* [[Hemiluna14]]

Revision as of 14:17, 16 March 2023

← 583edo 584edo 585edo →
Prime factorization 23 × 73
Step size 2.05479 ¢ 
Fifth 342\584 (702.74 ¢) (→ 171\292)
Semitones (A1:m2) 58:42 (119.2 ¢ : 86.3 ¢)
Dual sharp fifth 342\584 (702.74 ¢) (→ 171\292)
Dual flat fifth 341\584 (700.685 ¢)
Dual major 2nd 99\584 (203.425 ¢)
Consistency limit 5
Distinct consistency limit 5

Template:EDO intro584et tempers out 48828125/48771072 and 67108864/66976875 in the 7-limit (hemiluna temperament), and 12005/11979, 131072/130977, 5632/5625, 537109375/536870912, 9453125/9437184, 160083/160000 and 391314/390625 in the 11-limit.

Theory

Approximation of odd harmonics in 584edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) +0.785 -0.012 -1.018 -0.485 -0.633 -0.117 +0.772 -0.161 +0.432 -0.233 +0.493
Relative (%) +38.2 -0.6 -49.5 -23.6 -30.8 -5.7 +37.6 -7.8 +21.0 -11.3 +24.0
Steps
(reduced)
926
(342)
1356
(188)
1639
(471)
1851
(99)
2020
(268)
2161
(409)
2282
(530)
2387
(51)
2481
(145)
2565
(229)
2642
(306)

Scales