584edo

← 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

• Hemiluna14

Music

• Are You From The Moon? by Francium