5280edo

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5280edo

5281edo →

Prime factorization	25 × 3 × 5 × 11
Step size	0.227273 ¢
Fifth	3089\5280 (702.045 ¢)
Semitones (A1:m2)	503:395 (114.3 ¢ : 89.77 ¢)
Dual sharp fifth	3089\5280 (702.045 ¢)
Dual flat fifth	3088\5280 (701.818 ¢) (→ 193\330)
Dual major 2nd	897\5280 (203.864 ¢) (→ 299\1760)
Consistency limit	7
Distinct consistency limit	7

5280edo is consistent in the 7-odd-limit. On the patent val, it tempers out the comma [-103 -22 0 22 22⟩, which associates 77/48 to 15\22.

Odd harmonics

Approximation of odd harmonics in 5280edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	+0.0905	+0.0499	+0.0377	-0.0464	+0.0457	-0.0731	-0.0869	+0.0446	-0.0130	-0.0991	-0.0925
	Relative (%)	+39.8	+22.0	+16.6	-20.4	+20.1	-32.2	-38.2	+19.6	-5.7	-43.6	-40.7
Steps (reduced)		8369 (3089)	12260 (1700)	14823 (4263)	16737 (897)	18266 (2426)	19538 (3698)	20628 (4788)	21582 (462)	22429 (1309)	23191 (2071)	23884 (2764)

Subsets and supersets

Since 5280 factors as 2⁵ × 3 × 5 × 11, 5280edo has subset edos 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 220, 240, 264, 330, 352, 440, 480, 528, 660, 880, 1056, 1320, 1760, 2640.