99693edo

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← 99692edo

99693edo

99694edo →

Prime factorization	32 × 11 × 19 × 53
Step size	0.012037 ¢
Fifth	58317\99693 (701.959 ¢) (→ 19439\33231)
Semitones (A1:m2)	9447:7494 (113.7 ¢ : 90.2 ¢)
Dual sharp fifth	58317\99693 (701.959 ¢) (→ 19439\33231)
Dual flat fifth	58316\99693 (701.947 ¢)
Dual major 2nd	16940\99693 (203.906 ¢) (→ 1540\9063)
Consistency limit	7
Distinct consistency limit	7

99693edo is notable for being the edo below 100000 with the lowest maximum error, using direct approximation for each harmonic, for the first 547 harmonics (547 being the 100th prime number).

Prime harmonics

Approximation of odd harmonics in 99693edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23	25	27	29	31
Error	Absolute (¢)	+0.004	+0.000	+0.004	-0.004	-0.001	+0.001	+0.004	-0.005	+0.004	-0.004	-0.006	+0.001	+0.000	+0.004	+0.004
	Relative (%)	+33.3	+2.2	+36.6	-33.3	-11.6	+6.3	+35.6	-43.3	+36.2	-30.1	-46.2	+4.5	+0.0	+30.1	+30.7
Steps (reduced)		158010 (58317)	231480 (32094)	279874 (80488)	316019 (16940)	344881 (45802)	368908 (69829)	389490 (90411)	407491 (8719)	423489 (24717)	437883 (39111)	450967 (52195)	462960 (64188)	474029 (75257)	484307 (85535)	493899 (95127)