789edo

← 788edo

789edo

790edo →

Prime factorization	3 × 263
Step size	1.52091 ¢
Fifth	462\789 (702.662 ¢) (→ 154\263)
Semitones (A1:m2)	78:57 (118.6 ¢ : 86.69 ¢)
Dual sharp fifth	462\789 (702.662 ¢) (→ 154\263)
Dual flat fifth	461\789 (701.141 ¢)
Dual major 2nd	134\789 (203.802 ¢)
Consistency limit	7
Distinct consistency limit	7

789edo is notable for an extremely good approximation of the 2.5.7 subgroup, unbeaten until 5902edo.

Odd harmonics

Approximation of odd harmonics in 789edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	+0.707	-0.002	-0.005	-0.108	-0.748	+0.537	+0.705	-0.012	+0.586	+0.702	-0.137
	Relative (%)	+46.5	-0.1	-0.3	-7.1	-49.2	+35.3	+46.3	-0.8	+38.5	+46.2	-9.0
Steps (reduced)		1251 (462)	1832 (254)	2215 (637)	2501 (134)	2729 (362)	2920 (553)	3083 (716)	3225 (69)	3352 (196)	3466 (310)	3569 (413)

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