249edo

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249edo

250edo →

Prime factorization	3 × 83
Step size	4.81928 ¢
Fifth	146\249 (703.614 ¢)
Semitones (A1:m2)	26:17 (125.3 ¢ : 81.93 ¢)
Dual sharp fifth	146\249 (703.614 ¢)
Dual flat fifth	145\249 (698.795 ¢)
Dual major 2nd	42\249 (202.41 ¢) (→ 14\83)
Consistency limit	3
Distinct consistency limit	3

Theory

Approximation of odd harmonics in 249edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	+1.66	-0.77	-0.15	-1.50	-1.92	-1.97	+0.89	+1.07	+1.28	+1.51	-1.77
	Relative (%)	+34.4	-16.0	-3.1	-31.1	-39.8	-40.9	+18.4	+22.2	+26.6	+31.3	-36.7
Steps (reduced)		395 (146)	578 (80)	699 (201)	789 (42)	861 (114)	921 (174)	973 (226)	1018 (22)	1058 (62)	1094 (98)	1126 (130)

249edo is good at the 2.5.7.9.15.17.19 subgroup.

In the 249bcee val, it is a tuning for the diesic temperament.