1778edo

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1778edo

1779edo →

Prime factorization	2 × 7 × 127
Step size	0.674916 ¢
Fifth	1040\1778 (701.912 ¢) (→ 520\889)
Semitones (A1:m2)	168:134 (113.4 ¢ : 90.44 ¢)
Consistency limit	9
Distinct consistency limit	9

Prime harmonics with less than 1 standard deviation in 1778edo are: 2, 3, 11, 23, 43, 47, 61. As such, it is best for use with the 2.3.11.23.43.47.61 subgroup.

In the 7-limit it provides the optimal patent val for the neptune temperament.

Odd harmonics

Approximation of odd harmonics in 1778edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	-0.043	-0.262	-0.322	-0.085	+0.088	-0.258	-0.305	+0.331	+0.125	+0.310	+0.072
	Relative (%)	-6.3	-38.8	-47.7	-12.7	+13.1	-38.2	-45.1	+49.1	+18.5	+46.0	+10.7
Steps (reduced)		2818 (1040)	4128 (572)	4991 (1435)	5636 (302)	6151 (817)	6579 (1245)	6946 (1612)	7268 (156)	7553 (441)	7810 (698)	8043 (931)