User:MisterShafXen/23ed8

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23ed8

24ed8 →

Prime factorization	23 (prime)
Step size	156.522 ¢
Octave	8\23ed8 (1252.17 ¢)
Twelfth	12\23ed8 (1878.26 ¢)
Consistency limit	3
Distinct consistency limit	3

23 equal divisions of the 8th harmonic (abbreviated 23ed8) is a nonoctave tuning system that divides the interval of 8/1 into 23 equal parts of about 157 ¢ each. Each step represents a frequency ratio of 8^1/23, or the 23rd root of 8.

Harmonics

Approximation of harmonics in 23ed8

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+52.2	-23.7	-52.2	+31.1	+28.5	+74.7	+0.0	-47.4	-73.3	+74.8	-75.9
	Relative (%)	+33.3	-15.1	-33.3	+19.9	+18.2	+47.7	+0.0	-30.3	-46.8	+47.8	-48.5
Steps (reduced)		8 (8)	12 (12)	15 (15)	18 (18)	20 (20)	22 (22)	23 (0)	24 (1)	25 (2)	27 (4)	27 (4)