41ed9

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41ed9

43ed9 →

Prime factorization	41 (prime)
Step size	92.7783 ¢
Octave	13\41ed9 (1206.12 ¢)
Twelfth	21\41ed9 (1948.34 ¢)
Consistency limit	2
Distinct consistency limit	2

41 equal divisions of the 9th harmonic (abbreviated 41ed9) is a nonoctave tuning system that divides the interval of 9/1 into 41 equal parts of about 92.8 ¢ each. Each step represents a frequency ratio of 9^1/41, or the 41st root of 9. This is near 13edo.

Harmonics

Approximation of harmonics in 41ed9

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+6.1	+46.4	+12.2	-3.0	-40.3	-28.8	+18.4	+0.0	+3.2	+23.7	-34.2
	Relative (%)	+6.6	+50.0	+13.2	-3.2	-43.4	-31.0	+19.8	+0.0	+3.4	+25.6	-36.8
Steps (reduced)		13 (13)	21 (21)	26 (26)	30 (30)	33 (33)	36 (36)	39 (39)	41 (0)	43 (2)	45 (4)	46 (5)