34ed5

← 33ed5

34ed5

35ed5 →

Prime factorization	2 × 17
Step size	81.9504 ¢
Octave	15\34ed5 (1229.26 ¢)
Twelfth	23\34ed5 (1884.86 ¢)
Consistency limit	2
Distinct consistency limit	2

34 equal divisions of the 5th harmonic (abbreviated 34ed5) is a nonoctave tuning system that divides the interval of 5/1 into 34 equal parts of about 82 ¢ each. Each step represents a frequency ratio of 5^1/34, or the 34th root of 5.

Theory

This tuning tempers out 25/24 in the 5-limit, 21/20 and 35/32 in the 7-limit, and 81/77 and 99/98 in the 11-limit.

Harmonics

Approximation of harmonics in 34ed5

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+29.3	-17.1	-23.4	+0.0	+12.2	-8.9	+5.8	-34.2	+29.3	+28.2	-40.5
	Relative (%)	+35.7	-20.9	-28.6	+0.0	+14.8	-10.8	+7.1	-41.7	+35.7	+34.4	-49.5
Steps (reduced)		15 (15)	23 (23)	29 (29)	34 (0)	38 (4)	41 (7)	44 (10)	46 (12)	49 (15)	51 (17)	52 (18)