175ed5

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← 174ed5

175ed5

176ed5 →

Prime factorization	52 × 7
Step size	15.9218 ¢
Octave	75\175ed5 (1194.13 ¢) (→ 3\7ed5)
Twelfth	119\175ed5 (1894.69 ¢) (→ 17\25ed5)
Consistency limit	3
Distinct consistency limit	3

175 equal divisions of the 5th harmonic (abbreviated 175ed5) is a nonoctave tuning system that divides the interval of 5/1 into 175 equal parts of about 15.9 ¢ each. Each step represents a frequency ratio of 5^1/175, or the 175th root of 5.

Harmonics

Approximation of harmonics in 175ed5

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	-5.87	-7.26	+4.19	+0.00	+2.79	+6.59	-1.67	+1.40	-5.87	+4.27	-3.07
	Relative (%)	-36.8	-45.6	+26.3	+0.0	+17.6	+41.4	-10.5	+8.8	-36.8	+26.8	-19.3
Steps (reduced)		75 (75)	119 (119)	151 (151)	175 (0)	195 (20)	212 (37)	226 (51)	239 (64)	250 (75)	261 (86)	270 (95)