197edt

← 196edt

197edt

198edt →

Prime factorization	197 (prime)
Step size	9.65459 ¢
Octave	124\197edt (1197.17 ¢)
Consistency limit	3
Distinct consistency limit	3

197 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 197edt or 197ed3), is a nonoctave tuning system that divides the interval of 3/1 into 197 equal parts of about 9.65 ¢ each. Each step represents a frequency ratio of 3^1/197, or the 197th root of 3.

197edt can be described as approximately 124.293edo. This implies that each step of 39edt can be approximated by 7 steps of 870edo.

It is a very strong no-twos, no-fives 19-limit system.

Harmonics

Approximation of prime harmonics in 197edt

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	-2.83	+0.00	+3.86	+0.63	+0.16	+0.59	-0.42	+0.11	-2.39	+1.80	+2.19
	Relative (%)	-29.3	+0.0	+40.0	+6.5	+1.6	+6.1	-4.4	+1.2	-24.8	+18.6	+22.7
Steps (reduced)		124 (124)	197 (0)	289 (92)	349 (152)	430 (36)	460 (66)	508 (114)	528 (134)	562 (168)	604 (13)	616 (25)

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