197edt

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← 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 (197edt) is the nonoctave tuning system derived by dividing the tritave (3/1) into 197 equal steps of approximately 9.655 cents each, 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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