Xenharmonic Wiki

170ed11

Revision as of 14:55, 8 November 2022 by Eliora (talk | contribs) (Created page with "{{Infobox ET}} ==Theory== 170ed11 is like 49edo, but with 11/1 instead of 2/1 being just. It helps improve the qualities of the 3, 5, 7 harmonic. {{Harmonics in equal|170|11}}...")
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← 169ed11 170ed11 171ed11 →
Prime factorization 2 × 5 × 17
Step size 24.4195 ¢ 
Octave 49\170ed11 (1196.56 ¢)
Twelfth 78\170ed11 (1904.72 ¢) (→ 39\85ed11)
Consistency limit 7
Distinct consistency limit 7

Theory

170ed11 is like 49edo, but with 11/1 instead of 2/1 being just. It helps improve the qualities of the 3, 5, 7 harmonic.

Approximation of harmonics in 170ed11
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) -3.4 +2.8 -6.9 -2.5 -0.7 +1.1 -10.3 +5.5 -5.9 +0.0 -4.1
Relative (%) -14.1 +11.3 -28.2 -10.2 -2.8 +4.4 -42.3 +22.7 -24.3 +0.0 -16.9
Steps
(reduced) 		49
(49) 		78
(78) 		98
(98) 		114
(114) 		127
(127) 		138
(138) 		147
(147) 		156
(156) 		163
(163) 		170
(0) 		176
(6)
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