137ed6: Difference between revisions

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Created page with "{{Infobox ET}} '''Division of the sixth harmonic into 137 equal parts''' (137ED6) is practically identical to 53 edo, but with the 6/1 rather than the 2/1 be..."
 
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{{Infobox ET}}
{{Infobox ET}}
'''[[Edt|Division of the sixth harmonic]] into 137 equal parts''' (137ED6) is practically identical to [[53edo|53 edo]], but with the 6/1 rather than the 2/1 being just. The octave is about 0.03 cents stretched and the step size is about 22.642 cents.
'''[[Ed6|Division of the sixth harmonic]] into 137 equal parts''' (137ED6) is practically identical to [[53edo|53 edo]], but with the 6/1 rather than the 2/1 being just. The octave is about 0.03 cents stretched and the step size is about 22.642 cents.


== Harmonics ==
== Harmonics ==

Revision as of 15:28, 9 September 2024

← 136ed6 137ed6 138ed6 →
Prime factorization 137 (prime)
Step size 22.642 ¢ 
Octave 53\137ed6 (1200.03 ¢)
(convergent)
Twelfth 84\137ed6 (1901.93 ¢)
(convergent)
Consistency limit 10
Distinct consistency limit 10

Division of the sixth harmonic into 137 equal parts (137ED6) is practically identical to 53 edo, but with the 6/1 rather than the 2/1 being just. The octave is about 0.03 cents stretched and the step size is about 22.642 cents.

Harmonics

Approximation of harmonics in 137ed6
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Error Absolute (¢) +0.03 -0.03 +0.05 -1.35 +0.00 +4.83 +0.08 -0.05 -1.32 -7.83 +0.03 -2.69 +4.86 -1.37 +0.11
Relative (%) +0.1 -0.1 +0.2 -5.9 +0.0 +21.3 +0.3 -0.2 -5.8 -34.6 +0.1 -11.9 +21.5 -6.1 +0.5
Steps
(reduced)
53
(53)
84
(84)
106
(106)
123
(123)
137
(0)
149
(12)
159
(22)
168
(31)
176
(39)
183
(46)
190
(53)
196
(59)
202
(65)
207
(70)
212
(75)