8ed9/7: Difference between revisions

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== Harmonics ==
== Harmonics ==
{{Harmonics in equal|8|9|7|prec=2|columns=15}}
{{Harmonics in equal|8|9|7|prec=2|columns=15}}
[[Category:Edonoi]]

Latest revision as of 19:24, 1 August 2025

← 7ed9/7 8ed9/7 9ed9/7 →
Prime factorization 23
Step size 54.3855 ¢ 
Octave 22\8ed9/7 (1196.48 ¢) (→ 11\4ed9/7)
Twelfth 35\8ed9/7 (1903.49 ¢)
(convergent)
Consistency limit 12
Distinct consistency limit 8

Division of the septimal supermajor third into 8 equal parts (8ED9/7) is related to 22 edo, but with the 9/7 rather than the 2/1 being just. The octave is about 3.52 cents stretched and the step size is 54.39 cents.

Lookalikes: 22edo, 13edf, 35edt, 57ed6

Harmonics

Approximation of harmonics in 8ed9/7
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Error Absolute (¢) -3.52 +1.54 -7.04 -12.65 -1.98 +3.08 -10.56 +3.08 -16.17 -18.02 -5.50 +19.08 -0.44 -11.11 -14.07
Relative (%) -6.5 +2.8 -12.9 -23.3 -3.6 +5.7 -19.4 +5.7 -29.7 -33.1 -10.1 +35.1 -0.8 -20.4 -25.9
Steps
(reduced)
22
(6)
35
(3)
44
(4)
51
(3)
57
(1)
62
(6)
66
(2)
70
(6)
73
(1)
76
(4)
79
(7)
82
(2)
84
(4)
86
(6)
88
(0)