User:Lériendil/76ed81/5: Difference between revisions

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==Harmonics==
==Harmonics==
{{Harmonics in equal|76|16.2|1|intervals=prime}}
{{Harmonics in equal|100|720|1|intervals=prime}}


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Revision as of 09:07, 12 August 2024

← 4edo 5 6edo →
Prime factorization 5 (prime)
Step size 240 ¢ 
Fifth 3\5 (720 ¢)
(convergent)
Semitones (A1:m2) 1:0 (240 ¢ : 0 ¢)
Consistency limit 9
Distinct consistency limit 3

76 equal divisions of 81/5 (abbreviated 76ed81/5) is a nonoctave tuning system that divides the interval of 81/5 into 76 equal parts of about 63.4 ¢ each. Each step represents a frequency ratio of (81/5)1/76, or the 76th root of 81/5.

Harmonics

Approximation of prime harmonics in 100ed720
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +52.9 +34.4 -52.7 +48.2 -50.8 +1.7 -7.2 +28.1 +39.0 -20.6 -22.1
Relative (%) +46.5 +30.2 -46.2 +42.4 -44.6 +1.5 -6.3 +24.7 +34.3 -18.1 -19.4
Steps
(reduced)
11
(11)
17
(17)
24
(24)
30
(30)
36
(36)
39
(39)
43
(43)
45
(45)
48
(48)
51
(51)
52
(52)
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