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

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==Harmonics==
==Harmonics==
{{Harmonics in equal|100|720|1|prec=2|columns=15|intervals=prime}}
{{Harmonics in equal|76|16.2|1|intervals=prime}}


{{Stub}}
{{Stub}}

Revision as of 09:47, 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 76ed16.2
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +5.4 +1.3 +5.1 -6.5 -27.7 +0.3 -20.0 -22.2 +27.6 +7.0 +18.4
Relative (%) +8.5 +2.0 +8.0 -10.2 -43.6 +0.5 -31.5 -35.1 +43.6 +11.0 +29.0
Steps
(reduced)
19
(19)
30
(30)
44
(44)
53
(53)
65
(65)
70
(70)
77
(1)
80
(4)
86
(10)
92
(16)
94
(18)
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