User:Lériendil/ET harmonic testing page: Difference between revisions

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==Harmonics==
==Harmonics==
{{Harmonics in equal|32|4.05|1|intervals=prime}}  
{{Harmonics in equal|32|4.05|1|intervals=prime}}  
{{Harmonics in equal|32|4|1|intervals=prime}}
{{Stub}}
{{Stub}}

Revision as of 18:39, 12 July 2024

← 11edo ET harmonic testing page 13edo →
Prime factorization 22 × 3 (highly composite)
Step size 100 ¢ (by definition) 
Fifth 7\12 (700 ¢)
(convergent)
Semitones (A1:m2) 1:1 (100 ¢ : 100 ¢)
Consistency limit 9
Distinct consistency limit 5

Harmonics

Approximation of prime harmonics in 32ed4.05
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +10.8 -10.2 +13.6 +36.4 +10.6 +24.1 +13.7 -27.5 +20.1 -2.8 +33.1
Relative (%) +14.2 -13.4 +17.9 +48.1 +14.1 +31.9 +18.1 -36.3 +26.6 -3.7 +43.7
Steps
(reduced)
16
(16)
25
(25)
37
(5)
45
(13)
55
(23)
59
(27)
65
(1)
67
(3)
72
(8)
77
(13)
79
(15)
Approximation of prime harmonics in 32ed4
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.0 -27.0 -11.3 +6.2 -26.3 -15.5 -30.0 +2.5 -28.3 +20.4 -20.0
Relative (%) +0.0 -35.9 -15.1 +8.2 -35.1 -20.7 -39.9 +3.3 -37.7 +27.2 -26.7
Steps
(reduced)
16
(16)
25
(25)
37
(5)
45
(13)
55
(23)
59
(27)
65
(1)
68
(4)
72
(8)
78
(14)
79
(15)
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