5afdo: Difference between revisions

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Terminological development
+link to the scala file
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[[File:5ado scale.wav|thumb]]
[[File:5ado scale.wav|thumb]]


'''5afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''5odo''' ([[otonal division]] of the octave), divides the octave into five parts of 1/5 each. As a scale it may be known as [[Harmonic mode|mode 5 of the harmonic series]] or the [[Overtone scale #Over-n_scales|Over-5]] scale. As 5 is a small odd number, this AFDO does not contain a perfect fifth or any reasonable approximation to it, an it is relatively poor for its size at creating traditional tonal music compared to [[4afdo]] and [[6afdo]].
'''5afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''5odo''' ([[otonal division]] of the octave), divides the octave into five parts of 1/5 each. As a scale it may be known as [[Harmonic mode|mode 5 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-5]] scale. As 5 is a small odd number, this AFDO does not contain a perfect fifth or any reasonable approximation to it, an it is relatively poor for its size at creating traditional tonal music compared to [[4afdo]] and [[6afdo]].


== Intervals ==
== Intervals ==
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[[Category:AFDO]]
== Scala files ==
* [[Otonalpentad]] – this file starts with 8/5

Revision as of 10:35, 20 September 2023

← 4afdo 5afdo 6afdo →
Prime factorization 5 (prime)
Dual sharp fifth 8/5 (813.686c)
Dual flat fifth 7/5 (582.512c)

5afdo (arithmetic frequency division of the octave), or 5odo (otonal division of the octave), divides the octave into five parts of 1/5 each. As a scale it may be known as mode 5 of the harmonic series or the Over-5 scale. As 5 is a small odd number, this AFDO does not contain a perfect fifth or any reasonable approximation to it, an it is relatively poor for its size at creating traditional tonal music compared to 4afdo and 6afdo.

Intervals

# Cents Ratio Decimal Interval name Audio
0 0 1/1 1.0000 perfect unison
1 315.6 6/5 1.2000 just minor third
2 582.5 7/5 1.40000 narrow tritone
3 813.7 8/5 1.6000 just minor sixth
4 1017.6 9/5 1.8000 just minor seventh
5 1200.0 2/1 2.0000 perfect octave

Scala files