Harmonics 5–10: Difference between revisions

+subsets and supersets
Merge from Otonalpentad; + see also
 
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{{Infobox AFDO|steps=5}}
{{Infobox harmonics|5}}
[[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. It is a superset of [[4afdo]] and a subset of [[6afdo]]. 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 over the root, and it is relatively poor for its size at creating traditional tonal music compared to 4afdo and 6afdo (again only if over the root, the modes have more to offer).
{{Harmonics intro|5}} As 5 is a small odd number, this scale does not contain a perfect fifth or any reasonable approximation to it over the root, and it is relatively poor for its size at creating traditional tonal music compared to [[Harmonics 4–8|harmonics 4–8]] and [[Harmonics 6–12|harmonics 6–12]] (again only if over the root, the modes have more to offer).


== Intervals ==
== Intervals ==
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== In traditional music ==
== Scala files ==
The [[Wagogo]] people of central [[Tanzanian|Tanzania]] make use of mode 5 of the harmonic series as [[pentatonic]] scale to play melodies and harmonies in.
This file starts with 8/5.
 
<pre>
! otonalpentad.scl
!
The otonal pentad as a wakalix
! Fokblock([28/27, 21/20, 16/15], [2, 3, 0]) = Fokblock([36/35, 21/20, 16/15], [2, 3, 0])
! = Fokblock([21/20, 36/35, 28/27], [3, 0, 0])
5
!
9/8
5/4
3/2
7/4
2/1
</pre>
 
== See also ==
* [[4:5:6:7:9]] – this scale as a chord


== Scala files ==
* [[Otonalpentad]] – this file starts with 8/5


[[Category:African music]]
{{Navbox harmonics}}
[[Category:5-tone scales]]
[[Category:Wakalixes]]