5afdo: Difference between revisions

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{{Infobox AFDO|steps=5}}
[[File:5ado scale.wav|thumb]]
[[File:5ado scale.wav|thumb]]


'''5ado''' is the [[ADO|arithmetic equal division of the octave]] into five parts of 1/5 each.
'''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).


== Intervals ==
== Intervals ==
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! Cents
! Cents
! Ratio
! Ratio
! Decimal
! Interval name
! Interval name
! Audio
|-
|-
| 0
| 0
| 0
| 0
| [[1/1]]
| [[1/1]]
| 1.0000
| perfect unison
| perfect unison
|
|-
|-
| 1
| 1
| 386.3
| 315.6
| [[5/4]]
| [[6/5]]
| just major third
| 1.2000
| just minor third
| [[File:Jid_6_5_pluck_adu_dr220.mp3]]
|-
|-
| 2
| 2
| 702.0
| 582.5
| [[3/2]]
| [[7/5]]
| just perfect fifth
| 1.40000
| narrow tritone
| [[File:Jid_7_5_pluck_adu_dr220.mp3]]
|-
|-
| 3
| 3
| 968.8
| 813.7
| [[7/4]]
| [[8/5]]
| harmonic seventh
| 1.6000
| just minor sixth
| [[File:Jid_8_5_pluck_adu_dr220.mp3]]
|-
|-
| 4
| 4
| 1017.6
| [[9/5]]
| 1.8000
| just minor seventh
| [[File:Jid_9_5_pluck_adu_dr220.mp3]]
|-
| 5
| 1200.0
| 1200.0
| [[2/1]]
| [[2/1]]
| 2.0000
| perfect octave
| perfect octave
| [[File:Jid_2_1_pluck_adu_dr220.mp3]]
|}
|}


[[Category:ADO]]
== In traditional music ==
[[Category:Just intonation]]
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.
 
== Scala files ==
* [[Otonalpentad]] – this file starts with 8/5
 
[[Category:African music]]