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 four 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
| 315.6
| 315.6
| [[6/5]]
| [[6/5]]
| 1.2000
| just minor third
| just minor third
| [[File:Jid_6_5_pluck_adu_dr220.mp3]]
|-
|-
| 2
| 2
| 582.5
| 582.5
| [[7/5]]
| [[7/5]]
| 1.40000
| narrow tritone
| narrow tritone
| [[File:Jid_7_5_pluck_adu_dr220.mp3]]
|-
|-
| 3
| 3
| 813.7
| 813.7
| [[8/5]]
| [[8/5]]
| 1.6000
| just minor sixth
| just minor sixth
| [[File:Jid_8_5_pluck_adu_dr220.mp3]]
|-
|-
| 4
| 4
| 1017.6
| 1017.6
| [[9/5]]
| [[9/5]]
| 1.8000
| just minor seventh
| just minor seventh
| [[File:Jid_9_5_pluck_adu_dr220.mp3]]
|-
|-
| 5
| 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]]
== Scala files ==
[[Category:Just intonation]]
* [[Otonalpentad]] – this file starts with 8/5
 
[[Category:African music]]

Latest revision as of 14:39, 23 April 2026

← 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. It is a superset of 4afdo and a subset of 6afdo. 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 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

# 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