View source for 3afdo

{{Infobox AFDO|steps=3}}
'''3afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''3odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into three arithmetically equal parts. It is a superset of [[2afdo]] and a subset of [[4afdo]]. It is the first nontrivial afdo since it is the first afdo to demonstrate [[chirality]]. Its inverse is [[3ifdo]]. As a [[scale]] it may also be known as [[harmonic mode|mode 3 of the harmonic series]] or the [[overtone scale #Over-n scales|Over-3]] scale. The notes of this afdo form a 3:4:5 triad (first rotation of the [[just major triad]]) on root position.

== Intervals ==
{| class="wikitable center-all"
! #
! Cents
! Ratio
! Decimal
! Interval name
! Audio
|-
| 0
| 0.0
| [[1/1]]
| 1.0000
| perfect unison
| 
|-
| 1
| 498.0
| [[4/3]]
| 1.3333
| just perfect fourth
| [[File:Jid_4_3_pluck_adu_dr220.mp3]]
|-
| 2
| 884.4
| [[5/3]]
| 1.6667
| just major sixth
| [[File:Jid_5_3_pluck_adu_dr220.mp3]]
|-
| 3
| 1200.0
| [[2/1]]
| 2.0000
| perfect octave
| [[File:Jid_2_1_pluck_adu_dr220.mp3]]
|}