3afdo: Difference between revisions
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''' | {{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 == | == Intervals == | ||
| Line 6: | Line 7: | ||
! Cents | ! Cents | ||
! Ratio | ! Ratio | ||
! Decimal | |||
! Interval name | ! Interval name | ||
! Audio | ! Audio | ||
| Line 12: | Line 14: | ||
| 0.0 | | 0.0 | ||
| [[1/1]] | | [[1/1]] | ||
| 1.0000 | |||
| perfect unison | | perfect unison | ||
| | | | ||
| Line 18: | Line 21: | ||
| 498.0 | | 498.0 | ||
| [[4/3]] | | [[4/3]] | ||
| 1.3333 | |||
| just perfect fourth | | just perfect fourth | ||
| [[File:Jid_4_3_pluck_adu_dr220.mp3]] | | [[File:Jid_4_3_pluck_adu_dr220.mp3]] | ||
| Line 24: | Line 28: | ||
| 884.4 | | 884.4 | ||
| [[5/3]] | | [[5/3]] | ||
| 1.6667 | |||
| just major sixth | | just major sixth | ||
| [[File:Jid_5_3_pluck_adu_dr220.mp3]] | | [[File:Jid_5_3_pluck_adu_dr220.mp3]] | ||
| Line 30: | Line 35: | ||
| 1200.0 | | 1200.0 | ||
| [[2/1]] | | [[2/1]] | ||
| 2.0000 | |||
| perfect octave | | perfect octave | ||
| [[File:Jid_2_1_pluck_adu_dr220.mp3]] | | [[File:Jid_2_1_pluck_adu_dr220.mp3]] | ||
|} | |} | ||
Latest revision as of 03:59, 30 July 2025
| ← 2afdo | 3afdo | 4afdo → |
3afdo (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 mode 3 of the harmonic series or the 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
| # | 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 | |
| 2 | 884.4 | 5/3 | 1.6667 | just major sixth | |
| 3 | 1200.0 | 2/1 | 2.0000 | perfect octave |