3afdo: Difference between revisions
CompactStar (talk | contribs) Created page with "'''3ado''', if the attempt is made to use it as an actual scale, would divide the octave into three arithmetically equal parts. The only intervals in it are 1/1, 4/3..." Tags: Mobile edit Mobile web edit |
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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 | |||
|- | |- | ||
| 0 | | 0 | ||
| 0.0 | |||
| [[1/1]] | | [[1/1]] | ||
| 1.0000 | |||
| perfect unison | | perfect unison | ||
| | |||
|- | |- | ||
| 1 | | 1 | ||
| 498 | | 498.0 | ||
| [[4/3]] | | [[4/3]] | ||
| 1.3333 | |||
| just perfect fourth | | just perfect fourth | ||
| [[File:Jid_4_3_pluck_adu_dr220.mp3]] | |||
|- | |- | ||
| 2 | | 2 | ||
| 884.4 | | 884.4 | ||
| [[5/3]] | | [[5/3]] | ||
| just perfect | | 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]] | |||
|} | |} | ||