3afdo: Difference between revisions
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{{Infobox | {{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 14: | Line 14: | ||
| 0.0 | | 0.0 | ||
| [[1/1]] | | [[1/1]] | ||
| 1. | | 1.0000 | ||
| perfect unison | | perfect unison | ||
| | | | ||
| Line 21: | Line 21: | ||
| 498.0 | | 498.0 | ||
| [[4/3]] | | [[4/3]] | ||
| 1. | | 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 28: | Line 28: | ||
| 884.4 | | 884.4 | ||
| [[5/3]] | | [[5/3]] | ||
| 1. | | 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 35: | Line 35: | ||
| 1200.0 | | 1200.0 | ||
| [[2/1]] | | [[2/1]] | ||
| 2. | | 2.0000 | ||
| perfect octave | | perfect octave | ||
| [[File:Jid_2_1_pluck_adu_dr220.mp3]] | | [[File:Jid_2_1_pluck_adu_dr220.mp3]] | ||
|} | |} | ||