4afdo: Difference between revisions

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[[File:4ado scale.wav|thumb]]

'''~~4ado~~''' ([[~~ADO~~|arithmetic division of the octave]]), or '''4odo''' ([[otonal division]] of the octave), divides the octave into four parts of 1/4 each. As a scale it may be known as [[Harmonic mode|mode 4 of the harmonic series]] or the [[~~Overtone_scale~~#Over-~~n_scales~~|Over-4]] scale. Because 4 is a power of 2, ~~4ado~~ corresponds to the 4th to 8th harmonics octave-reduced. The notes of ~~4ado~~ create a harmonic seventh chord.

'''4afdo''' ([[AFDO|arithmetic division of the octave]]), or '''4odo''' ([[otonal division]] of the octave), divides the octave into four parts of 1/4 each. It is a superset of [[3afdo]] and a subset of [[5afdo]]. As a scale it may be known as [[Harmonic mode|mode 4 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-4]] scale. Because 4 is a power of 2, 4afdo corresponds to the 4th to 8th harmonics octave-reduced. The notes of 4afdo create a [[4:5:6:7|harmonic seventh chord]].

The smallest [[edo]]s that maintain 25% or lower relative error on all intervals of 4afdo are [[10edo]] and [[15edo]], though they are not very accurate. The next two edos, [[22edo]] and [[31edo]], are the smallest that approximate 4afdo with appreciable accuracy.

== Intervals ==

{| class="wikitable center-all"

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! Cents

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| [[File:Jid_2_1_pluck_adu_dr220.mp3]]

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~~[[Category:ADO]]~~

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-{{Infobox ADO|steps=4}}
+{{Infobox AFDO|steps=4}}
 [[File:4ado scale.wav|thumb]]
-'''4ado''' ([[ADO|arithmetic division of the octave]]), or '''4odo''' ([[otonal division]] of the octave), divides the octave into four parts of 1/4 each. As a scale it may be known as [[Harmonic mode|mode 4 of the harmonic series]] or the [[Overtone_scale#Over-n_scales|Over-4]] scale. Because 4 is a power of 2, 4ado corresponds to the 4th to 8th harmonics octave-reduced. The notes of 4ado create a harmonic seventh chord.
+'''4afdo''' ([[AFDO|arithmetic division of the octave]]), or '''4odo''' ([[otonal division]] of the octave), divides the octave into four parts of 1/4 each. It is a superset of [[3afdo]] and a subset of [[5afdo]]. As a scale it may be known as [[Harmonic mode|mode 4 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-4]] scale. Because 4 is a power of 2, 4afdo corresponds to the 4th to 8th harmonics octave-reduced. The notes of 4afdo create a [[4:5:6:7|harmonic seventh chord]].
+The smallest [[edo]]s that maintain 25% or lower relative error on all intervals of 4afdo are [[10edo]] and [[15edo]], though they are not very accurate. The next two edos, [[22edo]] and [[31edo]], are the smallest that approximate 4afdo with appreciable accuracy.
 == Intervals ==
 {| class="wikitable center-all"
+|-
 ! #
 ! Cents
@@ Line 48: / Line 51: @@
 | [[File:Jid_2_1_pluck_adu_dr220.mp3]]
 |}
-[[Category:ADO]]