Harmonics 32–64: Difference between revisions

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~~'''32afdo''' ([[AFDO~~|~~arithmetic frequency division of the octave]]), or '''32odo''' ([[otonal division]] of the octave), divides the octave into~~ 32 parts of 1/32 each. It is a superset of [[31afdo]] and a subset of [[33afdo]]. As a scale it may be known as [[Harmonic mode|mode 32 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-32]] scale.

The smallest [[edo]] that maintains 25% or lower relative error on all intervals of ~~32afdo~~ is [[3159811edo]].

The smallest [[edo]] that maintains 25% or lower relative error on all intervals of this scale is [[3159811edo]].

== Intervals ==

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{{Idiosyncratic terms|Most of these names were coined, and are solely used, by [[Budjarn Lambeth]] - however he was only the first to ''name'' many of these scales, others have probably already ''used'' them before him}}

* 32:34:36:38:40:43:44:48:52:54:56:58:60:64 ''loose approximation of [[fluid just intonation]]''

* 32:40:43:48:57:64 Arcade

* 32:43:48:51:57:64 Cosmic

* 32:34:36:38:40:43:44:48:52:54:56:58:60:64 ''loose approximation of [[fluid just intonation]]''

* ''[[User:BudjarnLambeth/Some tunings for Japanese scales#Over-2]]'' (most of these are in this scale)

* ''[[User:BudjarnLambeth/Some tunings for Japanese scales#Over-2]]'' (most of these are in ~~32afdo~~)

== Music ==

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== See also ==

* [[~~8afdo~~]]

* [[Harmonics 8–16]]

* [[~~16afdo~~]]

* [[Harmonics 16–32]]

@@ Line 1: / Line 1: @@
-{{Infobox AFDO|steps=32}}
+{{Infobox harmonics|32}}
-'''32afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''32odo''' ([[otonal division]] of the octave), divides the octave into 32 parts of 1/32 each. It is a superset of [[31afdo]] and a subset of [[33afdo]]. As a scale it may be known as [[Harmonic mode|mode 32 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-32]] scale.
+{{Harmonics intro|32}}
-The smallest [[edo]] that maintains 25% or lower relative error on all intervals of 32afdo is [[3159811edo]].
+The smallest [[edo]] that maintains 25% or lower relative error on all intervals of this scale is [[3159811edo]].
 == Intervals ==
@@ Line 43: / Line 43: @@
 {{Idiosyncratic terms|Most of these names were coined, and are solely used, by [[Budjarn Lambeth]] - however he was only the first to ''name'' many of these scales, others have probably already ''used'' them before him}}
+* 32:34:36:38:40:43:44:48:52:54:56:58:60:64 ''loose approximation of [[fluid just intonation]]''
 * 32:40:43:48:57:64 Arcade
 * 32:43:48:51:57:64 Cosmic
-* 32:34:36:38:40:43:44:48:52:54:56:58:60:64 ''loose approximation of [[fluid just intonation]]''
+* ''[[User:BudjarnLambeth/Some tunings for Japanese scales#Over-2]]'' (most of these are in this scale)
-* ''[[User:BudjarnLambeth/Some tunings for Japanese scales#Over-2]]'' (most of these are in 32afdo)
 == Music ==
@@ Line 53: / Line 53: @@
 == See also ==
-* [[8afdo]]
+* [[Harmonics 8–16]]
-* [[16afdo]]
+* [[Harmonics 16–32]]
+{{Navbox harmonics}}