32afdo: Difference between revisions

(12 intermediate revisions by 4 users not shown)

Line 1:

'''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. 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.

'''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]].

== Intervals ==

Line 34:

Line 36:

# [[61/32]]

# [[31/16]]

# [[61/31]]

# [[63/32]]

# [[2/1]]

== Scales ==

{{See also| 5- to 10-tone scales from the modes of the harmonic series }}

{{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}}

* ~~Arcade~~: 40/32-43~~/32-~~48~~/32-~~57~~/32-~~64~~/32~~

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

* ~~Cosmic~~: 43~~/32-~~48~~/32-~~51~~/32-~~57/32-~~64/32~~

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

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

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

== Music ==

* [https://www.youtube.com/watch?v=tMSXdCWbRHw How to See Ghosts (demonstration piece)] ~~by Adam Neely~~ (2018) ~~- the~~ piece starts at 10:17

; [[Adam Neely]]

* [https://www.youtube.com/watch?v=tMSXdCWbRHw ''How to See Ghosts'' (demonstration piece)] (2018) – The piece starts at 10:17

== See also ==

* [[8afdo]]

* [[16afdo]]

@@ Line 1: / Line 1: @@
 {{Infobox AFDO|steps=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. 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.
+'''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]].
 == Intervals ==
@@ Line 34: / Line 36: @@
 # [[61/32]]
 # [[31/16]]
-# [[61/31]]
+# [[63/32]]
 # [[2/1]]
 == Scales ==
 {{See also| 5- to 10-tone scales from the modes of the harmonic series }}
+{{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}}
-* Arcade: 40/32-43/32-48/32-57/32-64/32
+* 32:34:36:38:40:43:44:48:52:54:56:58:60:64 ''loose approximation of [[fluid just intonation]]''
-* Cosmic: 43/32-48/32-51/32-57/32-64/32
+* 32:40:43:48:57:64 Arcade
+* 32:43:48:51:57:64 Cosmic
+* ''[[User:BudjarnLambeth/Some tunings for Japanese scales#Over-2]]'' (most of these are in 32afdo)
 == Music ==
-* [https://www.youtube.com/watch?v=tMSXdCWbRHw How to See Ghosts (demonstration piece)] by Adam Neely (2018) - the piece starts at 10:17
+; [[Adam Neely]]
+* [https://www.youtube.com/watch?v=tMSXdCWbRHw ''How to See Ghosts'' (demonstration piece)] (2018) – The piece starts at 10:17
+== See also ==
+* [[8afdo]]
+* [[16afdo]]