32afdo: Difference between revisions

← Older edit

VisualWikitext

@@ 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 ==
+# [[33/32]]
+# [[17/16]]
+# [[35/32]]
+# [[9/8]]
+# [[37/32]]
+# [[19/16]]
+# [[39/32]]
+# [[5/4]]
+# [[41/32]]
+# [[21/16]]
+# [[43/32]]
+# [[11/8]]
+# [[45/32]]
+# [[23/16]]
+# [[47/32]]
+# [[3/2]]
+# [[49/32]]
+# [[25/16]]
+# [[51/32]]
+# [[13/8]]
+# [[53/32]]
+# [[27/16]]
+# [[55/32]]
+# [[7/4]]
+# [[57/32]]
+# [[29/16]]
+# [[59/32]]
+# [[15/8]]
+# [[61/32]]
+# [[31/16]]
+# [[63/32]]
+# [[2/1]]
 == Scales ==
 {{See also| 5- to 10-tone scales from the modes of the harmonic series }}
-* Arcade: 40/32-43/32-48/32-57/32-64/32
+* Arcade: {{dash|40/32, 43/32, 48/32, 57/32, 64/32|med}}
-* Cosmic: 43/32-48/32-51/32-57/32-64/32
+* Cosmic: {{dash|43/32, 48/32, 51/32, 57/32, 64/32|med}}
+* ''Loose approximation of [[fluid just intonation]]'': 17/16—9/8—19/16—5/4—43/32—11/8—3/2—13/8—27/16—7/4—29/16—15/8—2/1
 == Music ==
-* [[https://www.youtube.com/watch?v=tMSXdCWbRHw How to See Ghosts example 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