16afdo: Difference between revisions

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'''16afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''16-ODO''' ([[otonal division]] of the octave), divides the octave into 16 parts of 1/16 each. As a scale it may be known as [[Harmonic mode|mode 16 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-16]] scale. Because 16 is a power of 2, 16afdo corresponds to the 16th to 32nd harmonics octave-reduced.

'''16afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''16-ODO''' ([[otonal division]] of the octave), divides the octave into 16 parts of 1/16 each. It is a superset of [[15afdo]] and a subset of [[17afdo]]. As a scale it may be known as [[Harmonic mode|mode 16 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-16]] scale. Because 16 is a power of 2, 16afdo corresponds to the 16th to 32nd harmonics octave-reduced.

The smallest [[edo]] that maintains 25% or lower relative error on all intervals of 16afdo is [[311edo]].

== Intervals ==

{| class="wikitable center-all"

|-

! #

! Cents

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== 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}}

* ~~Mechanical~~: ~~19/~~16-20~~/16-~~24~~/16-~~28~~/16-~~32~~/16~~

* 16:17:20:22:24:28:15:32 [[Bryan Deister|Deister]] Tune 216

* ~~Moonbeam~~: 18~~/16-~~19/16-24~~/16-30/16-~~32~~/16~~

* 16:17:20:24:28:32 Volcanic

* ~~Volcanic~~: ~~17/16-~~20~~/16-~~24~~/16-~~28~~/16-~~32~~/16~~

* 16:18:19:24:28:32 Moonbeam

* 16:18:21:24:26:28:32 Canopy

* 16:19:20:24:28:32 Mechanical

== Music ==

* [https://m.youtube.com/watch?v=-uolE48lmto Between 16th and 32nd | Harmonic Series Experiments] by [[~~Ambient Esoterica~~]]

; [[Ambient Esoterica]]

* [https://www.youtube.com/watch?v=-uolE48lmto ''Between 16th and 32nd | Harmonic Series Experiments'']

; [[Bryan Deister]]

* [https://www.youtube.com/watch?v=fdmunv0F9WA ''my tune 216 played on 2/16 at 216hz in 17-limit JI'']

[[~~Category:AFDO~~]]

== See also ==

* [[8afdo]]

* [[32afdo]]

@@ Line 1: / Line 1: @@
 {{Infobox AFDO|steps=16}}
-'''16afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''16-ODO''' ([[otonal division]] of the octave), divides the octave into 16 parts of 1/16 each. As a scale it may be known as [[Harmonic mode|mode 16 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-16]] scale. Because 16 is a power of 2, 16afdo corresponds to the 16th to 32nd harmonics octave-reduced.
+'''16afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''16-ODO''' ([[otonal division]] of the octave), divides the octave into 16 parts of 1/16 each. It is a superset of [[15afdo]] and a subset of [[17afdo]]. As a scale it may be known as [[Harmonic mode|mode 16 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-16]] scale. Because 16 is a power of 2, 16afdo corresponds to the 16th to 32nd harmonics octave-reduced.
+The smallest [[edo]] that maintains 25% or lower relative error on all intervals of 16afdo is [[311edo]].
 == Intervals ==
 {| class="wikitable center-all"
+|-
 ! #
 ! Cents
@@ Line 134: / Line 137: @@
 == 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}}
-* Mechanical: 19/16-20/16-24/16-28/16-32/16
+* 16:17:20:22:24:28:15:32 [[Bryan Deister|Deister]] Tune 216
-* Moonbeam: 18/16-19/16-24/16-30/16-32/16
+* 16:17:20:24:28:32 Volcanic
-* Volcanic: 17/16-20/16-24/16-28/16-32/16
+* 16:18:19:24:28:32 Moonbeam
+* 16:18:21:24:26:28:32 Canopy
+* 16:19:20:24:28:32 Mechanical
 == Music ==
-* [https://m.youtube.com/watch?v=-uolE48lmto Between 16th and 32nd | Harmonic Series Experiments] by [[Ambient Esoterica]]
+; [[Ambient Esoterica]]
+* [https://www.youtube.com/watch?v=-uolE48lmto ''Between 16th and 32nd | Harmonic Series Experiments'']
+; [[Bryan Deister]]
+* [https://www.youtube.com/watch?v=fdmunv0F9WA ''my tune 216 played on 2/16 at 216hz in 17-limit JI'']
-[[Category:AFDO]]
+== See also ==
+* [[8afdo]]
+* [[32afdo]]