16afdo: Difference between revisions

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'''~~16ado~~''' ([[~~ADO~~|arithmetic 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, ~~16ado~~ 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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|}

[[~~Category~~:~~ADO~~]]

== Scales ==

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

* [[1-3-7-9 hexany]]

* Deister Tune 216: 17/16–5/4–11/8–3/2–7/4–15/8–32/16

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

* Moonbeam: 18/16–19/16–24/16–30/16–32/16

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

== Music ==

; [[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'']

@@ Line 1: / Line 1: @@
-{{Infobox ADO|steps=16}}
+{{Infobox AFDO|steps=16}}
-'''16ado''' ([[ADO|arithmetic 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, 16ado 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 131: / Line 135: @@
 |}
-[[Category:ADO]]
+== Scales ==
+{{See also| 5- to 10-tone scales from the modes of the harmonic series }}
+* [[1-3-7-9 hexany]]
+* Deister Tune 216: 17/16–5/4–11/8–3/2–7/4–15/8–32/16
+* Mechanical: 19/16–20/16–24/16–28/16–32/16
+* Moonbeam: 18/16–19/16–24/16–30/16–32/16
+* Volcanic: 17/16–20/16–24/16–28/16–32/16
+== Music ==
+; [[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'']