Harmonics 16–32: Difference between revisions

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{{Infobox AFDO|steps=16}}
{{Infobox harmonics|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.
{{Harmonics intro|16}}
 
The smallest [[edo]] that maintains 25% or lower relative error on all intervals of this scale is [[311edo]].


== Intervals ==
== Intervals ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|-
! #
! #
! Cents
! Cents
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| 1.8125
| 1.8125
| octave-reduced 29th harmonic
| octave-reduced 29th harmonic
| [[File:Jid_7_4_pluck_adu_dr220.mp3]]
|
|-
|-
| 14
| 14
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== Scales ==
== Scales ==
''see also: [[5- to 10-tone scales from the modes of the harmonic series]]''
{{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
* 20/16
* 21/16
* 24/16
* 28/16
* 32/16
 
 
Mechanical
* 19/16
* 20/16
* 24/16
* 28/16
* 32/16
 
 
Moonbeam
* 18/16
* 19/16
* 24/16
* 30/16
* 32/16
 


Springwater
* 16:17:20:22:24:28:15:32 [[Bryan Deister|Deister]] Tune 216
* 18/16
* 16:17:20:24:28:32 Volcanic
* 20/16
* 16:18:19:24:28:32 Moonbeam
* 24/16
* 16:18:21:24:26:28:32 Canopy
* 28/16
* 16:19:20:24:28:32 Mechanical
* 32/16


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


Volcanic
; [[Bryan Deister]]
* 17/16
* [https://www.youtube.com/watch?v=fdmunv0F9WA ''my tune 216 played on 2/16 at 216hz in 17-limit JI'']
* 20/16
* 24/16
* 28/16
* 32/16


== See also ==
* [[Harmonics 8–16]]
* [[Harmonics 32–64]]


[[Category:AFDO]]
{{Navbox harmonics}}