16afdo: Difference between revisions
CompactStar (talk | contribs) Created page with "{{Infobox ADO|steps=16}} '''16ado''' is the arithmetic equal division of the octave into 16 parts of 1/16 each. Because 16 is a power of 2, 16ado corresponds to the 16..." |
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{{Infobox | {{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. 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 == | == Intervals == | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|- | |||
! # | ! # | ||
! Cents | ! Cents | ||
| Line 37: | Line 41: | ||
| 1.1875 | | 1.1875 | ||
| otonal minor third | | otonal minor third | ||
| [[File: | | [[File:Jid_19_16_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| 4 | | 4 | ||
| Line 121: | Line 125: | ||
| 1.9375 | | 1.9375 | ||
| octave-reduced 31st harmonic | | octave-reduced 31st harmonic | ||
| [[File:Jid_31_16_pluck_adu_dr220.mp3] | | [[File:Jid_31_16_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| 16 | | 16 | ||
| Line 131: | Line 135: | ||
|} | |} | ||
[[ | == 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''] | |||