16afdo: Difference between revisions

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-{{Infobox ADO|steps=16}}
+{{Infobox AFDO|steps=16}}
-'''16ado''' is the [[ADO|arithmetic equal division of the octave]] into 16 parts of 1/16 each. 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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 | 1.9375
 | octave-reduced 31st harmonic
-| [[File:Jid_31_16_pluck_adu_dr220.mp3]
+| [[File:Jid_31_16_pluck_adu_dr220.mp3]]
 |-
 | 16
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 |}
-[[Category:ADO]]
+== 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}}
+* 16:17:20:22:24:28:15:32 [[Bryan Deister|Deister]] Tune 216
+* 16:17:20:24:28:32 Volcanic
+* 16:18:19:24:28:32 Moonbeam
+* 16:18:21:24:26:28:32 Canopy
+* 16:19:20:24:28:32 Mechanical
+== 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'']
+== See also ==
+* [[8afdo]]
+* [[32afdo]]