View source for 16afdo

{{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.

== Intervals ==
{| class="wikitable center-all"
! #
! Cents
! Ratio
! Decimal
! Interval name
! Audio
|-
| 0
| 0
| [[1/1]]
| 1.0000
| perfect unison
|
|-
| 1
| 104.96
| [[17/16]]
| 1.0625
| large septendecimal semitone
| [[File:Jid_17_16_pluck_adu_dr220.mp3]]
|-
| 2
| 203.91
| [[9/8]]
| 1.1250
| whole tone
| [[File:Jid_9_8_pluck_adu_dr220.mp3]]
|-
| 3
| 297.51
| [[19/16]]
| 1.1875
| otonal minor third
| [[File:Jid_19_16_pluck_adu_dr220.mp3]]
|-
| 4
| 386.31
| [[5/4]]
| 1.2500
| just major third
| [[File:Jid_5_4_pluck_adu_dr220.mp3]]
|-
| 5
| 470.78
| [[21/16]]
| 1.3125
| septimal subfourth
| [[File:Jid_21_16_pluck_adu_dr220.mp3]]
|-
| 6
| 551.32
| [[11/8]]
| 1.3750
| undecimal superfourth
| [[File:Jid_11_8_pluck_adu_dr220.mp3]]
|-
| 7
| 628.27
| [[23/16]]
| 1.4375
| octave-reduced 23rd harmonic
| [[File:Jid_23_16_pluck_adu_dr220.mp3]]
|-
| 8
| 701.96
| [[3/2]]
| 1.5000
| just perfect fifth
| [[File:Jid_3_2_pluck_adu_dr220.mp3]]
|-
| 9
| 772.63
| [[25/16]]
| 1.5625
| classic(al) augmented fifth
| [[File:Jid_25_16_pluck_adu_dr220.mp3]]
|-
| 10
| 840.53
| [[13/8]]
| 1.6250
| lesser tridecimal neutral sixth
| [[File:Jid_13_8_pluck_adu_dr220.mp3]]
|-
| 11
| 905.87
| [[27/16]]
| 1.6875
| Pythagorean major sixth
| [[File:Jid_27_16_pluck_adu_dr220.mp3]]
|-
| 12
| 968.83
| [[7/4]]
| 1.7500
| harmonic seventh
| [[File:Jid_7_4_pluck_adu_dr220.mp3]]
|-
| 13
| 1029.58
| [[29/16]]
| 1.8125
| octave-reduced 29th harmonic
| [[File:Jid_7_4_pluck_adu_dr220.mp3]]
|-
| 14
| 1088.27
| [[15/8]]
| 1.8750
| just major seventh
| [[File:Jid_15_8_pluck_adu_dr220.mp3]]
|-
| 15
| 1145.04
| [[31/16]]
| 1.9375
| octave-reduced 31st harmonic
| [[File:Jid_31_16_pluck_adu_dr220.mp3]]
|-
| 16
| 1200.00
| [[2/1]]
| 2.0000
| perfect octave
| [[File:Jid_2_1_pluck_adu_dr220.mp3]]
|}

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

* 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 ==
* [https://m.youtube.com/watch?v=-uolE48lmto Between 16th and 32nd | Harmonic Series Experiments] by [[Ambient Esoterica]]
* [https://www.youtube.com/watch?v=fdmunv0F9WA | my tune 216 played on 2/16 at 216hz in 17-limit JI] by [[Bryan Deister]]

[[Category:AFDO]]