View source for 14afdo

{{Infobox AFDO|steps=14}}

'''14afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''14odo''' ([[otonal division]] of the octave), divides the octave into 14 parts of 1/14 each. It is a superset of [[13afdo]] and a subset of [[15afdo]]. As a scale it may be known as [[Harmonic mode|mode 14 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-14]] scale.

== Theory ==
The esoteric [[Factor 9 grid]] scale is a mode of 14afdo starting on the 11th step from the tonic, of which 12 or 13 notes were conveniently selected for "A = 432 Hz" conspiracy purposes. 14afdo contains [[supraminor]] and [[supermajor]] triads above the root.

== Intervals ==
{| class="wikitable center-all"
! #
! Cents
! Ratio
! Decimal
! Interval name
! Audio
|-
| 0
| 0.0
| [[1/1]]
| 1.0000
| perfect unison
|
|-
| 1
| 119.4
| [[15/14]]
| 1.0714
| septimal diatonic semitone
| [[File:Jid_15_14_pluck_adu_dr220.mp3]]
|-
| 2
| 231.2
| [[8/7]]
| 1.1429
| supermajor second
| [[File:Jid_8_7_pluck_adu_dr220.mp3]]
|-
| 3
| 336.1
| [[17/14]]
| 1.2149
| septendecimal supraminor third
| [[File:Jid_17_14_pluck_adu_dr220.mp3]]
|-
| 4
| 435.1
| [[9/7]]
| 1.2857
| supermajor third
| [[File:Jid_9_7_pluck_adu_dr220.mp3]]
|-
| 5
| 528.7
| [[19/14]]
| 1.3571
| hendrix fourth
| [[File:Jid_19_14_pluck_adu_dr220.mp3]]
|-
| 6
| 617.5
| [[10/7]]
| 1.4286
| high tritone
| [[File:Jid_10_7_pluck_adu_dr220.mp3]]
|-
| 7
| 702.0
| [[3/2]]
| 1.5000
| just perfect fifth
| [[File:Jid_3_2_pluck_adu_dr220.mp3]]
|-
| 8
| 782.4
| [[11/7]]
| 1.5714
| undecimal minor sixth
| [[File:Jid_11_7_pluck_adu_dr220.mp3]]
|-
| 9
| 859.4
| [[23/14]]
| 1.6428
| vicesimotertial neutral sixth
| [[File:Jid_23_14_pluck_adu_dr220.mp3]]
|-
| 10
| 933.1
| [[12/7]]
| 1.7143
| supermajor sixth
| [[File:Jid_12_7_pluck_adu_dr220.mp3]]
|-
| 11
| 1003.8
| [[25/14]]
| 1.7857
| (septimal) middle minor seventh
| [[File:Jid_25_14_pluck_adu_dr220.mp3]]
|-
| 12
| 1071.7
| [[13/7]]
| 1.8571
| tridecimal submajor seventh
| [[File:Jid_13_7_pluck_adu_dr220.mp3]]
|-
| 13
| 1137.0
| [[27/14]]
| 1.9286
| septimal major seventh
| [[File:Jid_27_14_pluck_adu_dr220.mp3]]
|-
| 14
| 1200.0
| [[2/1]]
| 2.0000
| perfect octave
| [[File:Jid_2_1_pluck_adu_dr220.mp3]]
|}

Factor 9 grid can be obtained if the scale is rotated to start at 12/7 instead of 1/1.

== Scales ==
Apex: 15/14–18/14–19/14–21/14–22/14–26/14–28/14 (original/default tuning for Apex)