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14afdo: Difference between revisions

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Created page with "{{Infobox ADO|steps=14}} 14ado is the arithmetic division of the octave into 14 parts each. ==Theory== The esoteric Factor 9 grid scale is a mode of 14ado starting on the..."
 
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→Scales: Same changes with same reasoning as made to 8afdo today
 
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{{Infobox ADO|steps=14}}
{{Infobox AFDO|steps=14}}
14ado is the arithmetic division of the octave into 14 parts each.
 
==Theory==
'''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.
The esoteric [[Factor 9 grid]] scale is a mode of 14ado starting on the 11th step from the tonic, of which 12 or 13 notes were conveniently selected for "A = 432 Hz" conspiracy purposes.
 
==Table of intervals==
== Theory ==
*1/1
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.
*15/14
 
*8/7
== Intervals ==
*17/14
{| class="wikitable center-all"
*9/7
! #
*19/14
! Cents
*10/7
! Ratio
*3/2
! Decimal
*11/7
! Interval name
*23/14
! Audio
*12/7
|-
*25/14
| 0
*13/7
| 0.0
*27/14
| [[1/1]]
*2/1
| 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.
Factor 9 grid can be obtained if the scale is rotated to start at 12/7 instead of 1/1.
== Scales ==
* 14:15:18:19:21:22:26:28 Apex{{idiosyncratic}}
* 14:16:18:21:24:28 ''14afdo septimal minor pentatonic''
Retrieved from "https://en.xen.wiki/w/14afdo"