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{{Infobox ADO|steps=14}}
{{Infobox ADO|steps=14}}
'''14ado''' ([[ADO|arithmetic division of the octave]]), or '''14-ODO''' ([[otonal division]] of the octave), divides the octave into 14 parts of 1/14 each. 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.
'''14ado''' ([[ADO|arithmetic division of the octave]]), or '''14odo''' ([[otonal division]] of the octave), divides the octave into 14 parts of 1/14 each. 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==
==Theory==
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. 14ado cocntains supraminor and supermajor triads above the root.
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. 14ado cocntains supraminor and supermajor triads above the root.

Revision as of 04:22, 1 April 2023

Template:Infobox ADO 14ado (arithmetic division of the octave), or 14odo (otonal division of the octave), divides the octave into 14 parts of 1/14 each. As a scale it may be known as mode 14 of the harmonic series or the Over-14 scale.

Theory

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. 14ado cocntains supraminor and supermajor triads above the root.

Intervals

# 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
2 231.2 8/7 1.1429 supermajor second
3 336.1 17/14 1.2149 septendecimal supraminor third
4 435.1 9/7 1.2857 supermajor third
5 528.7 19/14 1.3571 hendrix fourth
6 617.5 10/7 1.4286 high tritone
7 702.0 3/2 1.5000 just perfect fifth
8 782.4 11/7 1.5714 undecimal minor sixth
9 859.4 23/14 1.6428 vicesimotertial neutral sixth
10 933.1 12/7 1.7143 supermajor sixth
11 1003.8 25/14 1.7857 (septimal) middle minor seventh
12 1071.7 13/7 1.8571 tridecimal submajor seventh
13 1137.0 27/14 1.9286 septimal major seventh
14 1200.0 2/1 2.0000 perfect octave

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