14afdo: Difference between revisions
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{{Infobox AFDO|steps=14}} | {{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. 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. | '''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 == | == Theory == | ||
| Line 124: | Line 124: | ||
== Scales == | == Scales == | ||
* Apex{{idiosyncratic}}: 15/14–18/14–19/14–21/14–22/14–26/14–28/14 (original/default tuning for apex) | |||
Apex: 15/14 | * 14afdo septimal minor pentatonic: 16/14 - 18/14 - 21/14 - 24/14 - 28/14 | ||
Latest revision as of 09:24, 15 August 2025
14afdo (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 mode 14 of the harmonic series or the 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
| # | 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.
Scales
- Apex[idiosyncratic term]: 15/14–18/14–19/14–21/14–22/14–26/14–28/14 (original/default tuning for apex)
- 14afdo septimal minor pentatonic: 16/14 - 18/14 - 21/14 - 24/14 - 28/14