14afdo
(Redirected from 14ado)
Jump to navigation
Jump to search
14afdo (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 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 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.
Scales
Apex: 15/14 - 18/14 - 19/14 - 21/14 - 22/14 - 26/14 - 28/14 (original/default tuning for Apex)