Harmonics 14–28
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
- 14:15:18:19:21:22:26:28 Apex[idiosyncratic term]
- 14:16:18:21:24:28 14afdo septimal minor pentatonic