8afdo
8afdo (arithmetic frequency division of the octave), or 8odo (otonal division of the octave), divides the octave into eight parts of 1/8 each. As a scale it may be known as mode 8 of the harmonic series or the Over-8 scale. Dante Rosati calls this the "Diatonic harmonic series scale". Because 8 is a power of 2, 8afdo corresponds to the 8th to 16th harmonics octave-reduced. 8afdo is a highly effective scale. Above its root it contains many commonly-used intervals such as 9/8, 5/4, 3/2, 7/4, 15/8, and 2/1.
Intervals
| # | Cents | Ratio | Decimal | Interval name | Audio |
|---|---|---|---|---|---|
| 0 | 0 | 1/1 | 1.0000 | perfect unison | |
| 1 | 203.91 | 9/8 | 1.1250 | whole tone | |
| 2 | 386.31 | 5/4 | 1.2500 | just major third | |
| 3 | 551.32 | 11/8 | 1.3750 | undecimal superfourth | |
| 4 | 701.96 | 3/2 | 1.5000 | just perfect fifth | |
| 5 | 840.53 | 13/8 | 1.6250 | lesser tridecimal neutral sixth | |
| 6 | 968.83 | 7/4 | 1.7500 | harmonic seventh | |
| 7 | 1088.27 | 15/8 | 1.8750 | just major seventh | |
| 8 | 1200.00 | 2/1 | 2.0000 | perfect octave |
Scales
- Otonalpentad a.k.a. springwater: 9/8-10/8-12/8-14/8-16/8