9afdo
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| Prime factorization | 32 |
| Fifth | 14/9 (764.915c) |
| Dual sharp fifth | 14/9 (764.915c) |
| Dual flat fifth | 13/9 (636.617c) |
9afdo (arithmetic frequency division of the octave), or 9odo (otonal division of the octave), divides the octave into nine parts of 1/9 each. As a scale it may be known as mode 9 of the harmonic series or the Over-9 scale. As 9 is a small odd number, this AFDO does not contain a perfect fifth above the root.
Intervals
| # | Cents | Ratio | Decimal | Interval name | Audio |
|---|---|---|---|---|---|
| 0 | 0 | 1/1 | 1.0000 | perfect unison | |
| 1 | 182.4 | 10/9 | 1.1111 | small whole tone | |
| 2 | 347.4 | 11/9 | 1.2222 | undecimal neutral third | |
| 3 | 498.0 | 4/3 | 1.3333 | undecimal neutral third | |
| 4 | 636.6 | 13/9 | 1.4444 | tridecimal diminished fifth | |
| 5 | 764.9 | 14/9 | 1.5556 | subminor sixth | |
| 6 | 884.4 | 5/3 | 1.6667 | just major sixth | |
| 7 | 996.1 | 16/9 | 1.7778 | Pythagorean minor seventh | |
| 8 | 1101.0 | 17/9 | 1.8889 | large septendecimal major seventh | |
| 9 | 1200.0 | 2/1 | 2.0000 | perfect octave |