13afdo
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| Prime factorization | 13 (prime) |
| Fifth | 20/13 (745.786c) |
| Dual sharp fifth | 20/13 (745.786c) |
| Dual flat fifth | 19/13 (656.985c) |
13afdo (arithmetic frequency division of the octave), or 13odo (otonal division of the octave), divides the octave into thirteen parts of 1/13 each. As a scale it may be known as mode 13 of the harmonic series or the Over-13 scale. Due to being odd, it does not contain a perfect fifth above the root.
Intervals
| # | Cents | Ratio | Decimal | Interval name | Audio |
|---|---|---|---|---|---|
| 0 | 0.00 | 1/1 | 1.0000 | perfect unison | |
| 1 | 128.30 | 14/13 | 1.0769 | tridecimal supraminor second | |
| 2 | 247.74 | 15/13 | 1.1538 | subminor third | |
| 3 | 359.47 | 16/13 | 1.23077 | (greater) tridecimal neutral third | |
| 4 | 464.42 | 17/13 | 1.3077 | septendecimal subfourth | |
| 5 | 563.38 | 18/13 | 1.3846 | tridecimal augmented fourth | |
| 6 | 656.99 | 19/13 | 1.4615 | undevicesimal subfifth | |
| 7 | 745.79 | 20/13 | 1.53846 | tridecimal semitenth | |
| 8 | 830.25 | 21/13 | 1.61539 | tridecimal supraminor sixth | |
| 9 | 910.79 | 22/13 | 1.69231 | tridecimal major sixth | |
| 10 | 987.75 | 23/13 | 1.76923 | vicesimotertial minor seventh | |
| 11 | 1061.43 | 24/13 | 1.84615 | tridecimal neutral seventh | |
| 12 | 1132.09 | 25/13 | 1.92308 | lesser tridecimal diminished octave | |
| 13 | 1200.0 | 2/1 | 2.0000 | perfect octave |