13afdo

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← 12afdo 13afdo 14afdo →
Prime factorization 13 (prime)
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 1.0833 tridecimal supraminor second
2 247.7 15/13 1.1667 subminor third
3 386.3 5/4 1.2500 just major third
4 498.0 4/3 1.3333 just perfect fourth
5 603.0 17/12 1.41667 larger septendecimal tritone
6 702.0 3/2 1.50000 just perfect fifth
7 792.6 19/12 1.58333 large undevicesimal minor sixth
8 884.4 5/3 1.66667 just major sixth
9 968.8 7/4 1.75000 harmonic seventh
10 1049.3 11/6 1.83333 undecimal neutral sixth
11 1126.3 23/12 1.91667 vicesimotertial major seventh
12 1200.0 2/1 2.0000 perfect octave