8afdo

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Prime factorization 23
Fifth 12/8 (701.955c)

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 and 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

Music

Dante Rosati