13afdo: Difference between revisions

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| 1.92308
| 1.92308
| lesser tridecimal diminished octave
| lesser tridecimal diminished octave
| [[File:Jid_25_13_pluck_adu_dr220.mp3]]
| [[File:Ji-25-13-csound-foscil-220hz.mp3]]
|-
|-
| 13
| 13

Revision as of 23:22, 13 April 2023

← 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 1.0769 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