Otones8-16

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"Otones 8-16" refers to a scale generated by taking the 8th through 16th overtone over some fundamental. Dante Rosati calls this the "Diatonic Harmonic Series Scale" and Denny Genovese calls this "Mode 8 of the Harmonic Series". It may be treated as octave-repeating, or not. The frequency ratio between the steps of the scale can be represented as 8:9:10:11:12:13:14:15:16. Note that 16, being a doubling of 8, is an octave above the first tone.

Otones 8-16 contains eight tones in the octave and eight different step sizes. The steps get smaller as the scale ascends:

harmonic ratio from 1/1 ratio in between ("step") names cents value, scale member cents value, step
8 1/1 unison, perfect prime 0.00
9:8 large whole step; Pythagorean whole step; major whole tone 203.91
9 9/8 large whole step; Pythagorean whole step; major whole tone 203.91
10:9 small whole step; 5-limit whole step; minor whole tone 182.40
10 5/4 5-limit major third 386.31
11:10 large undecimal neutral second, 4/5-tone, Ptolemy's second 165.00
11 11/8 undecimal semi-augmented fourth 551.32
12:11 small undecimal neutral second, 3/4-tone 150.64
12 3/2 just perfect fifth 701.955
13:12 large tridecimal neutral second, tridecimal 2/3 tone 138.57
13 13/8 tridecimal neutral sixth 840.53
14:13 small tridecimal neutral second; lesser tridecimal 2/3 tone 128.30
14 7/4 harmonic seventh 968.83
15:14 septimal minor second; major diatonic semitone 119.44
15 15/8 5-limit major seventh; classic major seventh 1088.27
16:15 5-limit minor second; classic minor second; minor diatonic semitone 111.73
16 2/1 perfect octave 1200.00

Compositions:

Paracelsus for Diatonic Harmonic Guitar by Dante Rosati

No Snow for Diatonic Harmonic Guitar by Dante Rosati