Otones8-16

"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