10afdo: Difference between revisions

← 9afdo 10afdo 11afdo →
Prime factorization	2 × 5
Fifth	15/10 (701.955c)

Revision as of 07:54, 8 August 2023

10afdo (arithmetic frequency division of the octave), or 10odo (otonal division of the octave), divides the octave into ten parts of 1/10 each. As a scale it may be known as mode 10 of the harmonic series or the Over-10 scale. Unlike its half 5afdo, 10afdo is actually quite an effective scale having a minor and supermajor triad on the root.

#	Cents	Ratio	Decimal	Interval name
0	0.00	1/1	1.0000	perfect unison
1	165.00	11/10	1.1000	large undecimal neutral second
2	315.64	6/5	1.2000	just minor third
3	454.21	13/10	1.3000	tridecimal semisixth
4	582.51	7/5	1.4000	narrow tritone
5	701.96	3/2	1.50000	just perfect fifth
6	813.68	8/5	1.6000	just minor sixth
7	918.64	17/10	1.7000	septendecimal major sixth
8	1017.60	9/5	1.8000	just minor seventh
9	1111.20	19/10	1.9000	undevicesimal diminished octave
1	1200.00	2/1	2.0000	perfect octave

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 '''10afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''10odo''' ([[otonal division]] of the octave), divides the octave into ten parts of 1/10 each. As a scale it may be known as [[Harmonic mode|mode 10 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-10]] scale. Unlike its half [[5afdo]], 10afdo is actually quite an effective scale having a minor and supermajor triad on the root.
-If the base frequency is 1 Hz (or any other unit), the resulting values are 2, 3, 4, 5, 6, 7, 8, 9, 10 times bigger than the base, followed by 20, 30, 40, 50, 60, 70, 80, 90, then 200, 300, 400, 500, etc. From this perspective, 10afdo constitutes the numerical layout of a [[wikipedia: Slide rule|logarithmic ruler]].
 == Intervals ==
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 [[Category:AFDO]]
-[[Category:Sonifications]]