10afdo

Revision as of 18:19, 22 March 2023 by Eliora (talk | contribs) (+real-life sonifications as all logarithmic or slide rulers are 10ado in essence)

Template:Infobox ADO 10ado is the arithmetic equal division of the octave into ten parts of 1/10 each. Unlike it's half 5ado, 10ado 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, 10ado constitutes the numerical layout of a logarithmic ruler.

Intervals

# Cents Ratio Decimal Interval name Audio
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 1.40000 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