30afdo: Difference between revisions

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Revision as of 23:36, 21 March 2023

Template:Infobox ADO 30ado is the arithmetic equal division of the octave into thirty parts of 1/30 each. Due to 30 being 2*3*5, this ADO contains many common 5-limit intervals and is extremely useful.

Intervals

# Cents Ratio Decimal Interval name Audio
0 0 1/1 1.000 perfect unison
1 56.2 31/30 1.0333 large tricesimoprimal quartertone
2 111.7 16/15 1.0667 classic diatonic semitone
3 165.0 11/10 1.1000 undecimal submajor second
4 216.7 17/15 1.1333 septendecimal whole tone
5 266.9 7/6 1.1667 subminor third
6 315.6 6/5 1.2000 just minor third
7 363.1 37/30 1.2333
8 409.2 19/15 1.2667 Eratosthenes' major third
9 454.2 13/10 1.3000 tridecimal semisixth
10 498.0 4/3 1.3333 just perfect fourth
11 540.8 41/30 1.3667
12 582.5 7/5 1.4000 small septimal tritone
13 623.25 43/30 1.4333
14 663.05 22/15 1.4667 undecimal diminished fifth
15 702.0 3/2 1.5000 just perfect fifth
16 740.0 23/15 1.5333 vicesimotertial ultraminor sixth File:Jid 23 15 pluck adu dr220.mp3
17 777.2 47/30 1.5667
18 813.7 8/5 1.6000 just minor sixth
19 849.4 49/30 1.6333
20 884.5 5/3 1.6667 just major sixth
21 918.6 17/10 1.7000 septendecimal major sixth
22 952.3 26/15 1.7333 tridecimal semitwelfth
23 985.2 53/30 1.7667
24 1017.6 9/5 1.8000 just minor seventh
25 1049.4 11/6 1.8333 undecimal neutral seventh
26 1080.6 28/15 1.8667 septimal grave major seventh
27 1111.2 19/10 1.9000 Eratosthenes' major seventh
28 1141.3 29/15 1.9333
29 1170.9 59/30 1.9667
30 1200.0 2/1 2.0000 perfect octave