30afdo
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30afdo (arithmetic frequency division of the octave), or 30odo (otonal division of the octave), divides the octave into thirty parts of 1/30 each. It is a superset of 29afdo and a subset of 31afdo. As a scale it may be known as mode 30 of the harmonic series or the Over-30 scale. Since 30 factors into primes as 2 × 3 × 5, this afdo contains many common 5-limit intervals above its root and is extremely useful for common tonal harmony.
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 | trigintaseptimal submajor third | |
| 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 | quadragesimaunal superfourth | |
| 12 | 582.5 | 7/5 | 1.4000 | small septimal tritone | |
| 13 | 623.25 | 43/30 | 1.4333 | large quadragintatertial tritone | |
| 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 | quadragintaseptimal subminor sixth | |
| 18 | 813.7 | 8/5 | 1.6000 | just minor sixth | |
| 19 | 849.4 | 49/30 | 1.6333 | septimal neutral sixth | |
| 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 | quinquagintatertial minor seventh | |
| 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 | undetricesimal supermajor seventh | |
| 29 | 1170.9 | 59/30 | 1.9667 | undexsexagesimal suboctave | |
| 30 | 1200.0 | 2/1 | 2.0000 | perfect octave |
Scales
- Mushroom: 35/30–40/30–45/30–47/30–60/30
- James Wyness' "Kai Udan Arum pelog": 32/30–35/30–40/30–44/30–47/30–54/30–60/30