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{{Infobox ADO|steps=30}} | {{Infobox ADO|steps=30}} | ||
'''30ado''' is the [[ADO|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. | '''30ado''' is the [[ADO|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. | ||
| Line 24: | Line 23: | ||
|1.0333 | |1.0333 | ||
|large tricesimoprimal quartertone | |large tricesimoprimal quartertone | ||
| | |[[File:Jid_31_30_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
|2 | |2 | ||
| Line 31: | Line 30: | ||
|1.0667 | |1.0667 | ||
|classic diatonic semitone | |classic diatonic semitone | ||
| | |[[File:Jid_16_15_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
|3 | |3 | ||
| Line 38: | Line 37: | ||
|1.1000 | |1.1000 | ||
|undecimal submajor second | |undecimal submajor second | ||
| | |[[File:Jid_11_10_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
|4 | |4 | ||
| Line 45: | Line 44: | ||
|1.1333 | |1.1333 | ||
|septendecimal whole tone | |septendecimal whole tone | ||
| | |[[File:Jid_17_15_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| 5 | | 5 | ||
| Line 59: | Line 58: | ||
|1.2000 | |1.2000 | ||
|just minor third | |just minor third | ||
| | |[[File:Jid_6_5_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
|7 | |7 | ||
| Line 73: | Line 72: | ||
|1.2667 | |1.2667 | ||
|Eratosthenes' major third | |Eratosthenes' major third | ||
| | |[[File:Jid_19_15_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
|9 | |9 | ||
| Line 80: | Line 79: | ||
|1.3000 | |1.3000 | ||
|tridecimal semisixth | |tridecimal semisixth | ||
| | |[[File:Jid_13_10_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| 10 | | 10 | ||
| Line 101: | Line 100: | ||
|1.4000 | |1.4000 | ||
|small septimal tritone | |small septimal tritone | ||
| | |[[File:Jid_7_5_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
|13 | |13 | ||
| Line 115: | Line 114: | ||
|1.4667 | |1.4667 | ||
|undecimal diminished fifth | |undecimal diminished fifth | ||
| | |[[File:Jid_22_15_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| 15 | | 15 | ||
| Line 129: | Line 128: | ||
|1.5333 | |1.5333 | ||
|vicesimotertial ultraminor sixth | |vicesimotertial ultraminor sixth | ||
| | |[[File:Jid_23_15_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
|17 | |17 | ||
| Line 143: | Line 142: | ||
|1.6000 | |1.6000 | ||
|just minor sixth | |just minor sixth | ||
| | |[[File:Jid_8_5_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
|19 | |19 | ||
| Line 164: | Line 163: | ||
|1.7000 | |1.7000 | ||
|septendecimal major sixth | |septendecimal major sixth | ||
| | |[[File:Jid_17_10_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
|22 | |22 | ||
| Line 171: | Line 170: | ||
|1.7333 | |1.7333 | ||
|tridecimal semitwelfth | |tridecimal semitwelfth | ||
| | |[[File:Jid_26_15_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
|23 | |23 | ||
| Line 185: | Line 184: | ||
|1.8000 | |1.8000 | ||
|just minor seventh | |just minor seventh | ||
| | |[[File:Jid_9_5_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| 25 | | 25 | ||
| Line 199: | Line 198: | ||
|1.8667 | |1.8667 | ||
|septimal grave major seventh | |septimal grave major seventh | ||
| | |[[File:Jid_28_15_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
|27 | |27 | ||
| Line 206: | Line 205: | ||
|1.9000 | |1.9000 | ||
|Eratosthenes' major seventh | |Eratosthenes' major seventh | ||
| | |[[File:Jid_19_10_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
|28 | |28 | ||
| Line 213: | Line 212: | ||
|1.9333 | |1.9333 | ||
| | | | ||
| | |[[File:Jid_29_15_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
|29 | |29 | ||
Revision as of 23:34, 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 | File:Jid 31 30 pluck adu dr220.mp3 |
| 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 | File:Jid 29 15 pluck adu dr220.mp3 | |
| 29 | 1170.9 | 59/30 | 1.9667 | ||
| 30 | 1200.0 | 2/1 | 2.0000 | perfect octave |