Interval Size
Here are the sizes of some common intervals in this system:
interval name | size (steps) | size (cents) | just ratio | just (cents) | error |
perfect fifth | 13 | 709.09 | 3:2 | 701.95 | +7.14 |
septendecimal tritone | 11 | 600 | 17:12 | 603.00 | −3.00 |
septimal tritone | 11 | 600 | 7:5 | 582.51 | +17.49 |
11:8 wide fourth | 10 | 545.45 | 11:8 | 551.32 | −5.87 |
15:11 wide fourth | 10 | 545.45 | 15:11 | 536.95 | +8.50 |
perfect fourth | 9 | 490.91 | 4:3 | 498.05 | −7.14 |
septendecimal supermajor third | 8 | 436.36 | 22:17 | 446.36 | −10.00 |
septimal major third | 8 | 436.36 | 9:7 | 435.08 | +1.28 |
undecimal major third | 8 | 436.36 | 14:11 | 417.51 | +18.86 |
major third | 7 | 381.82 | 5:4 | 386.31 | −4.49 |
undecimal neutral third | 6 | 327.27 | 11:9 | 347.41 | −20.14 |
septendecimal supraminor third | 6 | 327.27 | 17:14 | 336.13 | −8.86 |
minor third | 6 | 327.27 | 6:5 | 315.64 | +11.63 |
septendecimal augmented second | 5 | 272.73 | 20:17 | 281.36 | −8.63 |
septimal minor third | 5 | 272.73 | 7:6 | 266.88 | +5.85 |
septimal whole tone | 4 | 218.18 | 8:7 | 231.17 | −12.99 |
(17:15) ratio | 4 | 218.18 | 17:15 | 216.69 | +1.50 |
whole tone, major tone | 4 | 218.18 | 9:8 | 203.91 | +14.27 |
whole tone, minor tone | 3 | 163.63 | 10:9 | 182.40 | −18.77 |
neutral second, greater undecimal | 3 | 163.64 | 11:10 | 165.00 | −1.37 |
neutral second, lesser undecimal | 3 | 163.64 | 12:11 | 150.64 | +13.00 |
septimal diatonic semitone | 2 | 109.09 | 15:14 | 119.44 | −10.35 |
diatonic semitone, just | 2 | 109.09 | 16:15 | 111.73 | −2.64 |
17th harmonic | 2 | 109.09 | 17:16 | 104.95 | +4.13 |
Arabic lute index finger | 2 | 109.09 | 18:17 | 98.95 | +10.14 |
septimal chromatic semitone | 2 | 109.09 | 21:20 | 84.47 | +24.62 |
chromatic semitone, just | 1 | 54.55 | 25:24 | 70.67 | −16.13 |
septimal third-tone | 1 | 54.55 | 28:27 | 62.96 | −8.42 |
undecimal quarter tone | 1 | 54.55 | 33:32 | 53.27 | +1.27 |
septimal quarter tone | 1 | 54.55 | 36:35 | 48.77 | +5.78 |
Read more about this topic: 22 Equal Temperament
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