41 equal temperament
Interval size
Columns: interval name | size (steps) | size (cents) | just ratio | just (cents) | error
perfect fifth | 24 | 702.44 | 3:2 | 701.96 | +0.48 | septimal tritone | 20 | 585.37 | 7:5 | 582.51 | +2.85 | 11:8 wide fourth | 19 | 556.1 | 11:8 | 551.32 | +4.78 | 15:11 wide fourth | 18 | 526.83 | 15:11 | 536.95 | −10.12 | 27:20 wide fourth | 18 | 526.83 | 27:20 | 519.55 | +7.28 | perfect fourth | 17 | 497.56 | 4:3 | 498.04 | −0.48 | septimal narrow fourth | 16 | 468.29 | 21:16 | 470.78 | −2.48 | septimal major third | 15 | 439.02 | 9:7 | 435.08 | +3.94 | undecimal major third | 14 | 409.76 | 14:11 | 417.51 | −7.75 | pythagorean major third | 14 | 409.76 | 81:64 | 407.82 | +1.94 | major third | 13 | 380.49 | 5:4 | 386.31 | −5.83 | inverted 13th harmonic | 12 | 351.22 | 16:13 | 359.47 | −8.25 | undecimal neutral third | 12 | 351.22 | 11:9 | 347.41 | +3.81 | minor third | 11 | 321.95 | 6:5 | 315.64 | +6.31 | pythagorean minor third | 10 | 292.68 | 32:27 | 294.13 | −1.45 | tridecimal minor third | 10 | 292.68 | 13:11 | 289.21 | +3.47 | septimal minor third | 9 | 263.41 | 7:6 | 266.87 | −3.46 | septimal whole tone | 8 | 234.15 | 8:7 | 231.17 | +2.97 | whole tone , major tone | 7 | 204.88 | 9:8 | 203.91 | +0.97 | whole tone, minor tone | 6 | 175.61 | 10:9 | 182.4 | −6.79 | lesser undecimal neutral second | 5 | 146.34 | 12:11 | 150.64 | −4.30 | septimal diatonic semitone | 4 | 117.07 | 15:14 | 119.44 | −2.37 | diatonic semitone | 4 | 117.07 | 16:15 | 111.73 | +5.34 | pythagorean diatonic semitone | 3 | 87.8 | 256:243 | 90.22 | −2.42 | septimal chromatic semitone | 3 | 87.8 | 21:20 | 84.47 | +3.34 | chromatic semitone | 2 | 58.54 | 25:24 | 70.67 | −12.14 | 28:27 semitone | 2 | 58.54 | 28:27 | 62.96 | −4.42 | septimal comma | 1 | 29.27 | 64:63 | 27.26 | +2.00