34 equal temperament
Interval size
Columns: interval name | size (steps) | size (cents) | just ratio | just (cents) | error
perfect fifth | 20 | 705.88 | 3:2 | 701.95 | +3.93 | septendecimal tritone | 11 | 600 | 17:12 | 603 | −3.00 | lesser septimal tritone | 17 | 600 | 7:5 | 582.51 | +17.49 | tridecimal narrow tritone | 17 | 564.71 | 18:13 | 563.38 | +1.32 | 11:8 wide fourth | 16 | 564.71 | 11:8 | 551.32 | +13.39 | undecimal wide fourth | 15 | 529.41 | 15:11 | 536.95 | −7.54 | perfect fourth | 14 | 494.12 | 4:3 | 498.04 | −3.93 | tridecimal major third | 12 | 458.82 | 13:10 | 454.21 | +4.61 | septimal major third | 12 | 423.53 | 9:7 | 435.08 | −11.55 | undecimal major third | 12 | 423.53 | 14:11 | 417.51 | +6.02 | major third | 11 | 388.24 | 5:4 | 386.31 | +1.92 | tridecimal neutral third | 10 | 352.94 | 16:13 | 359.47 | −6.53 | undecimal neutral third | 10 | 352.94 | 11:9 | 347.41 | +5.53 | minor third | 9 | 317.65 | 6:5 | 315.64 | +2.01 | tridecimal minor third | 8 | 282.35 | 13:11 | 289.21 | −6.86 | septimal minor third | 8 | 282.35 | 7:6 | 266.87 | +15.48 | tridecimal semimajor second | 7 | 247.06 | 15:13 | 247.74 | −0.68 | septimal whole tone | 7 | 247.06 | 8:7 | 231.17 | +15.88 | whole tone, major tone | 6 | 211.76 | 9:8 | 203.91 | +7.85 | whole tone, minor tone | 5 | 176.47 | 10:9 | 182.4 | −5.93 | neutral second , greater undecimal | 5 | 176.47 | 11:10 | 165 | +11.47 | neutral second, lesser undecimal | 4 | 141.18 | 12:11 | 150.64 | −9.46 | greater tridecimal 2/3-tone | 4 | 141.18 | 13:12 | 138.57 | +2.60 | lesser tridecimal 2/3-tone | 4 | 141.18 | 14:13 | 128.3 | +12.88 | 15:14 semitone | 3 | 105.88 | 15:14 | 119.44 | −13.56 | diatonic semitone | 3 | 105.88 | 16:15 | 111.73 | −5.85 | 17th harmonic | 3 | 105.88 | 17:16 | 104.96 | +0.93 | 21:20 semitone | 2 | 70.59 | 21:20 | 84.47 | −13.88 | chromatic semitone | 2 | 70.59 | 25:24 | 70.67 | −0.08 | 28:27 semitone | 2 | 70.59 | 28:27 | 62.96 | +7.63 | septimal sixth-tone | 1 | 35.29 | 50:49 | 34.98 | +0.31