22 Equal Temperament - Interval Size

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

Famous quotes containing the words interval and/or size:

    The yearning for an afterlife is the opposite of selfish: it is love and praise for the world that we are privileged, in this complex interval of light, to witness and experience.
    John Updike (b. 1932)

    Crotchless trouser allows wearer to show private parts in public. Neoprene-coated nylon pack cloth is stain resistant, water repellent and tickles thighs when walking. Tan-olive shade goes with most fetishes. Adjustable straps attach to belt for good fit and easy up-down. Pant is suitable for fast exposures as well as extended engagements. One size fits all.
    Alfred Gingold, U.S. humorist. Items From Our Catalogue, “Flasher’s Pants,” Avon Books (1982)