Interval Size
The following table outlines some of the intervals of this tuning system and their match to various ratios in the harmonic series.
| 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 | 603.00 | −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 | 182.40 | −5.93 |
| neutral second, greater undecimal | 5 | 176.47 | 11:10 | 165.00 | +11.47 |
| neutral second, lesser undecimal | 4 | 141.18 | 12:11 | 150.64 | −9.46 |
| greater tridecimal 2/3-tone | 2 | 141.18 | 13:12 | 138.57 | +2.60 |
| lesser tridecimal 2/3-tone | 2 | 141.18 | 14:13 | 128.30 | +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 |
Read more about this topic: 34 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)