# List of intervals in 5-limit just intonation

The intervals of 5-limit

just intonation are ratios involving only the powers of 2, 3, and 5. The fundamental intervals are the superparticular ratios 2/1 (theoctave ), 3/2 (theperfect fifth ) and 5/4 (themajor third ). That is, the notes of the major triad are in the ratio 2:5/4:3/2 or 4:5:6.In all tunings, the

major third is equivalent to twomajor second s. However, because just intonation does not allow the irrational ratio of √5/2, two different frequency ratios are used: themajor tone (9/8) and theminor tone (10/9).The intervals within the

diatonic scale are shown in the table below.

*Wikimedia Foundation.
2010.*

### Look at other dictionaries:

**Just intonation**— In music, just intonation is any musical tuning in which the frequencies of notes are related by ratios of whole numbers. Any interval tuned in this way is called a just interval; in other words, the two notes are members of the same harmonic… … Wikipedia**List of musical intervals**— Background= Some terminology used in list: * In music, the prime limit (henceforth referred to simply as the limit ) is a number measuring the harmony of an interval. The lower the number, the more consonant the interval is considered to be. It… … Wikipedia**Pythagorean interval**— In musical tuning theory, a Pythagorean interval is a musical interval with frequency ratio equal to a power of two divided by a power of three, or vice versa. For instance, the perfect fifth with ratio 3/2 (equivalent to 31/21) and the perfect… … Wikipedia**Semitone**— This article is about the musical interval. For the printing method, see halftone. semitone Inverse major seventh (for minor second); diminished octave (for augmented unison); augmented octave (for diminished unison) Name Other names minor second … Wikipedia**Syntonic comma**— on C Play (help· … Wikipedia**Interval (music)**— For the album by See You Next Tuesday, see Intervals (album). Melodic and harmonic intervals. … Wikipedia**Tritone**— For other uses, see Tritone (disambiguation). tritone Inverse tritone Name Other names augmented fourth, diminished fifth Abbreviation TT Size … Wikipedia**Meantone temperament**— is a musical temperament, which is a system of musical tuning. In general, a meantone is constructed the same way as Pythagorean tuning, as a stack of perfect fifths, but in meantone, each fifth is narrow compared to the ratio 27/12:1 in 12 equal … Wikipedia**Musical tuning**— Open string redirects here. For the concept in string theory, see String (physics). Two differently tuned thirds: Just major third … Wikipedia**Comma (music)**— Syntonic comma on C Play ( … Wikipedia