List of intervals in 5-limit just intonation


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 (the octave), 3/2 (the perfect fifth) and 5/4 (the major 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 two major seconds. However, because just intonation does not allow the irrational ratio of √5/2, two different frequency ratios are used: the major tone (9/8) and the minor 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


Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”

We are using cookies for the best presentation of our site. Continuing to use this site, you agree with this.