
Just intonation - Wikipedia
In music, just intonation or pure intonation is a tuning system in which the space between notes' frequencies (called intervals) is a whole number ratio. Intervals spaced in this way are said to …
Just Intonation Explained - Kyle Gann
On a piano in just intonation, moving from one tonic to another changes the whole interval makeup of the key, and you get a really specific, visceral feel for where you are on the pitch map.
The Why, How and Wherefore - Sound American
What is Just Intonation? Just intonation (hereinafter “JI”) is any system of tuning in which all of the intervals can be represented by ratios of whole numbers, with a strongly implied preference for …
Just intonation | Just Intonation, Tuning Systems, Microtonal …
Supposedly used in medieval monophonic music (melody only, without harmony) and considerably discussed by theorists, just intonation proved impractical for polyphonic …
Musical Mathematics: Just Intonation - The Chrysalis Foundation
The term just intonation has two different definitions. The first is ancient and strictly mathematical. It states that just intonation is a method of tuning intervals and scales based exclusively on …
Just Intonation
The system of tuning (to the extent possible) by pure intervals is known as “just intonation.”
The Just Intonation Primer, by David B. Doty
With 84 pages of text and over 50 charts and diagrams, The Just Intonation Primer explains the essential concepts of Just Intonation in terms that practicing composers and musicians will …
Introduction to Just or Rational Intonation (JI) - Tuning
JI is an acronym for "just intonation," or, more accurately, "rational intonation," a system of tuning in which every interval is tuned according to a harmonic series.
Just Intonation - Florida International University
Admittedly, several sound qualities had to be experimented with to find one in which the fragments above actually and plainly expose the difference between tempered and ordinary …
Just intonation - Xenharmonic Wiki
Dec 15, 2025 · Just intonation (JI) is an approach to musical tuning which uses tones whose frequencies are whole-number ratios of a given fundamental frequency.