In music, just intonation or pure intonation is the tuning of musical intervals as whole number ratios (such as 3:2 or 4:3) of frequencies. An interval...

lesser diesis of ratio 128:125 or 41.1 cents. 12-tone scales tuned in just intonation typically define three or four kinds of semitones. For instance, Asymmetric...

the root and fifth. Another tuning system that is used is just intonation. In just intonation, a major chord is tuned to the frequency ratio 4:5:6. This...

than the 300 cent ET minor third. Other just minor chord tunings include the supertonic triad in just intonation (27:32:40) the false minor triad, Play...

mechanical tuning limitations, sometimes use a tuning much closer to just intonation for acoustic reasons. Other instruments, such as some wind, keyboard...

proportions (C–G–D–A–E). Considering the anhemitonic scale as a subset of a just diatonic scale, it is tuned thus: 20:24:27:30:36 (A–C–D–E–G = 5⁄6–1⁄1–9⁄8–5⁄4–3⁄2)...

1934–2006, just intonation, 72-tone equal temperament) Terry Riley (U.S.A., b. 1935, just intonation) La Monte Young (U.S.A., b. 1935, just intonation) John...

with an exact frequency ratio of 3:2 (the system of tuning known as just intonation), this is not the case (the circle does not "close"). The circle of...

is a tuning system that slightly compromises the pure intervals of just intonation to meet other requirements. Most modern Western musical instruments...

repeats. Below are Ogg Vorbis files demonstrating the difference between just intonation and equal temperament. You might need to play the samples several times...

sixth ratio. John Fonville (Summer 1991). "Ben Johnston's Extended Just Intonation: A Guide for Interpreters". Perspectives of New Music. 29 (2): 109...

centuries, share a similar asymmetry. In Pythagorean tuning (i.e. 3-limit just intonation) the chromatic scale is tuned as follows, in perfect fifths from G♭...

that are mathematically exact for just intonation, which meantone temperaments seek to approximate. In just intonation, a minor chord is often (but not...

diminished third, are also called tones, whole tones, or whole steps. In just intonation, major seconds can occur in at least two different frequency ratios:...

tempered fifth, or by a combination of perfect fifths and perfect thirds (Just intonation), or possibly by a combination of fifths and thirds of various sizes...

characteristics, and advantages and disadvantages. The main ones are: Just intonation In just intonation, the frequencies of the scale notes are related to one another...

This is a list of a selection of musical compositions in just intonation composed since 1900. List of quarter tone pieces "His Music". harrypartch. Retrieved...

it may function as a quarter tone, a fifth-tone or a sixth-tone. In just intonation the quarter tone can be represented by the septimal quarter tone, 36:35...

Pythagorean intonation as that will make the scale sound best in tune, then reverting to other temperaments for other passages (just intonation for chordal...

diesis (128:125) less than a perfect octave: A4 + A4 = P8 − diesis. In just intonation several different sizes can be chosen both for the A4 and the d5. For...

fifth from the root is also present or implied). A minor third, in just intonation, corresponds to a pitch ratio of 6:5 or 315.64 cents. In an equal tempered...

ratio of their frequencies. When a musical instrument is tuned using a just intonation tuning system, the size of the main intervals can be expressed by small-integer...

\end{alignedat}}} The intervals of 12-ET closely approximate some intervals in just intonation. 12 ET is very accurate in the 3 limit, but as one increases prime...

poorly), while the major seventh chord approximates 8:10:12:15. In just intonation, intervals between pitches are drawn from the rational numbers. Since...

blue notes are intervals of just intonation not derived from European 12-tone equal temperament tuning. Just intonation musical intervals derive directly...

and Austria to play these notes in position, where they will have just intonation (see harmonic seventh as well for A♭4). The next higher partials—B♭4...

possible "just ratios" defined for this interval in just intonation (slightly below the width of a minor seventh as tuned in equal temperament). With just intonation...

harmonies. Hence, 5-limit tuning is considered a method for obtaining just intonation. The number of potential intervals, pitch classes, pitches, key centers...

major third is slightly different in different musical tunings: in just intonation it corresponds to a pitch ratio of 5:4 (play) (fifth harmonic in relation...

2 {\displaystyle 3:2} , in order to bring the thirds closer to the just intonation ratio of 5 : 4 {\displaystyle 5:4} . A regular temperament is one in...