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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 tuned in this way is said to be pure, and is called a just interval .
RAGA in just intonation [2] Hairy Hippy Happy: Horn, trombone, tuba 2006–10 Marc Sabat: 23 [12] Just Ancient Loops: Multi-track cellos 2008–12 Michael Harrison: 11 Cantaloupe album (2012) [citation needed] Euler Lattice Spirals Scenery: String quartet 2011 Marc Sabat: 7 [12] Our Rainy Season: Flute, bass flute, alto saxophone, contrabass ...
The intervals of 5-limit just intonation (prime limit, not odd limit) 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 1:5/4:3/2 or 4:5:6.
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Quadrangularis Reversum, one of Partch's instruments featuring the 43-tone scale. The 43-tone scale is a just intonation scale with 43 pitches in each octave.It is based on an eleven-limit tonality diamond, similar to the seven-limit diamond previously devised by Max Friedrich Meyer [1] and refined by Harry Partch.
5-limit Tonnetz. Five-limit tuning, 5-limit tuning, or 5-prime-limit tuning (not to be confused with 5-odd-limit tuning), is any system for tuning a musical instrument that obtains the frequency of each note by multiplying the frequency of a given reference note (the base note) by products of integer powers of 2, 3, or 5 (prime numbers limited to 5 or lower), such as 2 −3 ·3 1 ·5 1 = 15/8.
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Played in just intonation. In just intonation, the frequencies of the scale notes are related to one another by simple numeric ratios, a common example of this being 1 / 1 , 9 / 8 , 5 / 4 , 4 / 3 , 3 / 2 , 5 / 3 , 15 / 8 , 2 / 1 to define the ratios for the seven notes in a C major scale ...