Just Intonation
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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 series. Justly tuned intervals are usually written either as ratios, with a colon (for example, 3:2), or as fractions, with a solidus (3 2). Colons indicate that division is not done, so it is the preferred usage in music: In practice, two tones, one at sixty Hertz, and the other at forty cycles per second is a perfect fifth (3:2). Although in theory two ...
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 series. Justly tuned intervals are usually written either as ratios, with a colon (for example, 3:2), or as fractions, with a solidus (3 2). Colons indicate that division is not done, so it is the preferred usage in music: In practice, two tones, one at sixty Hertz, and the other at forty cycles per second is a perfect fifth (3:2). Although in theory two notes tuned in an arbitrary frequency ratio such as 1024:927 might be said to be justly tuned, in practice only ratios using products of small primes are given the name; more complex ratios are often considered to be rational intonation but not necessarily just intonation. Intervals used are then capable of being more consonant. Just intonation can be contrasted and compared with equal temperament, which dominates western orchestras and default MIDI tuning.
