A quarter tone is an interval half as wide (aurally, or logarithmically) as a semitone, which is half a whole tone.
In equal temperament the quarter tone is 50 cents or 21/24 or 1.0293. In 24 tone equal temperament, or the quarter tone scale, it is the smallest step. In just intonation it is often 36:35 or 33:32.
Many composers are known for having written music including quarter tones or the quarter tone scale, first proposed by Mikhá'il Mishaqah (Touma 1996, p.16), including:
Two quarter tones equal a half tone, and three make a three-quarter tone. A three-quarter tone may also be considered half of a minor third.
While the use of quarter tones in Western music is a more recent and experimental phenomenon, these and other microtonal intervals have been an important part of the music of the Arab world, Turkey, Iran and neighboring lands for many centuries.
Many Arabic maqamat contain intervals of three-quarter tone size; a short list of these follows. (Note: Due to the lack of widespread support for Unicode quarter tone characters, a regular flat symbol is used with a strikethrough. The proper form has a short diagonal stroke through the stem, not a straight stroke through the bowl.)
The medieval philosopher and scientist Al-Farabi described a number of intervals in his work in music, including a number of quarter tones.
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"Quarter tone".
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