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MUSICAL NOTATION
http://en.wikipedia.org/wiki/Tuplet

All text is available under the terms of the GNU Free Documentation License: http://en.wikipedia.org/wiki/Wikipedia:Text_of_the_GNU_Free_Documentation_License

# Tuplet

In music a tuplet is any consecutive group of notes with an individual value more or less than (not equal to) half as long as the next larger note value. This is usually indicated with a horizontal (or nearly horizontal) bracket with a number over a tuplet indicating how many notes of the same altered value (or duration) are to be performed.

Tuplet: a standard triplet; a triplet denoted without a bracket; a tuplet denoted as a ratio

## Explanation

The most common tuplet is the triplet (G. triole), shown at right. Whereas normally two quarter notes are the same duration as a half note, three triplet quarter notes total that same duration, so the duration of a triplet quarter note is 2/3 the duration of a standard quarter note. Similarly, three triplet eighth notes are equal in duration to one quarter note. If several note values appear under the triplet bracket, they are all affected the same way, reduced to 2/3 their original duration.

## Tuplets notation

If the notes of the tuplet are beamed together, the bracket may be omitted and the number written above the beam, as shown in the second illustration. Occasionally the bracket is omitted when the notes are slurred together.

For other tuplets, the number indicates a ratio to the next lower power of two. So a quintuplet indicated with the numeral 5 means that five of the indicated note value total the duration normally occupied by four, equivalent to the second higher note value; for example, five quintuplet eighth notes total the same duration as a half note. Some numbers are used inconsistently: for example septuplets are sometimes used to mean 7 notes in the duration of 4, but other times to mean 7 notes in the duration of 8. To avoid ambiguity, composers sometimes write the ratio explicitly instead of just a single number, as shown in the third illustration.

In compound metre, even-numbered tuplets can indicate that a note value is changed in relation to the dotted version of the next higher note value. Thus, two duplet eighth notes (most often used in 6/8 meter) take the time normally totalled by three eighth notes, equal to a dotted quarter note. Four quadruplet eighth notes would also equal a dotted quarter note. The duplet eighth note is thus exactly the same duration as a dotted eighth note, but the duplet notation is more often used in compound meters.

## Usage and purpose

Tuplets can produce irrational rhythms, especially hemiola, or may be used as polyrhythms when played against the regular duration. They are extrametric rhythmic units.