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Tuplet
In music, a tuplet (also irrational rhythm or groupings, artificial division or groupings, abnormal divisions, irregular rhythm, gruppetto, extra-metric groupings, or, rarely, contrametric rhythm) is "any rhythm that involves dividing the beat into a different number of equal subdivisions from that usually permitted by the time-signature (e.g., triplets, duplets, etc.)" This is indicated by a number, or sometimes two indicating the fraction involved. The notes involved are also often grouped with a bracket or (in older notation) a slur. The most common type of tuplet is the triplet. Terminology The modern term 'tuplet' comes from a rebracketing of compound words like quintu(s)-(u)plet and sextu(s)-(u)plet, and from related mathematical terms such as "tuple", "-uplet" and "-plet", which are used to form terms denoting multiplets (''Oxford English Dictionary'', entries "multiplet", "-plet, ''comb. form''", "-let, ''suffix''", and "-et, ''suffix''1"). An alternative modern term, ...
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Polyrhythm
Polyrhythm is the simultaneous use of two or more rhythms that are not readily perceived as deriving from one another, or as simple manifestations of the same meter. The rhythmic layers may be the basis of an entire piece of music ( cross-rhythm), or a momentary section. Polyrhythms can be distinguished from irrational rhythms, which can occur within the context of a single part; polyrhythms require at least two rhythms to be played concurrently, one of which is typically an irrational rhythm. Concurrently in this context means within the same rhythmic cycle. The underlying pulse, whether explicit or implicit can be considered one of the concurrent rhythms. For example, the son clave is poly-rhythmic because its 3 section suggests a different meter from the pulse of the entire pattern. In western art music In some European art music, polyrhythm periodically contradicts the prevailing meter. For example, in Mozart's opera ''Don Giovanni'', two orchestras are heard playing t ...
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Dotted Note
In Western musical notation, a dotted note is a note with a small dot written after it. In modern practice, the first dot increases the duration of the basic note by half (the original note with an extra beam) of its original value. This means that a dotted note is equivalent to writing the basic note tied to a note of half the value – for instance, a dotted half note is equivalent to a half note tied to a quarter note. Subsequent dots add progressively halved value, as shown in the example to the right. Though theoretically possible, a note with more than three dots is highly uncommon; only quadruple dots have been attested. If the original note is considered as being of length 1, then a quintuple dot would only be 1/32 longer than the quadruple dotted note. The difficulty may be seen by comparing dotted notation to tied notation: a quarter note () is equivalent to 2 tied eighth notes (), a dotted quarter = 3 tied eighth notes, double dotted = 7 tied sixteenth notes (), tr ...
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Tuple
In mathematics, a tuple is a finite ordered list (sequence) of elements. An -tuple is a sequence (or ordered list) of elements, where is a non-negative integer. There is only one 0-tuple, referred to as ''the empty tuple''. An -tuple is defined inductively using the construction of an ordered pair. Mathematicians usually write tuples by listing the elements within parentheses "" and separated by a comma and a space; for example, denotes a 5-tuple. Sometimes other symbols are used to surround the elements, such as square brackets " nbsp; or angle brackets "⟨ ⟩". Braces "" are used to specify arrays in some programming languages but not in mathematical expressions, as they are the standard notation for sets. The term ''tuple'' can often occur when discussing other mathematical objects, such as vectors. In computer science, tuples come in many forms. Most typed functional programming languages implement tuples directly as product types, tightly associated with alge ...
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Dotted Note
In Western musical notation, a dotted note is a note with a small dot written after it. In modern practice, the first dot increases the duration of the basic note by half (the original note with an extra beam) of its original value. This means that a dotted note is equivalent to writing the basic note tied to a note of half the value – for instance, a dotted half note is equivalent to a half note tied to a quarter note. Subsequent dots add progressively halved value, as shown in the example to the right. Though theoretically possible, a note with more than three dots is highly uncommon; only quadruple dots have been attested. If the original note is considered as being of length 1, then a quintuple dot would only be 1/32 longer than the quadruple dotted note. The difficulty may be seen by comparing dotted notation to tied notation: a quarter note () is equivalent to 2 tied eighth notes (), a dotted quarter = 3 tied eighth notes, double dotted = 7 tied sixteenth notes (), tr ...
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Rhythm
Rhythm (from Greek , ''rhythmos'', "any regular recurring motion, symmetry") generally means a " movement marked by the regulated succession of strong and weak elements, or of opposite or different conditions". This general meaning of regular recurrence or pattern in time can apply to a wide variety of cyclical natural phenomena having a periodicity or frequency of anything from microseconds to several seconds (as with the riff in a rock music song); to several minutes or hours, or, at the most extreme, even over many years. Rhythm is related to and distinguished from pulse, meter, and beats: In the performance arts, rhythm is the timing of events on a human scale; of musical sounds and silences that occur over time, of the steps of a dance, or the meter of spoken language and poetry. In some performing arts, such as hip hop music, the rhythmic delivery of the lyrics is one of the most important elements of the style. Rhythm may also refer to visual presentation, as "timed ...
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Ratio
In mathematics, a ratio shows how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the ratio of lemons to oranges is 6:8 (or 3:4) and the ratio of oranges to the total amount of fruit is 8:14 (or 4:7). The numbers in a ratio may be quantities of any kind, such as counts of people or objects, or such as measurements of lengths, weights, time, etc. In most contexts, both numbers are restricted to be positive. A ratio may be specified either by giving both constituting numbers, written as "''a'' to ''b''" or "''a'':''b''", or by giving just the value of their quotient Equal quotients correspond to equal ratios. Consequently, a ratio may be considered as an ordered pair of numbers, a fraction with the first number in the numerator and the second in the denominator, or as the value denoted by this ...
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Power Of Two
A power of two is a number of the form where is an integer, that is, the result of exponentiation with number two as the base and integer  as the exponent. In a context where only integers are considered, is restricted to non-negative values, so there are 1, 2, and 2 multiplied by itself a certain number of times. The first ten powers of 2 for non-negative values of are: : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, ... Because two is the base of the binary numeral system, powers of two are common in computer science. Written in binary, a power of two always has the form 100...000 or 0.00...001, just like a power of 10 in the decimal system. Computer science Two to the exponent of , written as , is the number of ways the bits in a binary word of length can be arranged. A word, interpreted as an unsigned integer, can represent values from 0 () to  () inclusively. Corresponding signed integer values can be positive, negative and zero; see signed ...
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Simple Meter
In music, metre ( Commonwealth spelling) or meter (American spelling) refers to regularly recurring patterns and accents such as bars and beats. Unlike rhythm, metric onsets are not necessarily sounded, but are nevertheless implied by the performer (or performers) and expected by the listener. A variety of systems exist throughout the world for organising and playing metrical music, such as the Indian system of '' tala'' and similar systems in Arabic and African music. Western music inherited the concept of metre from poetry, where it denotes: the number of lines in a verse; the number of syllables in each line; and the arrangement of those syllables as long or short, accented or unaccented. The first coherent system of rhythmic notation in modern Western music was based on rhythmic modes derived from the basic types of metrical unit in the quantitative metre of classical ancient Greek and Latin poetry. Later music for dances such as the pavane and galliard consisted of m ...
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Compound Meter (music)
In music, metre ( Commonwealth spelling) or meter (American spelling) refers to regularly recurring patterns and accents such as bars and beats. Unlike rhythm, metric onsets are not necessarily sounded, but are nevertheless implied by the performer (or performers) and expected by the listener. A variety of systems exist throughout the world for organising and playing metrical music, such as the Indian system of '' tala'' and similar systems in Arabic and African music. Western music inherited the concept of metre from poetry, where it denotes: the number of lines in a verse; the number of syllables in each line; and the arrangement of those syllables as long or short, accented or unaccented. The first coherent system of rhythmic notation in modern Western music was based on rhythmic modes derived from the basic types of metrical unit in the quantitative metre of classical ancient Greek and Latin poetry. Later music for dances such as the pavane and galliard consisted of ...
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Eighth Note
180px, Figure 1. An eighth note with stem extending up, an eighth note with stem extending down, and an eighth rest. 180px, Figure 2. Four eighth notes beamed together. An eighth note (American) or a quaver ( British) is a musical note played for one eighth the duration of a whole note (semibreve). Its length relative to other rhythmic values is as expected—e.g., half the duration of a quarter note (crotchet), one quarter the duration of a half note (minim), and twice the value of a sixteenth note. It is the equivalent of the ''fusa'' in mensural notation. Eighth notes are notated with an oval, filled-in note head and a straight note stem with one note flag (see Figure 1). The stem is on the right of the notehead extending upwards or on the left extending downwards, depending primarily on where the notehead lies relative to the middle line of the staff. A related symbol is the eighth rest (or quaver rest), which denotes a silence for the same duration. Eighth note ...
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Note Value
In music notation, a note value indicates the relative duration of a note, using the texture or shape of the '' notehead'', the presence or absence of a ''stem'', and the presence or absence of ''flags/ beams/hooks/tails''. Unmodified note values are fractional powers of two, for example one, one-half, one fourth, etc. A rest indicates a silence of an equivalent duration. List Shorter notes can be created theoretically ''ad infinitum'' by adding further flags, but are very rare. Variations The breve appears in several different versions, as shown at right. The first two are commonly used; the third is a stylistic alternative. Sometimes the longa or breve is used to indicate a very long note of indefinite duration, as at the end of a piece (e.g. at the end of Mozart's Mass KV 192). A single eighth note, or any faster note, is always stemmed with flags, while two or more are usually beamed in groups.Gerou, Tom (1996). ''Essential Dictionary of Music Notation'', p.211. Alfre ...
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Metre (music)
In music, metre ( Commonwealth spelling) or meter (American spelling) refers to regularly recurring patterns and accents such as bars and beats. Unlike rhythm, metric onsets are not necessarily sounded, but are nevertheless implied by the performer (or performers) and expected by the listener. A variety of systems exist throughout the world for organising and playing metrical music, such as the Indian system of '' tala'' and similar systems in Arabic and African music. Western music inherited the concept of metre from poetry, where it denotes: the number of lines in a verse; the number of syllables in each line; and the arrangement of those syllables as long or short, accented or unaccented. The first coherent system of rhythmic notation in modern Western music was based on rhythmic modes derived from the basic types of metrical unit in the quantitative metre of classical ancient Greek and Latin poetry. Later music for dances such as the pavane and galliard consisted o ...
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