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The most common tuplet [9] is the triplet (German Triole, French triolet, Italian terzina or tripletta, Spanish tresillo).Whereas normally two quarter notes (crotchets) are the same duration as a half note (minim), three triplet quarter notes have that same duration, so the duration of a triplet quarter note is 2 ⁄ 3 the duration of a standard quarter note.
With a the shorter and b the longer legs of a triangle and c its hypotenuse, the Pythagoras family of triplets is defined by c − b = 1, the Plato family by c − b = 2, and the Fermat family by | a − b | = 1. The Stifel sequence produces all primitive triplets of the Pythagoras family, and the Ozanam sequence produces all primitive triples ...
Tuplet A tuplet is a group of notes that would not normally fit into the rhythmic space they occupy. The example shown is a quarter-note triplet—three quarter notes are to be played in the space that would normally contain two. (To determine how many "normal" notes are being replaced by the tuplet, it is sometimes necessary to examine the ...
A 1‑tuple is called a single (or singleton), a 2‑tuple is called an ordered pair or couple, and a 3‑tuple is called a triple (or triplet). The number n can be any nonnegative integer . For example, a complex number can be represented as a 2‑tuple of reals, a quaternion can be represented as a 4‑tuple, an octonion can be represented as ...
I just googled and found someone's blog defining "irrational rhythm" as a time signature with a non-power or two as the lower numeral, so if you wanted a measure of five eighth-note triplets, for example, you might use a time signature if 5/12, since an eighth-note triplet is one-twelfth as long as a whole note.
Download as PDF; Printable version; ... triplets, quadruplets, quintuplets, sextuplets, septuplets, octuplets, and so on. ... Text is available under the Creative ...
If any of the above matrices, say A, is applied to a triple (a, b, c) T having the Pythagorean property a 2 + b 2 = c 2 to obtain a new triple (d, e, f) T = A(a, b, c) T, this new triple is also Pythagorean.
A prime quadruplet can be described as a consecutive pair of twin primes, two overlapping sets of prime triplets, or two intermixed pairs of sexy primes. These "quad" primes 11 or above also form the core of prime quintuplets and prime sextuplets by adding or subtracting 8 from their respective centers.