Ligature (musical Instrument)
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Ligature (musical Instrument)
A ligature is a device which holds a reed onto the mouthpiece of a single-reed instrument such as a saxophone or clarinet. The ligature must secure the reed firmly against the table of the mouthpiece while allowing it to vibrate freely. The earliest ligatures were lengths of string wrapped over the reed and tied. Iwan Müller invented a metal ligature to replace twine. String is still used by clarinetists, especially in Germany. Modern German mouthpieces have a groove cut into the outside of the mouthpiece to facilitate wrapping with a string ligature. Some modern clarinetists even opt to use shoestring as a ligature substitute as it is more easily adjustable than string. Other modern clarinetists use electrical tape as a ligature. A ligature must be placed properly in order to allow best performance on a reed instrument. The ligature must be placed at least halfway down the stock of the reed and the screws must not be overtightened, in order to allow free vibration and not dis ...
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4 Ligaturen
4 (four) is a number, numeral and digit. It is the natural number following 3 and preceding 5. It is the smallest semiprime and composite number, and is considered unlucky in many East Asian cultures. In mathematics Four is the smallest composite number, its proper divisors being and . Four is the sum and product of two with itself: 2 + 2 = 4 = 2 x 2, the only number b such that a + a = b = a x a, which also makes four the smallest squared prime number p^. In Knuth's up-arrow notation, , and so forth, for any number of up arrows. By consequence, four is the only square one more than a prime number, specifically three. The sum of the first four prime numbers 2, two + three + 5, five + 7, seven is the only sum of four consecutive prime numbers that yields an Parity (mathematics), odd prime number, 17 (number), seventeen, which is the fourth super-prime. Four lies between the first proper pair of twin primes, three and 5, five, which are the first two Fermat primes, like 17 ( ...
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