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The mathematical operations of multiplication have several applications to music. Other than its application to the frequency ratios of intervals (for example, Just intonation, and the twelfth root of two in equal temperament), it has been used in other ways for twelve-tone technique, and musical set theory. Additionally ring modulation is an electrical audio process involving multiplication that has been used for musical effect.

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  • Moltiplicazione (musica) (it)
  • Multiplication (music) (en)
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  • The mathematical operations of multiplication have several applications to music. Other than its application to the frequency ratios of intervals (for example, Just intonation, and the twelfth root of two in equal temperament), it has been used in other ways for twelve-tone technique, and musical set theory. Additionally ring modulation is an electrical audio process involving multiplication that has been used for musical effect. (en)
  • In musica, la moltiplicazione modulo 12 è un'operazione di base, che può essere effettuata su insiemi di note. Nel contesto della dodecafonia ci sono relativamente pochi valori rispetto ai quali si può moltiplicare una successione di dodici note distinte per ottenerne ancora dodici. Ponendo la forma principale, vale a dire non alterata, come P0, la moltiplicazione viene indicata come Mx, dove x è il moltiplicatore: * I numeri pari rimangono immutati da M7, mentre i dispari vengono trasposti da un tritono. (it)
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  • http://commons.wikimedia.org/wiki/Special:FilePath/Bartok_-_Third_Quartet_tetrachord_multiplication.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Multiplication_as_mirror_operation.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Bartok_-_Music_for_Strings,_Percussion_and_Celesta_interval_expansion.png
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