Twelfth Root of Two

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High Quality Content by WIKIPEDIA articles! The twelfth root of two or sqrt[12]{2} is an algebraic irrational number. It is most important in music theory, where it represents the frequency ratio between any two consecutive notes of a modern chromatic scale in equal temperament; that is, the interval of a semitone.The twelfth root of two was first calculated accurately by the Chinese mathematician Prince Chu Tsai-Yu of the Ming Dynasty. In 1596, he published a work, Lülü Jingyi ("A clear explanation of that which concerns the lu (musical pipes)"), which gave theoretical pipe lengths for 12-tone equal temperament correct to nine places. Prince Chu made note of the difference between his ideal mathematically-tuned lu and traditional pipes, which used a form of Pythagorean tuning.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131141706
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • Größe H5mm x B220mm x T150mm
    • EAN 9786131141706
    • Format Fachbuch
    • Titel Twelfth Root of Two
    • Gewicht 156g
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 92
    • Genre Mathematik

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