Twelfth Root of Two

Twelfth Root of Two

Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow

     

бумажная книга



Издательство: Книга по требованию
Дата выхода: июль 2011
ISBN: 978-6-1311-4170-6
Объём: 92 страниц
Масса: 160 г
Размеры(В x Ш x Т), см: 23 x 16 x 1

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, Lulu 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.

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