Twelfth Root of Two: Algebraic Number, Irrational Number, Frequency, Ratio, Note, Chromatic Scale - Softcover

 
9786131141706: Twelfth Root of Two: Algebraic Number, Irrational Number, Frequency, Ratio, Note, Chromatic Scale
Softcover
ISBN 10: 6131141703 ISBN 13: 9786131141706
Verlag: OmniScriptum, 2010

Inhaltsangabe

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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. "

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Reseña del editor

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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. "

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Verlag
OmniScriptum
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
6131141703
ISBN 13 
9786131141706
Einband
Tapa blanda
Anzahl der Seiten
92
Herausgeber
Surhone Lambert M., Tennoe Mariam T., Henssonow Susan F.
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar