Twelfth Root Two Algebraic (2 results)

Taschenbuch. Condition: Neu. Twelfth Root of Two | Algebraic Number, Irrational Number, Frequency, Ratio, Note, Chromatic Scale | Lambert M. Surhone (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786131141706 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand.…

Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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.…