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Music by the Numbers From Pythagoras to Schoenberg

How music has influenced mathematics, physics, and astronomy from ancient Greece to the twentieth century Music is filled with;

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Music by the Numbers

How music has influenced mathematics, physics, and astronomy from ancient Greece to the twentieth century Music is filled with;

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Numbers at Work

Drawing primarily from historical examples, this book explains the tremendous role that numbers and, in particular, mathematics play in all;

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Philosophy of New Music

extensive introduction by distinguished translator Robert Hullot-Kentor, Philosophy of New Music emerges as an essential guide to the whole;

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Music Manuscripts at Harvard - A Catalogue of Music Manuscripts from the 14th to the 20th Centuries in the Houghton Library and the Eda Kuhn

A catalogue of music manuscripts from the fourteenth to the twentieth centuries in the Houghton Library and the Eda Kuhn Loeb Music Library;

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Irrationality and Transcendence in Number Theory

This book tells the story of irrational numbers from their discovery in the days of Pythagoras to the ideas behind the work of Baker and;

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Numbers

numbers, transcendental numbers, and imaginary and complex numbers. Readers will explore the history of numbers from Pythagoras to Fermat and;

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'Composing With Tones

Schoenberg's Op.23 for solo piano, written between 1920 and 1923, represented a move from his atonal music of the preceding twelve years to;

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A Schoenberg Reader

tonality and the creation of 12-tone composition, generated controversy from the time of his earliest works to the 21st century. This collection;

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A History of Pythagoreanism

philosophies in the West. In twenty-one chapters covering a timespan from the sixth century BC to the seventeenth century AD, leading scholars;

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A History of Pythagoreanism

philosophies in the West. In twenty-one chapters covering a timespan from the sixth century BC to the seventeenth century AD, leading scholars;

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The Early Works of Arnold Schoenberg 1893-1908

Here is the first full-scale account of Schoenberg's early tonal works, a rich repertory that music historians have tended to neglect or;

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New Ears For New Music

the most important composers from Schoenberg to Rihm in a series of fluent and readable essays that will appeal to connoisseurs and non;

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Pythagoras and Renaissance Europe

and artists who sought, through the use of a visual language inspired by the memory of Pythagoras, to obtain perfect harmony in their;

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Pythagoras and Renaissance Europe

and artists who sought, through the use of a visual language inspired by the memory of Pythagoras, to obtain perfect harmony in their;

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Music in the Works of Pythagoras of Samos and the Pythagoreans

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Homage to Pythagoras

Pythagorean thought, from the civilisation of Ancient Greece, is still prevalent in religion, poetry, philosophy, music, architecture and;

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Serialism

of the most prominent innovations resulting from this. From Schoenberg to Stockhausen, Berg to Boulez, this introduction tells the story of how;

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Cult of Pythagoras, The

In this follow-up to his popular Science Secrets, Alberto A. Martu00ednez discusses various popular myths from the history of mathematics;

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Philosophy of Music

from the very origins of philosophy in Western thought (Pythagoras, Plato, Aristotle) the book talks about what music is according to Augustine;

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Mathematics and Music

can be found for almost all levels of musical activities from composition to sound production by traditional instruments or by digital means;

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Pythagoras' Revenge

professor of classical history at Oxford, discovers an Arabic manuscript hinting at the existence of an ancient scroll--possibly left by Pythagoras;

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Music, Math, and Mind

from around the world to canonical composers to hip-hop, the history of experimental music, and animal sound by songbirds, cetaceans, bats, and;

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Music, Math, and Mind

from around the world to canonical composers to hip-hop, the history of experimental music, and animal sound by songbirds, cetaceans, bats, and;

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Language of Modern Music

This is a study of the ideas and creative forces that went into shaping the language of 20th-century music. The author's argument is based;

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Pythagoras the Master

Pythagoras was one of the great geniuses of the West and yet, apart from his famous Pythagorean theorem, he is virtually unknown. If we;

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Music by Numbers

of perspectives. Some of them test the veracity of this data and explore its tactical use by music businesses. Others are helping to generate these;

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