Debussy in Proportion

Debussy in Proportion PDF Author: Roy Howat
Publisher: Cambridge University Press
ISBN: 9780521311458
Category : Music
Languages : en
Pages : 264

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Book Description
An analysis that accounts precisely for the nature of Debussy's musical forms and how forms of different works are related. Geometric systems found here throw new light on Debussy's intense interest in the other arts and provide links with artists he admired in other fields.

Debussy in Proportion

Debussy in Proportion PDF Author: Roy Howat
Publisher: Cambridge University Press
ISBN: 9780521311458
Category : Music
Languages : en
Pages : 264

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Book Description
An analysis that accounts precisely for the nature of Debussy's musical forms and how forms of different works are related. Geometric systems found here throw new light on Debussy's intense interest in the other arts and provide links with artists he admired in other fields.

Proportions in Music

Proportions in Music PDF Author: Johannes Tinctoris
Publisher:
ISBN:
Category : Music theory
Languages : en
Pages : 66

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Book Description


Proportions and Their Music

Proportions and Their Music PDF Author: Karlheinz Schüffler
Publisher: Springer Nature
ISBN: 3662653362
Category :
Languages : en
Pages : 293

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Book Description


Intervals, Scales, Tones and the Concert Pitch C

Intervals, Scales, Tones and the Concert Pitch C PDF Author: Maria Renold
Publisher: Temple Lodge Publishing
ISBN: 1906999732
Category : Music
Languages : en
Pages : 210

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Book Description
Why is it that certain intervals, scales, and tones sound genuine, while others sound false? Is the modern person able to experience a qualitative difference in a tone's pitch? If so, what are the implications for modern concert pitch and how instruments of fixed tuning are tuned? Renold tackles these and many other questions and provides a wealth of scientific data. Her pioneering work is the result of a lifetime of research into the Classical Greek origin of Western music and the search for modern developments. She deepens our musical understanding by using Rudolf Steiner's spiritual science as a basis, and she elucidates many of his puzzling statements about music. The results of her work include the following discoveries: - The octave has two sizes (a 'genuine' sounding octave is bigger than the "perfect octave") - There are three sizes of "perfect fifths" - An underlying "form principle" for all scales can be found - Equal temperament is not the most satisfactory method of tuning a piano - She provides a basis for some of Steiner's statements, such as, "C is always prime" and "C = 128 Hz = Sun." Intervals, Scales, Tones is a valuable resource for those who wish to understand the deeper, spiritual aspects of music.

Meter in Music, 1600–1800

Meter in Music, 1600–1800 PDF Author: George Houle
Publisher: Indiana University Press
ISBN: 9780253213914
Category : Music
Languages : en
Pages : 192

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Book Description
"All practising musicians with an interest in the baroque owe it to themselves to be exposed to the ideas contained in this book." —Continuo "This is a book from an excellent musician in the early field who turns out also to be a most persistent scholar . . . " —Early Music " . . . the book offers a vast quantity of data from a wide range of sources. . . . George Houle is to be congratulated for his honest presentation of the entire spectrum." —Music Educators Journal The treatment of meter in performance has evolved dramatically since 1600. Here is a practical guide for the performer, with many quotations from early manuals and treatises, and abundant examples.

Mathematics and Music

Mathematics and Music PDF Author: Gerard Assayag
Publisher: Springer Science & Business Media
ISBN: 9783540437277
Category : Mathematics
Languages : en
Pages : 310

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Book Description
In Western Civilization Mathematics and Music have a long and interesting history in common, with several interactions, traditionally associated with the name of Pythagoras but also with a significant number of other mathematicians, like Leibniz, for instance. Mathematical models can be found for almost all levels of musical activities from composition to sound production by traditional instruments or by digital means. Modern music theory has been incorporating more and more mathematical content during the last decades. This book offers a journey into recent work relating music and mathematics. It contains a large variety of articles, covering the historical aspects, the influence of logic and mathematical thought in composition, perception and understanding of music and the computational aspects of musical sound processing. The authors illustrate the rich and deep interactions that exist between Mathematics and Music.

Bach's Numbers

Bach's Numbers PDF Author: Ruth Tatlow
Publisher: Cambridge University Press
ISBN: 1107088607
Category : History
Languages : en
Pages : 431

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Book Description
In the eighteenth century the universal harmony of God's creation and the perfection of the unity (1:1) were philosophically, morally and devotionally significant. Ruth Tatlow employs theoretical evidence and practical demonstrations to explain how and why Bach used numbers in his published compositions.

Beyond Measure

Beyond Measure PDF Author: Jay Kappraff
Publisher: World Scientific
ISBN: 9789810247027
Category : Mathematics
Languages : en
Pages : 618

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Book Description
This book consists of essays that stand on their own but are also loosely connected. Part I documents how numbers and geometry arise in several cultural contexts and in nature: scale, proportion in architecture, ancient geometry, megalithic stone circles, the hidden pavements of the Laurentian library, the shapes of the Hebrew letters, and the shapes of biological forms. Part II shows how many of the same numbers and number sequences are related to the modern mathematical study of numbers, dynamical systems, chaos, and fractals.

Tuning, Timbre, Spectrum, Scale

Tuning, Timbre, Spectrum, Scale PDF Author: William A. Sethares
Publisher: Springer Science & Business Media
ISBN: 1447141776
Category : Music
Languages : en
Pages : 346

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Book Description
Tuning, Timbre, Spectrum, Scale focuses on perceptions of consonance and dissonance, and how these are dependent on timbre. This also relates to musical scale: certain timbres sound more consonant in some scales than others. Sensory consonance and the ability to measure it have important implications for the design of audio devices and for musical theory and analysis. Applications include methods of adapting sounds for arbitrary scales, ways to specify scales for nonharmonic sounds, and techniques of sound manipulation based on maximizing (or minimizing) consonance. Special consideration is given here to a new method of adaptive tuning that can automatically adjust the tuning of a piece based its timbral character so as to minimize dissonance. Audio examples illustrating the ideas presented are provided on an accompanying CD. This unique analysis of sound and scale will be of interest to physicists and engineers working in acoustics, as well as to musicians and psychologists.

A Performer's Guide to Medieval Music

A Performer's Guide to Medieval Music PDF Author: Ross W. Duffin
Publisher: Indiana University Press
ISBN: 9780253215338
Category : Music
Languages : en
Pages : 618

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Book Description
A Performer's Guide to Medieval Music is an essential compilation of essays on all aspects of medieval music performance, with 40 essays by experts on everything from repertoire, voices, and instruments to basic theory. This concise, readable guide has proven indispensable to performers and scholars of medieval music.