Notations 21

Notations 21

Author: Theresa Sauer

Publisher:

Published: 2009

Total Pages: 328

ISBN-13:

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Drawing inspiration from John Cage's, Notations, Notations 21 features illustrated musical scores from more than 100 international composers, all of whom are making amazing breakthroughs in the art of notation. These spectacularly beautiful and fascinatingly creative visual pieces not only make for exciting music, but inspiring visual art as well. The scores are accompanied by written contributions from the artists that explore every facet of their creative processes, from inspiration to execution. Contributors include the likes of Karlheinz Stockhausen, Earle Brown, Halim El-Dabh, Joan La Barbara, and Yuji Takahashi, as well as emerging composers whose compositions are also visually astounding and important. In the spirit of honoring the 40th anniversary of Cage's seminal book, while furthering it in a 21st century context, a portion of the sales will be donated to the Foundation for Contemporary Performing Arts.


A History of Mathematical Notations

A History of Mathematical Notations

Author: Florian Cajori

Publisher: Courier Corporation

Published: 2013-09-26

Total Pages: 865

ISBN-13: 0486161161

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This classic study notes the origin of a mathematical symbol, the competition it encountered, its spread among writers in different countries, its rise to popularity, and its eventual decline or ultimate survival. 1929 edition.


The Norton Manual of Music Notation

The Norton Manual of Music Notation

Author: George Heussenstamm

Publisher: W W Norton & Company Incorporated

Published: 1987

Total Pages: 168

ISBN-13: 9780393955262

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This book is designed to serve as a practical guide to music handwriting and music-writing procedures.


Notations

Notations

Author: John Cage

Publisher:

Published: 1969

Total Pages: 340

ISBN-13:

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Manuscripts by 269 composers, with accompanying texts determined by I-Ching chance operations.


Beyond Notation

Beyond Notation

Author: Rebecca Y. Kim

Publisher: University of Michigan Press

Published: 2017-09-28

Total Pages: 417

ISBN-13: 0472130587

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The first comprehensive survey of the groundbreaking work of Earle Brown, augmented with several newly published items from his personal archive


Enlightening Symbols

Enlightening Symbols

Author: Joseph Mazur

Publisher: Princeton University Press

Published: 2014-03-23

Total Pages: 311

ISBN-13: 1400850118

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An entertaining look at the origins of mathematical symbols While all of us regularly use basic math symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century. What did mathematicians rely on for their work before then? And how did mathematical notations evolve into what we know today? In Enlightening Symbols, popular math writer Joseph Mazur explains the fascinating history behind the development of our mathematical notation system. He shows how symbols were used initially, how one symbol replaced another over time, and how written math was conveyed before and after symbols became widely adopted. Traversing mathematical history and the foundations of numerals in different cultures, Mazur looks at how historians have disagreed over the origins of the numerical system for the past two centuries. He follows the transfigurations of algebra from a rhetorical style to a symbolic one, demonstrating that most algebra before the sixteenth century was written in prose or in verse employing the written names of numerals. Mazur also investigates the subconscious and psychological effects that mathematical symbols have had on mathematical thought, moods, meaning, communication, and comprehension. He considers how these symbols influence us (through similarity, association, identity, resemblance, and repeated imagery), how they lead to new ideas by subconscious associations, how they make connections between experience and the unknown, and how they contribute to the communication of basic mathematics. From words to abbreviations to symbols, this book shows how math evolved to the familiar forms we use today.


A Color Notation

A Color Notation

Author: Albert H. Munsell

Publisher: Outlook Verlag

Published: 2020-08-05

Total Pages: 85

ISBN-13: 3752412291

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Reproduction of the original: A Color Notation by Albert H. Munsell


Palaeobyzantine Notations 3

Palaeobyzantine Notations 3

Author: Gerda Wolfram

Publisher: Peeters Publishers

Published: 2004

Total Pages: 328

ISBN-13: 9789042914346

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Der vorliegende Band als Ergebnis einer Tagung von Musikologen und Byzantinisten in Schloss Hernen/NL, beleuchtet verschiedene Aspekte des byzantinischen und des daraus entsprungenen slavischen Kirchengesangs. Zwei grosse Themenkreise stehen im Vordergrund: Notation und Melismatik, daneben beleuchten Beitrage zur Liturgie, zur Modalitat der Gesange und zur oralen Uberlieferung die byzantinische und slavische Tradition. Es ist wichtig, musikalische und liturgische Erscheinungsbilder der byzantinischen und slavischen Spatzeit nicht losgelost von der fruhen Tradition zu untersuchen, sondern die Wurzeln ihrer Entstehung stets im Auge zu behalten. Hierin stellt die Entwicklung der verschiedenen Notationssysteme die Basis fur jede weitere Untersuchung dar. In der liturgischen Musik der Hagia Sophia von Konstantinopel entstanden bereits im 8.-10. Jahrhundert melismatische Gesange, wahrend im monastischen Ritus einfache Melodien vorherrschten. Die Verschmelzung von Kathedral- und monastischer Tradition schuf eine neue Basis fur die Entstehung einer hochmelismatischen Gesangform, der Kalophonie. Basierend auf der byzantinischen Gesangtradition sind auch im slavischen Raum bereits ab dem 11. Jahrhundert melismatische Gesange uberliefert, die auf die ornamentierten Melodien der russischen Kirchenmusik des 15.-17. Jahrhunderts Einfluss hatten. Ein bedeutender Aspekt ist die Berucksichtigung der oralen Tradition, die durch alle Zeiten ein tragendes Element in der Uberlieferung der Gesange war.