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Math Music - Musimathics: The Mathematical Foundations of Music (MIT Press) (Volume 1)
Musimathics: The Mathematical Foundations of Music (MIT Press) (Volume

Math Music

A commonsense, self-contained introduction to the mathematics and physics of music; essential reading for musicians, music engineers, and anyone interested in the intersection of art and science."Mathematics can be as effortless as humming a tune, if you know the tune," writes Gareth Loy. In Musimathics, Loy teaches us the tune, providing a friendly and spirited tour of the mathematics of music―a commonsense, self-contained introduction for the nonspecialist reader. It is designed for musicians who find their art increasingly mediated by technology, and for anyone who is interested in the intersection of art and science.In Volume 1, Loy presents the materials of music (notes, intervals, and scales); the physical properties of music (frequency, amplitude, duration, and timbre); the perception of music and sound (how we hear); and music composition. Calling himself "a composer seduced into mathematics," Loy provides answers to foundational questions about the mathematics of music accessibly yet rigorously. The examples given are all practical problems in music and audio.Additional material can be found at http://www.musimathics.com.

  • Brand: imusti
  • ASIN: 0262516551
Math Music - Music by the Numbers: From Pythagoras to Schoenberg
Music by the Numbers: From Pythagoras to

Math Music

How music has influenced mathematics, physics, and astronomy from ancient Greece to the twentieth centuryMusic is filled with mathematical elements, the works of Bach are often said to possess a math-like logic, and Igor Stravinsky said "musical form is close to mathematics," while Arnold Schoenberg, Iannis Xenakis, and Karlheinz Stockhausen went further, writing music explicitly based on mathematical principles. Yet Eli Maor argues that music has influenced math at least as much as math has influenced music. Starting with Pythagoras, proceeding through the work of Schoenberg, and ending with contemporary string theory, Music by the Numbers tells a fascinating story of composers, scientists, inventors, and eccentrics who played a role in the age-old relationship between music, mathematics, and the sciences, especially physics and astronomy. Music by the Numbers explores key moments in this history, particularly how problems originating in music have inspired mathematicians for centuries. Perhaps the most famous of these problems is the vibrating string, which pitted some of the greatest mathematicians of the eighteenth century against each other in a debate that lasted more than fifty years and that eventually led to the development of post-calculus mathematics. Other highlights ...

  • ASIN: 0691176906
Math Music - Count, Add, Subtract! Fun With Math, Music, And Movement
Count, Add, Subtract! Fun With Math, Music, And

Math Music

  • ASIN: B00N25FIW0
Math Music - Math and Music: Harmonious Connections
Math and Music: Harmonious

Math Music

From the beat of a tribal drum to a choir of crickets--music is everywhere. Math and Music explores the music of various cultures and the sounds heard in nature while highlighting the mathematical concepts, such as proportion, patterns, Fibonacci numbers, geometric transformations, and trigonometry, found in music. The companion poster explores mysterious connections between seemingly different entities, such as music and animals! A four-page guide explains the connections students may discover.

  • Brand: Brand: Dale Seymour Publications
  • ASIN: 0866518290
Math Music - The Math Behind the Music (Outlooks)
The Math Behind the Music

Math Music

Mathematics has been used for centuries to describe, analyze, and create music. In this book, Leon Harkleroad explores the math related aspects of music from its acoustical bases to compositional techniques to music criticism, touching on - overtones, scales, and tuning systems - the musical dice game attributed to Mozart and Haydn - the several-hundred-year-old style of bell-playing known as ringing the changes - the twelve-tone school of composition that strongly influenced music throughout the 20th century and many other topics involving mathematical ideas from probability theory to Fourier series to group theory. He also relates some cautionary tales of misguided attempts to mix music and mathematics. Both the mathematical and the musical concepts are described in an elementary way, making the book accessible to general readers as well as to mathematicians and musicians of all levels. The book is accompanied by an audio CD of musical examples.

  • ASIN: 0521009359
Math Music - Music Math Workbook (Volume 1)
Music Math Workbook (Volume

Math Music

Many people do not know that music is a math-based science. This workbook is a fun and excellent way for music and general education students alike to practice manipulating musical notiation values and their math skills.

  • ASIN: 1469918196
Math Music - Musimathics: The Mathematical Foundations of Music (MIT Press) (Volume 2)
Musimathics: The Mathematical Foundations of Music (MIT Press) (Volume

Math Music

The second volume of a commonsense, self-contained introduction to the mathematics and physics of music, focusing on the digital and computational domain; essential reading for musicians, music engineers, and anyone interested in the intersection of art and science.Volume 2 of Musimathics continues the story of music engineering begun in Volume 1, focusing on the digital and computational domain. Loy goes deeper into the mathematics of music and sound, beginning with digital audio, sampling, and binary numbers, as well as complex numbers and how they simplify representation of musical signals. Chapters cover the Fourier transform, convolution, filtering, resonance, the wave equation, acoustical systems, sound synthesis, the short-time Fourier transform, and the wavelet transform. These subjects provide the theoretical underpinnings of today's music technology. The examples given are all practical problems in music and audio. Additional material can be found at http://www.musimathics.com.

  • Brand: imusti
  • ASIN: 026251656X
Math Music - 50 Cool Math Songs and Games for Kids to Learn
50 Cool Math Songs and Games for Kids to

Math Music

  • ASIN: B005HXA7T4
Math Music - Music Math: Exploring Different Interpretations of Fractions (Powermath)
Music Math: Exploring Different Interpretations of Fractions

Math Music

Explains math fractions by means of musical notation.

  • Brand: Brand: PowerKids Press
  • ASIN: 0823988775

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Math Music

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Math Music

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