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**Look at the many areas of music that involve math, from string length ratios to scales and beats.**

- Math and Music, Grades 6-12 by Trudi H. Garland; Charity V. Kahn; Katarina Stenstedt (Editor) Explores the interconnectedness of math and music, discussing rhythm, frequency and amplitude, tuning, composition, instruments, and other topics.Call Number: 781 GARPublication Date: 1994
- Music Theory 101 by Brian Boone; Marc Schonbrun An introduction to music theory, with visual aids, music trivia, and history. Music Theory 101 covers everything novice musicians and lifelong learners need to know, including: how to read sheet music, understanding the construction of chords and scales, the different rhythm and time signatures, and how keys are identified and organized.Call Number: 781 BOOPublication Date: 2017

**KEYWORDS:**

line symmetry

rotational symmetry

dilation

counterpoint inversion

counterpoint retrograde

counterpoint augmentation

YouTube: Bach …. sheet music

- The Canons and Fugues of J. S. BachWell-Tempered Clavier, St. Matthew Passion

Goldberg Variations, Mass in B Minor at

Sojurn (or the Digital Bach Project)

**Search Tip:** Search Destiny for websites (key terms: harmonics and overtones)

Four sections follow the introduction to this illustrated article: Physics, Harmonics and Color; The Harmonics Series; Brass Instruments; and Harmonics on Strings.

Harmonics are often described first by explaining the physics of the plucked string. The tone produced by the vibration of a violin string plucked in its center is called the fundamental tone of the string. The string vibrates as a whole when plucked at its center. Plucked elsewhere, the string can be made to vibrate in three or more separate parts. The tones produced by the vibration of the parts are called overtones or harmonics. The java applet at this site demonstrates both movement and sound for the first four notes of the harmonic series: whole, halves, thirds, and fourths.

- The music of the primes Plus, an internet magazine, introduces its readers to the beauty and the practical applications of mathematics. In this article, Marcus du Sautoy demonstrates the similarities between math and music. Music has an advantage over math, suggests du Sautoy, because of the physical connection our bodies have with a musical composition; he calls it the tingle factor. Math has great symphonies, too, he suggests, like the Riemann Hypothesis. The key to Riemann is understanding what determines whether a vibrating object will produce a noise, a pleasing sound, or a musical tone; in other words, harmonics.

**KEYWORDS:**

Consonance

Harmonics

String length ratio

Pythagoras and music

Octave

Jean Fourier

- Destiny Discover Grades 5-8 - LIBRARY CATALOG This link opens in a new windowSearch the MS Library or all BC Libraries for books on the shelf, Ebooks and audiobooks. Sign in with Google using your BC account to see your checkouts, make books lists, put a book on hold, and more!

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- Last Updated: Jun 19, 2024 10:05 AM
- URL: https://libguides.berkeleycarroll.org/math-fair-2024
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