Self-Similar Melodies (1996)
by Tom Johnson
Sheet Music

Item Number: 21699655
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Publishers
Two-Eighteen Press
Item Types
Physical
Instructionals
Methods and More
Music Theory
Usages
School and Community
Book

SKU: 2E.TJ137

Composed by Tom Johnson. Theory Book. Paperback. Two-Eighteen Press #TJ137. Published by Two-Eighteen Press (2E.TJ137).

An appreciation of the connection between mathematics and music dates back at least to Pythagoras, but rarely does one have a chance to explore that connection in such intimate detail as in these bracing pages. Composer Tom Johnson weaves back and forth between notes and numbers, delighting in patterns that lead up to self-similarity (the basic of fractal geometry). Some familiarity with both sides of the topic is a prerequisite; committed readers will, however, receive a unique aesthetic education -Scientific American, May 1997. The theory of the logical and mathematical techniques used by the composer: finite and infinite automata, the paper-folding formula, self-replicating melodies, etc. A rather detailed discussion, 291 pages, with many new melodies, written to demonstrate the techniques used. Visit ssm.editions75.com for more information and additional material.