Self-similar melodies / Tom Johnson.
| Author/creator | Johnson, Tom |
| Format | Book |
| Publication Info | Paris : Editions 75, ©1996. |
| Description | 291 pages : illustrations, music ; 23 cm |
| Subjects |
| Contents | Counting 123 -- Counting several things at once -- Counting in other bases -- Counting in circles -- Counting with computer -- Transforming ones and zeros -- Transforming dragons -- Transforming by finite automaton -- Transforming by infinite automaton -- Transforming sandwiches -- Transforming by erasing -- Transforming with delays -- Transforming hybrids -- Transforming in parts -- Mapping the towers of Brahma -- Mapping Pascal's triangle -- Mapping Fibonacci -- Mapping geometric patterns -- Mapping weaving patterns -- Mapping with computer -- Self-replicating melodies -- Self-replicating several ratios -- Self-replicating related melodies -- Self-replicating with holes. |
| Abstract | This book explains the logical and mathematical techniques the author uses in his composition. These include finite and infinite automata, the paper folding formula, and sequences taken from Pascal's triangle. This book is a detailed treatment with many short melodies written to demonstrate the techniques employed. |
| Bibliography note | Includes bibliographical references. |
| ISBN | 2907200011 |
| ISBN | 9782907200011 |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Music | Closed Stacks - Ask at Circulation Desk | MT47 .J64 1996 | ✔ Available | Place Hold |