I have developed a new rate multiplication method. I call it ideal because the quality of the frequency approximation that it makes is maximized, and it extends the range of its frequency scaling factor to all the rational numbers between zero and one. In addition, each input control code produces a unique output frequency. The input code is necessarily not straight binary, so the circuit is not pin compatible with other rate multipliers. I designed the ideal rate multiplier as a method for easily producing just tempered musical intervals. Even a three bit ideal rate multiplier produces many recognizable musical intervals. I built a prototype of a seven bit ideal rate multiplier which plays eleven notes of the twelve tone scale. The design itself is academically interesting, and deals with recursion and rational numbers.
Library of Congress Subject Headings
Frequency synthesizers; Multiplication; Musical temperament
Electrical Engineering (MS)
Department, Program, or Center
Electrical Engineering (KGCOE)
Moore, Andrew C., "Generating just temperament with ideal rate multiplication" (1991). Thesis. Rochester Institute of Technology. Accessed from
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