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

Publication Date


Document Type


Student Type


Degree Name

Electrical Engineering (MS)

Department, Program, or Center

Electrical Engineering (KGCOE)


Names Illegible


Note: imported from RIT’s Digital Media Library running on DSpace to RIT Scholar Works in January 2014. Physical copy available through RIT's The Wallace Library at: TK7872.F73 M66 1991


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