Abstract: This system is configured to operate in a number system in which the radix of each digit is a different prime number, or a system in which all of the radices are relatively prime, hereafter a prime or relatively prime radix number system. The system includes an input/output device which inputs data in a constant radix number system and outputs results of operations carried out in the system in a constant radix number system. A means is connected to the I/O device for converting the input data from the constant radix number system to the prime or relatively prime radix number system. A processing means is connected to the converting means for carrying out operations on the input data in prime or relatively prime radix form. A memory means connected to the processing means stores the data and results of operations thereon in prime or relatively prime radix form.

Abstract: An automatic electronic musical instrument generates structured and pleasing musical sound patterns from a random sequence. One phase of the random sequence is supplied to a first shift register. A first plurality of outputs from the first shift register is used to control a rhythm oscillator. A second plurality of outputs from the first shift register is used to control a pitch oscillator. A second shift register receives a second phase of the random sequence and the rhythm signal produced by the rhythm oscillator. A programmed control input provides a song structure to the outputs of the second shift register. The outputs of the second shift register are supplied as inputs to a musical frequency generating means which has the capability of transforming dissonant frequency combinations otherwise selected by those inputs to compatible frequency combinations. The musical frequency generating means also receives the pitch signal from the pitch oscillator.