A method for formulating music, methods for formulating individual musical elements for utilization in formulating music, and methods for expanding and/or modifying the musical elements for utilization in formulating music. The musical elements are mathematically derived from origination elements as non-limitedly exemplified by intervals, chords, chord progressions, arpeggios, and instruments, thereby providing a vast array of new elements as attained from mathematical manipulations of such origination elements.