The Mathematics of Writing Every Tune
Phillip Brady, Robert Wilsmore · 2022
This chapter aims to produce, in a systematic manner, every possible tune that can be made within limited parameters derived from the opening two bar phrase of Beethoven’s 5th Symphony, and then to locate Beethoven’s melody within that system. Our aim is not merely to count the number of possible tunes within the parameters but to produce a system that can place them in a logical sequence, and that each tune can be given a label within that system.