For a complete score see: https://www.academia.edu/43656511/Woodwind_Trio_The_Passion_of_Alan_Turing_The_Gay_Mathematician_Who_Saved_14_Million_Lives_for_Oboe_Clarinet_in_B-flat_and_Bassoon_

In 1936, Turing published his first seminal paper: "On Computable Numbers." In this paper, Turing reformulated Kurt Gödel's 1931 results on the limits of proof and computation, replacing Gödel's universal arithmetic-based formal language with the formal and simple hypothetical devices that became known as “Turing machines,” essentially laying the ground work for what would become the modern computer, as recognized by seminal mathematician and computer scientist John von Neumann  To this day, Turing machines are a central object of study in the theory of computation. Turing was 24 years old.

Beginning in September of 1938, Turing worked part-time with the Government Code and Cypher School (GC&CS), the British codebreaking organization. His primary project was to decipher the German NAZI war code machine, called “Enigma.”

While at Bletchley Park’s Cypher research Lab, Turing had a reputation for eccentricity. He was known to his colleagues as "Prof" and his treatise on Enigma was known as the "Prof's Book.” This book of Turing’s various attempts to decipher the NAZI code machine’s mechanisms, sometimes employing his own base-36 system of numbers, became the central treatise and textbook to ultimately design the device that would significantly help end the Second World War on the European Stage.  The second movement, Prof’s Book and the Enigma Machine, attempts to signify one of Turing’s more simple base 36 deciphering algorithms. While the interior perpetual augmentation canon is simply a whimsical representation of the mathematical mind of Turing at work, the outer portions of the movement compress a simple base-36 numerical algorithm to a base-12 pitch and rhythm transformation that slowly changes the opening material from an atonal confusion to a delicate and pristine modal construct.

Woodwind Trio: The Passion of Alan Turing - 2. Profs Book and the Enigma Machine

Jordan Alexander Key