Music is full of Mathematics
Mathematics is full of Music

In August 1843, Ada Lovelace wrote, in Notes On The Analytical Engine,

"the engine might compose elaborate and scientific pieces of music of any degree of complexity or extent"

Three years in the making and with a total playing time of 3 hours and 33 minutes, Notes From The Analytical Dream is twenty three realisations of that vision, each a journey into strange lands, familiar and yet not, unchanging but without repetition. As John Peel said of The Fall, "always different, always the same"(*)

Kick back, relax, and enjoy endless journeys(**) towards infinity.

(*) This is not like The Fall.

(**) Not actually endless. Average track length 9 minutes 15 seconds.

Clues For Mathematicians and Programmers.

Intruder Window – Traversals of a Collatz tree.
Hailstone Trajectories - Hailstone trajectories.
Pisano Bebop - Cutaway view of four overlapping Pisano cycles.
On the Teeth of Wheels - Stern's diatomic series.
The Bernoulli Shuffle - Bernoulli numbers, numerators and denominators.
Lazy Cakes - Lazy Caterer’s sequence and Cake numbers.
Between Realms - OEIS sequences A048673 and A064216.
Dinosaur Theory - OEIS sequences A080576, A080577, and A036036.
Kolakoski Contrapuntal - Mappings of the Kolakoski sequence as 6 bit binary digits.
Going Postal - Partial traversals of a permutation tree with 4 key changes, fizz-buzz rhythm loops.
Happy Drone - Happy numbers.
Fair Dice - From algorithm to emulate N faced dice given output from a 64bit prng.
Triangular Bells - Bell numbers.
Gauge Invariance - Chords constructed from traversal of a permutation tree.
Pascal's Wager - Pascal’s triangle.
Catalan Rain - Catalan numbers.
Fuscous - Stern’s diatomic series again.
Sydney's Donkey - Lengths of hailstone trajectories.
Attraction Engine - OEIS Sequence A063989.
Duet of Triangular Bells - Bell numbers and Bell triangle.
Spirit Dream - Yet another take on Stern’s diatomic series.
Axioms of Power - Traversals of a power set tree.
A Traveller's Reverie - Fibonacci numbers.