# Machine Language for Music

Binary numbers allow for the representation of any number using only two digits, 0 and 1.  This piece of music is derived from taking a set of integers, in this case, multiples of 6, and converting these integers into their corresponding binary representation.  For each binary number the 1’s are summed to create an integer Read more about Machine Language for Music[…]

# Composing with the Thue-Morse Sequence

The Thue-Morse sequence is a binary sequence and was first used by Eugene Prouhet in 1851 by applying this sequence to the study of integers.  However, it was Axel Thue in 1906 that used this sequence to create the field of study called, “combinatorics on words”.  In 1921 Marston Morse applied the sequence to differential Read more about Composing with the Thue-Morse Sequence[…]

# Using the Properties of Fractals to Compose Music

I’m not sure if they knew it at the time, but composers such as Johann Sebastian Bach and Ludwig van Beethoven composed music notes that obeyed the principals of fractals, and in particular, a power law function.  Hsü et al (1) reported in 1990 that log-log linear plots can be used to determine if a Read more about Using the Properties of Fractals to Compose Music[…]

# Quantum Cellular Automata

Cellular automata (CA) is a discrete system using simple rules and used to model complex systems.  Historically, the initial major contributor to CA was John von Neumann.  von Neumann was trying to find a model of self-replicating systems, a system that could produce exact copies of itself.  Fast forward to the 1980s where Stephen Wolfram Read more about Quantum Cellular Automata[…]

# Using Uniform Triadic Transformations to Map Out Chord Progressions

Transformational music theory involves the study of how musical objects, such as chords and rhythm, can transform from one to another.  The music theorist Hugo Riemann (1849 – 1919) studied transformations of chords through operators that formed a group, these operators were defined by their voice leading properties.  Voice leading is essentially how individual notes Read more about Using Uniform Triadic Transformations to Map Out Chord Progressions[…]