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[…]
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[…]
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[…]
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[…]
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[…]
luna NightlightTM is a captivating nightlight application for the iPhone and iPad that will capture your imagination, and put you right to sleep by playing your favorite music. luna NightlightTM is comprised of beautiful spheres dropping from the sky, calmly floating down, and mysteriously disappearing into the night. Or, turn the phone upside down and watch[…]
Are you interested in musical set theory and functional programming? LUMA is a software tool designed to help compose music using set theory and associated techniques to help create melodies and harmonies that you may not otherwise been able to create. Stay focused and in-tune for updates.
Have you ever wondered what the most awesome entertainment system would look and sound like, and what it would do? Combining techniques in artificial intelligence, cellular automata, sublimation, and rhythmic syncopation, subLime promises to be one of the most interesting and mind-captivating adventures to ever hit the inter-waves. Stay off-beat and keep in touch.
I decided to post this presentation that I had given back in Fall 2014 at an NACUSA meeting in Portland, Oregon. The main parts of this talk refer to the twelve-tone technique and how it can be applied to various types of music, including atonal and quasi-tonal music. The interval class vector is also discussed[…]