User:Mike Battaglia
I'm a jazz pianist and microtonal music theorist, and also a sysop on the wiki here. Some relevant links:
Music and Social Media
- YouTube: https://www.youtube.com/channel/UCW1UuxWxsY5fusi71diaK4g
- SoundCloud: https://soundcloud.com/mikebattagliaexperiments/
- Facebook: https://www.facebook.com/MikeBattagliaMusic
- Twitter: https://twitter.com/MikeyBTags
Writings
I've written many articles about tuning theory in the past 10 years on this Wiki, some of which are very much developed and others of which are little minor contributions. Below are some that I think are particularly notable, being the focus of my research at some point or another.
Musical Information Theory
- Categorical Entropy, Mutual Information, and Channel Capacity - based on a collaboration w/ Keenan Pepper
- Harmonic Entropy - based on research by Paul Erlich, still need to add triadic HE to it
Scales
In 12, I tend to think in terms of modal harmony quite frequently, particularly for the kind of post-bop jazz that I love to play, and these ideas are mostly my way of generalizing them to microtonal scales. There are dozens of pages that talk about MODMOS's at this point, so these are just the high-level starting points. A good book to summarize my thinking in 12 is Ron Miller's Modal Jazz: Composition and Harmony series.
MODMOS Scales Modal UDP Notation Mike Battaglia's KISS notation
Regular Temperaments
These are various writings of mine involving regular temperament theory. Much of the stuff I've done is collaborative and some of it is just really extending other people's writings (such as with the Zeta function), and I've noted that when applicable. I collaborated with many people, but probably most frequently with Gene Smith, Keenan Pepper and Ryan Avella (although my collaborations with Gene are a small fraction of the incredible work that he did).
High-level Stuff
- Mike's Lectures On Regular Temperament Theory
- Mavila Temperament Modal Harmony - based on my ideas about MODMOS's and UDP
- Porcupine Temperament Modal Harmony - based on my ideas about MODMOS's and UDP
- Diatonic, Chromatic, Enharmonic, Subchromatic - ideas about layered categorical perceptions
Mathy Stuff
I've written so many little mathy things here and there that there's no point listing them all. Here's some selected that seem particularly interesting to me, and could be the launching point for another set of good ideas.
- Subgroup Temperament Families, Relationships, and Genes - This was written after Gene passed from COVID-19 but is basically an expansion of his ideas regarding temperament families; much of it can be thought of as a birds-eye view of his "clan" project
- BOP Tuning
- Wilson height
- The Riemann zeta function and tuning - Gene Smith did the majority of this research; I extended some results later on the second half of the page
- Chord complexity
The articles below are fairly minor contributions which extend some simpler ideas that had been floating around, and are typically collaborative with Gene and very much in the usual RTT view of things. These are mostly useful from a computational standpoint in doing temperament searches. I need to update some of this with later results involving the Weil norm and such, so this is also a note to myself.