Private lessons are available via Skype: composition, music-theory, tuning theory, piano, and all woodwinds (sax, clarinet, flute, bassoon, recorder) for US$ 80 per hour. Send a contact request and text message "lessons" to my Skype ID: joe.monzo1
Just-intonation tuning and microtonal music-theory form the conceptual basis of many musical scales and tuning systems. From the Sumerians 4000 years ago and ancient Greeks centuries later, right through the middle-ages and renaissance, musicians have studied math and music, and these two topics were inseparable.
Unfortunately, for the last 100 years, Western music has generally ignored its own math-and-music foundations. Composers, theorists, and instrumentalists have focused on the rote learning of unchangable symbolic rules and musical scales, thereby remaining ignorant of the fundamental relationship between math and music.
The 4-strand helical lattice of the standard 31-tone meantone tuning, produced in Tonescape
Microtonal and just intonation composers and theorists have recently been working to re-establish the connection between math and music through the development of microtonal music theory. This vibrant, growing community of microtonal music theorists, composers, and software developers has been making tremendous contributions to our knowledge and understanding of a variety of topics in contemporary and historic music theory:
This Encyclopedia of Microtonal Music Theory is a group project and a work in progress. It contains entries, data, clarifications, and corrections from dozens of direct contributors, and includes thousands of direct and indirect contributions. If you would like to contribute to the encyclopedia or ask a question, please don't hesitate to contact us.
We hope you can fulfill your needs for information regarding just intonation and microtonal music theory right here in the encyclopedia. If there's something you can't find, check out the latest encyclopedia entries and the latest essays on microtonal and just intonation music theory at the inTune news column, right here on the Tonalsoft site.
The tonalsoft.com website is almost entirely the work of one person: me, Joe Monzo. Please reward me for my knowledge and effort by choosing your preferred level of financial support. Thank you.