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...a page for all tricesimoprimal (31-tone) and otherwise just-based approaches to vocal and/or instrumental pedagogy.

In Progress: 31 tone singing camp July 2008! Simultaneous sessions in NYC and Apple Hill!

Day One

Poster (PDF)

The poster forgot to mention - it's free.

Traces from May 2007 Houston 31-Tone Singin' Camp

Important listening:

Toby Twining : Chrysalid Requiem

Ben Johnston: Kepler Quartet: String Quartets 2,3,4,9.

More Ben Johnston downloadable at


Kyle Gann's Just Intonation Explained article, very clear:

Paul Rapoport: About 31 tone equal temperament:

relevant articles in Xenharmonikôn (at Fondren)