Some music theory from Paul Erlich

The Forms of Tonality

erlich-tFoT.pdf (408K)
paper with inline images

A Middle Path

MiddlePath2015.pdf (11 MB)
paper with inline images

Tuning, Tonality, and Twenty-Two-Tone Temperament

erlich-decatonic.pdf (289K)
paper with inline images (256K)
archive of paper (PDF) with appendix and figures as separate
(PNG) at their original resolutions

Notable contributions to mailing lists

2001-11-19 Error Heuristic
2001-08 Vos Curves (thread)
2001-07-28 MOS Hypothesis
2001-05-21 Friendly Guide To What We're Talking About
2000-10-05 The Geometry Of Triangular Plots
2000-08 Diadic Harmonic Entropy Minimizer (thread)
1999-10-04 Decatonic Scales As PBs
1998-07-17 Consistent And Unique
1998-07-07 Decatonic Scales In Partchian Terms
1997-12-15 Consistent And Accurate

Elsewhere on the web...

A Gentle Introduction to Fokker Periodicity Blocks
at the Tonalsoft Encyclopedia of Microtonal Music Theory
Harmonic Entropy
a short article by Paul at Sound of India


Decatonic Swing (3 MB)
by Paul Erlich and Ara Sarkissian