[Smt-talk] stretto calculation

[John Snyder]

Hello Stephen & all,

To the books already mentioned by Peter Schubert and others I would add
Sergei Tane'ev's *Convertible Counterpoint in the Strict Style* (1904 [?]).
There is an English translation. It uses algebraic means to assess the ways
in which a subject might be combined with itself in counterpoint, at various
pitch and time shifts. It also treats invertible counterpoint in a 
similar way,
determining if two lines will work in inversion, and at what intervals(s) of
inversion. The arithmetic (if memory serves--I don't have it in front of me)
is mod7, with 0=unison, 1=step (any size), etc. It would take some getting
used to. I recall a paper on this at an SMT meeting a few years ago, but
can't recall the specifics (and have no time right now to track them down).

With best wishes,

John

-- 
John L.Snyder
Professor of Music Theory and Musicology
Moores School of Music
University of Houston
JLSnyder at uh.edu
713.743.3143