From: mclaren
Subject: Citations mentioned by John Chalmers
--
A number of people are aware of my microtonal
bibliography stored at the Mills ftp site. Fewer
people are aware that this is a small portion of
a much larger paper, which has been polished
in the process of readying it for publication over
the course of several years.
The bibliography is seriously incomplete, and will
be updated. John Chalmers' offered some recent
additions to the bibliography. Well, guess what?
Yass, massuh, these ole citations were on my
list and will be added to the bibliography when
the update is ready. To cut down on work by Dave
Madole, my intention to do only ONE update.
Look for it in a few months.
--
The article "Universal Music?" by Sebastian von
Hoerner, was published in "Psychology of Music,"
2(2) 1974, pp. 18-28. This paper should incidentally
have been cited in my discussion of surveys of
equal temperaments. Von Hoerner draws the usual
chart of equal temperaments using the usual small-
whole-number ratio comparisons and arrives as the
conclusion that the "best" 5-limit scales are 5,
19, 31, 34 and 53, and the "best" 7-limit scales are
31 and 41.
Von Hoerner doesn't bother to follow up on 34 and 41,
oddly enough. (If he had, we would have scooped Krantz
in 1992!) Going to the 11-limit Von Hoerner
finds the smallest ET with satistfactory stats to
be 270, and thus he considers 11 ratios an unnecessary
musical requirement for an intonation. Harry Partch
would surely have viewed this conclusion with...let us
say, considerable excitement.
--mclaren
