Math 5: Resources
- FALL 2008
Theory: General references
- My list of ERRATA for first
printing of our textbook,
G. Loy, Musimathics, Volume 1 (2006). The second printing
I have been promised corrects more of these.
Author's website.
- On reserve at the library:
- Arthur Benade, Fundamentals of Musical Acoustics,
(Dover edition, 1990), is a beautiful, non-mathematical introduction
at about our level (in fact with less math than we'll do).
Benade was a renowned researcher of the workings of instruments.
- Fletcher, The Physics of Musical Instruments (1991),
wonderful investigations into details of instrument acoustics,
is more mathematically sophisticated than our course.
Fletcher is known for his original research in this area.
- Rossing, Moore and Wheeler, The Science of Sound,
3rd Ed. (2002). (I think 2nd Ed. is also on reserve).
This massive book introduces many of the
concepts of our course, at our level, with a engineering/physics rather
than math spin.
It tends to be encyclopedic, with a lot of sometimes tedious or
incomprehensible data and graphs on particular instruments,
while missing the elegant universal themes.
-
Music: A Mathematical Offering
by David J. Benson (Cambridge University Press, 2007),
a freely-available 10MB PDF file. This is a wonderful study,
with beautiful and deep musical-math connections,
and almost-obsessive detail about e.g.
tuning systems, Fourier methods, world-music instruments, symmetry, etc.
It is at the advanced undergrad math major level, but don't be scared to
dig in!
- College
of Santa Fe Auditory Theory is a nice online textbook, with demos
too.
- Basic Physics of Sound course by Rick Van Kooten at Indiana.
- Wave
and sound applets from Indiana University Southeast.
- Physics of
Music course by Christopher Munroe at UMD.
- Victor
Stanionis book on Computer Music, reviews digital recording and
synthesis, some physics of waves.
- ECHOES Newsletters from
the Acoustical Society of America. Interesting research and news. Great
starting point for projects and aural postings.
- Internet Searching Guide: links on assessing web sources and searching,
by our library staff.
- General notes on exam and study
technique (geared mainly towards final exams in intermediate-level math courses).
Mathematics
Instruments
Music Theory and Perception
Acoustics
Music/sound sources
- How to generate and decode DTMF (telephone touch tone) signals:
here
- DRAM Dartmouth has access to this
NYU-based academic music collection (requires Quicktime plugin to listen via
web streaming).
- Primate vocalizations from Hauser lab at Harvard.
- Binaural beats examples.