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  1. Mathematics and Music - Dave Rusin; The Mathematical Atlas
    A short article documenting the interplay between music and mathematics, with a bibliography. Explorations into tunings include why there are twelve tones in an octave, tuning problems that lead to the Riemann zeta function or to logarithms, nineteen-tone tunings, and the theory of chords. Odds and ends in the More Math-'n'-Music topic include connections between music and the learning of math, appearances of the golden mean and sums of series in music, defining musical styles mathematically, the psychology of music and other interplays between math and music, a combinatorial partition problem, and personal tidbits about Chopin, Bartok, Birkhoff, and other composers. more>>


Mason error

error in file:   /usr/lib/perl5/5.6.0/Carp/Heavy.pm
line 79:  Bizarre copy of ARRAY in aassign
75:  # them according to the format variables defined earlier in
76:  # this file and join them onto the $sub sub-routine string
77:  if ($hargs) {
78:  # we may trash some of the args so we take a copy
79:  @a = @DB::args; # must get local copy of args
80:  # don't print any more than $MaxArgNums
81:  if ($MaxArgNums and @a > $MaxArgNums) {
82:  # cap the length of $#a and set the last element to '...'
83:  $#a = $MaxArgNums;
component stack:   /library/branch.html
code stack:   /usr/lib/perl5/5.6.0/Carp/Heavy.pm:79

debug info:   Debug file is '/var/lib/mason/debug/anon/12'.


raw error:

error while executing /library/branch.html:
Bizarre copy of ARRAY in aassign at /usr/lib/perl5/5.6.0/Carp/Heavy.pm line 79.