Modern Computer Algebra
Joachim von zur Gathen and Jürgen Gerhard.
Textbook, 2nd edition, Cambridge University Press 2003 (US site).
ISBN 0521826462 Price £ 40 (US $ 65).
xiv+786 pages, 132 figures and tables (54 colored), 102 algorithms, 563 exercises.
(First edition 1999: ISBN 0521641764.)
MCA Gallery: Musical scales
Part of a piano keyboard
Diophantine approximations with denominator n to the logarithms of the six "pleasant" musical intervals r_1=2/1 (octave), r_2=3/2 (fifth), r_3=4/3 (fourth), r_4=5/4 (major third), r_5=6/5 (minor third), and r_6=9/8 (whole tone), and the quality of the nth approximation (lower diagram).
© Joachim von zur Gathen and Jürgen Gerhard, last change: 7 May 1999