Emblems of Mind: The Inner Life of Music and Mathematics
The chief music critic of The New York Times explores the mysterious relationship between music and mathematics, detailing their common origins, their historical interconnections, and the similarities in their stated goals. 20,000 first printing.
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THE NEED FOR METAPHOR
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Abraham Robinson abstract aesthetic analogy arpeggio asserted attempt Bach Bach's beauty become Beethoven's begin calculation Carl Friedrich Gauss century Chinese remainder theorem chord Classical close composition concepts connections constructed create define elements equivalent eurythmy example experience exploration feel fugue fundamental fundamental group G. H. Hardy geometry gesture harmony hear infinite number infinitesimal integers internal interpretation irrational numbers listen loop mapping mathe mathematical proof mathematician mathematics and music matics mean measure melodic metaphor Milton Babbitt move movement music and mathematics musical space nature notes notion objects overtones pattern phrase physical pitches play precisely prelude proof proportion ratio realm relations relationship reveal rhythm seemingly seems sense similarities simple Socrates sonata sonata form sort sound string structure surface tensions theme theory things thinking tion tonal music tones topology transformation truth understand universe variation vibrating voice Well-Tempered Clavier wine