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Harmonograph - A Visual Guide to the Mathematics of Music (Paperback): Anthony Ashton Harmonograph - A Visual Guide to the Mathematics of Music (Paperback)
Anthony Ashton
R184 R155 Discovery Miles 1 550 Save R29 (16%) Ships in 12 - 17 working days

Why did Pythagoras pause outside a Blacksmith's workshop? Can the nature of Harmony really be understood visually? Why do harmonies leave gaps or 'commas' when added together? In this charming little book Anthony Ashton uses a Victorian device called a Harmonograph to tell the story of Harmony and the intervals in the scale. With useful appendices and exquisite line drawings this is a unique and original introduction to this magical subject. WOODEN BOOKS are small but packed with information. "Fascinating" FINANCIAL TIMES. "Beautiful" LONDON REVIEW OF BOOKS. "Rich and Artful" THE LANCET. "Genuinely mind-expanding" FORTEAN TIMES. "Excellent" NEW SCIENTIST. "Stunning" NEW YORK TIMES. Small books, big ideas.

Harmonograph - A Visual Guide to the Mathematics of Music (Paperback): Anthony Ashton Harmonograph - A Visual Guide to the Mathematics of Music (Paperback)
Anthony Ashton
R207 R165 Discovery Miles 1 650 Save R42 (20%) Ships in 10 - 15 working days
Quadrivium - The Four Classical Liberal Arts of Number, Geometry, Music and Cosmology (Hardcover): John Martineau Quadrivium - The Four Classical Liberal Arts of Number, Geometry, Music and Cosmology (Hardcover)
John Martineau; Miranda Lundy, Daud Sutton, Anthony Ashton, Jason Martineau, … 2
R561 Discovery Miles 5 610 Ships in 12 - 17 working days

The Quadrivium consists of the four Liberal Arts of Number, Geometry, Music, and Cosmology, studied from antiquity to the Renaissance as a way of glimpsing the nature of reality. They synthesize number, space, and time. Geometry is number in space, music is number in time, and the cosmos expresses number in space and time. Number, music, and geometry are metaphysical truths, good and beautiful everywhere at all times. Life across the universe investigates them. They foreshadow the physical sciences. This is the first volume to bring together the Quadrivium for many hundreds of years.

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