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TALLAHASSEE, Fla., April 22 (UPI) -- Three U.S. professors have used mathematics to analyze and categorize musical harmony, producing what they call "geometrical music."
The researchers from Florida State, Yale and Princeton universities said their collaboration has produced a "geometrical music theory," which translates the language of music theory into that of contemporary geometry.
"Our research offers a variety of tools for understanding and exploring music by drawing upon contemporary mathematics in natural and musically relevant ways," said Assistant Professor Clifton Callender of Florida State University. "It also provides a way to compare chords and represents all possible combinations of pitches, including those found in non-Western music and avant-garde works that don't conform to the traditional scales of Western music."
The research by Callender, Ian Quinn of Yale and Dmitri Tymoczko of Princeton is described in the April 18 issue of the journal Science.
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