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Section C 
This music-is-math idea is often accompanied by the notion that music,
 
formally speaking at least, exists 
apart from the world in which it was created.
 
Writing recently in The New York Review of Books, pianist 
and critic Charles
 
Rosen discussed the long-standing notion that while painting and sculpture
 
reproduce at 
least some aspects of the natural world, and writing describes thoughts and feelings we are all familiar with, 
music is entirely abstracted from the world in which we live. Neither idea is right, according to David 
Schwartz and his colleagues. Human musical preferences are fundamentally shaped not by elegant 
algorithms or ratios but by the messy sounds of real life, and of speech in particular – which in turn is 

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shaped by our evolutionary heritage. "The explanation of music, like the explanation of any product of the 
mind, must be rooted in biology, not in numbers per se," says Schwartz. Schwartz, Howe, and Purves 
analysed a vast selection of speech sounds from a variety of languages to reveal the underlying patterns 
common to all utterances. In order to focus only on the raw sounds, they discarded all theories about speech 
and meaning, and sliced sentences into random bites. Using a database of over 100,000 brief segments of 
speech, they noted which frequency had the greatest emphasis in each sound. The resulting set of 
frequencies, they discovered, corresponded closely to the chromatic scale. In short, the building blocks of 
music are to be found in speech. Far from being abstract, music presents a strange analogue to the patterns 
created by the sounds of speech. "Music, like visual arts, is rooted in our experience of the natural world," 
says Schwartz. "It emulates our sound environment in the way that visual arts emulate the visual 
environment." In music we hear the echo of our basic sound-making instrument - the vocal tract. The 
explanation for human music is simpler still than Pythagoras's mathematical equations: We like the sounds 
that are familiar to us - specifically, we like the sounds that remind us of us.This brings up some chicken-or-
egg evolutionary questions. It may be that music imitates speech directly, the researchers say, in which case 
it would seem that language evolved first. It's also conceivable that music came first and language is in 
effect an imitation of song - that in everyday speech we hit the musical notes we especially like. Alternately, 
it may be that music imitates the general products of the human sound-making system, which just happens to 
be mostly speech. "We can't know this," says Schwartz. "What we do know is that they both come from the 
same system, and it is this that shapes our preferences."