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Started by annguyen1981, January 12, 2006, 10:04:26 AM

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Quote from: oramac on January 20, 2006, 07:02:08 PM
The harmonic series in music is the mathmatics behind the frequencies within a fundamental pitch.  The fundamental pitch you hear is actually built of a theoretically infinite number of pitches starting with an octave above the fundamental pitch, then a fifth above that, then a fourth above that, etc.  Harmonics are also what make in tune instruments sound 'in tune'

The harmonic series was first discovered and documented by pythagoras...the same guy that taught us the mathematical properties of the right triangle.
[continuing on the useless facts]

Instruments aren't actually tuned to those pitches anymore...otherwise you'd need different notes for enharmonic accidentals (like the harpsichord, which had "split" black keys), since the intervals aren't the same going up as they are going down.  Tuning to perfect intervals is referred to as "just temperment", and hasn't really been used since the 18th century.  JS Bach popularized "even temperment" (where all the notes are split evenly within an octave, rather than by perfect harmonic interval) and changed the way instruments were tuned forever. 

Sure, Pythagoras would be pissed since the math doesn't quite work out as elegantly, but it ends up being hella easier to build instruments...pianos cannot be tuned using just temperment.  Thus, if you tried to tune your piano to perfect harmonic intervals, the instrument will not sound "in tune" any more...you'll be a few cents off here and there because of the 'fudging' they do in even temperment.

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