Why is so hard to tune my guitar? A look at the mathematics behind the music Charlie Burrus Rice University School Mathematics Project November 2007 This.

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Why is so hard to tune my guitar? A look at the mathematics behind the music Charlie Burrus Rice University School Mathematics Project November 2007 This.

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Why is so hard to tune my guitar? A look at the mathematics behind the music Charlie Burrus Rice University School Mathematics Project November 2007 This entire presentation (and more!) can be found at

The Four Pillars of Education Mathematics Geometry Astronomy Music

Music = organized sound Sound travels in longitudinal waves, but we frequently illustrate it using transverse waves.

Longitudinal Wave

Terminology Musical terms: Volume Pitch Mathematical terms: Amplitude Frequency ====

Pitch Measured in letters - periodic

Melodies are relative Twinkle Twinkle Little Star, How I wonder what you are C C G G A A G F F E E D D C or D D A A B B A G G F# F# E E D or G G D D E E D C C B B A A G Octave: Different pitch, but same note

Octave Different “pitch” but same “note”.