# 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.

## Presentation on theme: "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."— Presentation transcript:

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 http://www.rusmp.rice.edu/

Why is it so hard to tune my guitar? The Goal: Getting the strings “in tune”. The Method: Using Harmonics The Problem: …this is why we’re here.

On this slide, put a picture of a guitar or something, where they will see the strings and the names of the strings.

Harmonics

Music = organized sound Sound travels in longitudinal waves, but we frequently illustrate it using transverse waves. Put a sine wave here.

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 1 1 5 5 6 6 5 4 4 3 3 2 2 1

Notes that sound ‘good’ together Octave: Different “pitch” but same “note” Major triad: 1-3-5 C-E-G G-B-D F-A-C D-F#-A

Frequency Measured in Hertz, or waves/second NOT periodic The higher the pitch, the higher the frequency.

Pitch and Frequency

The Four Pillars of Education Mathematics Geometry Astronomy Music! Yes, MUSIC!

Download ppt "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."

Similar presentations