Pythagorean Tuning vs the Equitonal scale

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What can mathematics say about frequencies that sound good together? This activity used at the 2012 Bay Area Circle for Teachers. This is an application of fractions that few students see, and it is one of many applications of Euclid's algorithm.

It is nice to connect this activity with the Rational Tangle activity.

A different activity related to music is the musical symmetry activity.

http://youtu.be/YcZidEMdAXs

http://youtu.be/SHj2iDLcQCY