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Math And Music

When I was in high school, my math teacher always spoke with pride of his 'math and music' students; students who excelled in both fields. He insisted that it made sense, because music is very mathematical.

A music scale is made up of different frequencies which have been assigned names:

A A# B C C# D D# E F F# G G#

The scale then starts over at A. This is called an 'octave'. The next 'A' is said to be one octave above the first A

The ratio between the frequencies of any two successive notes is equal to the twelfth-root of 2.

In the USA, 'concert' A has a frequency of 440 Hz. However, in France, 'concert' A is considered to be 435 Hz.

What is the frequency difference (to the nearest Hz) Between an A two octaves above concert A (in the USA), and a G#, directly below concert A (in France)?


View the solution
Three-Digit Number
1948

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