Most consider music to be expressive and emotional leaving little or .
What most fail to realize is that there is mathematics within .
all music and sound for that matter. Music is littered with mathematical frequencies.
and such. There isn't ant type of sound that does not involve math in some way. .
I found it fairly easy to understand how math was related to music once exploited properly.
It is thought that a mathematical connection lies within the musical. .
Listeners of J. S. Bach claim that his music is carefully planned with math. His works .
are so full on the emotional, technical, and even intellectual levels, it seems only .
natural that they might be also be mathematically built. Many mathematical patterns.
have been discovered in his music, more so then most others of his time. In the past .
repetition has been used among all great composers.
As all advocates of music know, repetition is a vital statistic in all music. .
Great composers such as Bach use repeated themes with great mathematics to create .
stunning musical pieces. Most musicians notice that songs repeat and build on a simple little tune that is recreated to become more complicated. Repetition has played a huge role in creating music using mathematics. .
Mathematics have played a huge roll figuring out why the chromatic scale is .
made up of only twelve notes. Why not sixteen notes or five hundred for that .
matter? There are many theories for this. It could simply be the natural human perception of sound. It could also work along the lines of the mathematical frequency of music.
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All sound can be based on a mathematical frequency. Whenever you hear a note, a number can represent it. For example, I am going to give a default value of 1 for the pitch of C. An octave above this (still C), would therefore be 2, and an octave above that would have a frequency of 4 (also, halving would produce lower octaves of C (i.e. 0.5, 0.25, 0.125 etc.