I heard this phrase occasionally and I wondered if it is true? Is there really a mathematical foundation to any and all music. I read about Fourier Analysis but is there more to it? Elaborate please.
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I heard this phrase occasionally and I wondered if it is true? Is there really a mathematical foundation to any and all music. I read about Fourier Analysis but is there more to it? Elaborate please.
At the simplest level, notes that sound good together (harmonize) have simple integer relationships. For example, an octave is 2:1 and a fifth is 3:2. More here:
Fundamentals of Piano Practice: Mathematics of the Chromatic Scale and Chords
Music Math Harmony -- Math Fun Facts
Fourier analysis can be used to separate out the frequencies in a chord.
Johann Sebastian Bach was one of the classic examples of mathematical form in music.
http://vihart.com/papers/symmetry/MusicalSymmetry.pdf
I enjoyed this paper here.
I think it is interesting that the great scientist Thomas Young (Young's modulus, Young double slit experiment, Young-Laplace equation for surface tension, Young-Dupre equation, Young-Helmholtz theory of color vision) is also the inventor of Young Temperament for tuning pianos.
Young temperament - Wikipedia, the free encyclopedia
You know, I've always thought about some kind of special connection between the two.
How about I try converting mathematical constants to base 8 and play them on a piano scale? I've always wanted to try that![]()
That might prove interesting.
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