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math behind music notes. Heres a musical snippet from the Stone Hill All-Stars Miles Below the Surface and this is what the related sound waves look like for a period of about 6100 of a seconds. Music appears to be transmitted by magic escaping from your expensive stereo - or a loudly.
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They are not intended to be a comprehensive and technically rigorous. Emergent structures in music. Analyzing the opening bars of Beethovens Moonlight Sonata the video notes the significance of the grouping of the notes together in triads and how they contain an internal melodic structure which is geometric.
We can look at a balance--or a competition--between dissonance and entropy of sound--and see that phase transitions can also occur from disordered.
Mathematics is the basis of sound wave propagation and a pleasant sound consists of harmony arising out of musical scales in terms of numerical ratios particularly those of small integers. A single note played continuously would completely lack dissonance low energy but would be wholly uninteresting to the human ear while an. No musical notes fit together better than those which are exactly one octave apart. They are not intended to be a comprehensive and technically rigorous.
