Friday, September 7, 2018

4 primes........the 1st 4 over 50.............adding them all is 240......a 4 sided figure with measurements of 2.............8 numbers, one by one.......the 1st 8 over 50.................octaves all over......and the 1d measurement of the 2 square.......8...........said like that is 18.....its 2d is 4..........24...like 240...like i ^ = -1 and i ^4 = 1.....every even exponent of i is real..........2 and 4......like the 2 square.......the smallest square to fully inscribe the unit circle.......




Harmonic series (music) - Wikipedia

https://en.wikipedia.org/wiki/Harmonic_series_(music)
On the other hand, the octave series is a geometric progression (2×f, 4×f, 8×f, 16×f, ...), and people hear these distances as "the same" in the sense of musical interval. In terms of what one hears, each octave in the harmonic series is divided into increasingly "smaller" and more numerous intervals.
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3.3 Harmonic Series I: Timbre and Octaves - EarMaster

https://www.earmaster.com/music-theory-online/ch03/chapter-3-3.html
In real music, consonance and dissonance also depend on the standard practices of a musicaltradition, especially its harmony and tuning practices, but these are also often related to the harmonic series. For example, a note that is twice the frequency of another note is one octave higher than the first note.

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2M Harmonic Series - Earlham College

legacy.earlham.edu/~tobeyfo/musictheory/Book1/FFH1.../2M_HarmonicSeries.html
5:3 = major sixth 8:3 = minor sixth (8 is 4 raised by an octave). ... Mathematical basis for the Harmonic Series ... The Harmonic Series as a musical phenomenon.

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