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.Videos
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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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