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I'm a bit skeptical of this

The concept of Octaves (as a lot of concepts in music) comes from physics. Because one of the most basic instruments you can have is a string under tension.

Pluck the string: note

Pluck the same string pinched in the middle: same note one octave higher

Not to mention Note + Note(octave higher) will have the harmonics overlapping, so it will sound better since there won't be any beating.



Yeah, but the idea of half == same is very specific to music. In no other domain do we do this.


Half != same, and harmonics exist in plenty of other domains.


While not semantically the "same" - you'd be surprised where this principle shows up:

https://en.wikipedia.org/wiki/Orbital_resonance


Your mind wants it to be simple. I heard of some country guitarists that de-tune their strings on purpose to get more chord richness. "Better" is in the ear of the auditor.


> so it will sound better since there won't be any beating

Unless presence or absence of beating is itself either a thing we learn to detect, or a thing we learn to associate with better-ness or worse-ness, rather than both being innate?


> Because one of the most basic instruments you can have is a string under tension.

I guess percussion instruments are even more basic. Just a piece of wood or of metal with a random shape. For percussion instruments (unless they are laboriously tuned to be harmonic), the octave is nothing special.




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