SQRT(7):1 | Irrational Octave Microtones

A murky theme in 12ed√7, also described as an octave ratio of √7:1. The tuning could also be described as ~8.549-TET (~8.549-EDO) or 140.368 cents per semitone.

Interestingly, the √7:1 octave ratio provides a more perfect 5th than 12-TET offers. The "5th" is just 0.116 cents off from the 3:2 just interval perfect 5th of 701.955 cents.

There are some other curious oddities with the Square Root of 7.

"On the reverse of the current US one-dollar bill, the 'large inner box' has a length-to-width ratio of the square root of 7, and a diagonal of 6.0 inches." - McGrath, Ken (2002). The Secret Geometry of the Dollar

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

Composed and Produced by Shawn Michael
© 2023 Ambient Esoterica

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#experimentalmusic #microtonal #ambient #darkambient
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