Freave

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This page presents a niche topic.

While not arbitrary, it may contain ideas whose practical applications in music are unknown or narrow in scope.

Niche topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks.

Interval information
Expression [math]\displaystyle{ \frac{\text{root of }1-\cos(\sqrt{x})\cosh(\sqrt{x})\text{ near }x=62}{\text{root of }1-\cos(\sqrt{x})\cosh(\sqrt{x})\text{ near }x=22} }[/math]
Size in cents 1755.429¢
Name freave
Harmonic entropy
(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])
~4.15874 bits

The freave is the ratio between the second partial and the fundamental frequency of a thin bar with free ends. The name freave is a combination of free and octave, by analogy of the normal octave.

See also