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However, it should be noted that when we are hearing logarithmic phi, we are in fact hearing 2**(phi) ≃ 3.070. While this interval can still be used in a way or another as a useful tone in a piece of music, it doesn't correspond to anything. When it comes to acoustic phi, we are truly hearing the mathematical constant phi ≃ 1.6180.
However, it should be noted that when we are hearing logarithmic phi, we are in fact hearing 2**(phi) ≃ 3.070. While this interval can still be used in a way or another as a useful tone in a piece of music, it doesn't correspond to anything. When it comes to acoustic phi, we are truly hearing the mathematical constant phi ≃ 1.6180.
[[Logarithmic constants VS acoustic constants|Acoustic constants are genuine numerical values with a mathematical and physical meaning, whereas logarithmic constants lack such a basis and are therefore fake.]]


That being said, logarithmic phi has interesting musical applications as [[Metallic MOS]], and in particular the fractal-like possibilities of self-similar subdivision of musical scales.
That being said, logarithmic phi has interesting musical applications as [[Metallic MOS]], and in particular the fractal-like possibilities of self-similar subdivision of musical scales.
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