13edo: Difference between revisions
Contribution (talk | contribs) |
Contribution (talk | contribs) →Logarithmic phi: 79 does not belong to the fibonacci sequence and therefore is not relevant for logarithmic phi |
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As a coïncidence, 13edo also has a very close appoximation of [[logarithmic phi]] (21\13), with only -3.2 cents of error. | As a coïncidence, 13edo also has a very close appoximation of [[logarithmic phi]] (21\13), with only -3.2 cents of error. | ||
Not until [[ | Not until [[144edo|144]] do we find a better EDO in terms of relative error on these two intervals. | ||
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. | ||