13edo: Difference between revisions
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== Phi vibes == | == Phi vibes == | ||
=== Acoustic phi === | |||
13edo has a very close approximation of [[acoustic phi]] (9\13), with only -2.3 cents of error. 23edo and 36edo are even closer, but unlike all closer EDOs, 13-EDO has no other interval that represents any ratio from the Fibonacci sequence (3/2, 5/3, 8/5, 13/8, 21/13, etc.) except of course for 1/1 and 2/1. In a way, one could say that 13-EDO is the only EDO that tempers the ratios of the Fibonacci sequence into a single interval. | 13edo has a very close approximation of [[acoustic phi]] (9\13), with only -2.3 cents of error. 23edo and 36edo are even closer, but unlike all closer EDOs, 13-EDO has no other interval that represents any ratio from the Fibonacci sequence (3/2, 5/3, 8/5, 13/8, 21/13, etc.) except of course for 1/1 and 2/1. In a way, one could say that 13-EDO is the only EDO that tempers the ratios of the Fibonacci sequence into a single interval. | ||
See also: [[9edϕ]] | See also: [[9edϕ]] | ||
=== Logarithmic phi === | |||
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. | ||