Golden ratio: Difference between revisions
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The phith root of phi (<math>\sqrt[\varphi]{\varphi}</math> or approximately 514.878 cents) is another useful interval for generating golden scales. Similarly to [[logarithmic phi]], <math>\sqrt[\varphi]{\varphi}</math> can be used as a generator interval to produce MOS scales whose sizes are Fibonacci numbers, where the equave is the acoustic phi instead of the octave. In this way it is a useful generator if you wish to avoid octaves and maximize the golden properties of the resulting scale. | The phith root of phi (<math>\sqrt[\varphi]{\varphi}</math> or approximately 514.878 cents) is another useful interval for generating golden scales. Similarly to [[logarithmic phi]], <math>\sqrt[\varphi]{\varphi}</math> can be used as a generator interval to produce MOS scales whose sizes are Fibonacci numbers, where the equave is the acoustic phi instead of the octave. In this way it is a useful generator if you wish to avoid octaves and maximize the golden properties of the resulting scale. | ||
== External links == | |||
* [http://tonalsoft.com/enc/p/phi.aspx Phi Φ / phi φ] on [[Tonalsoft Encyclopedia]] | |||
[[Category:Golden ratio| ]] | [[Category:Golden ratio| ]] | ||
[[Category:Irrational intervals]] | [[Category:Irrational intervals]] | ||