9edϕ: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
9 equal divisions of [[acoustic phi]] (9edϕ) is a [[tuning system]] that [[Edφ|evenly divides ϕ]] into 9 parts of approximately 92.566 cents each. This scale is closely related to [[13edo]], but slightly stretched. The result is an equal 13-tone-per-octave scale where acoustic phi is [[Just intonation|justly intonated]], and the | 9 equal divisions of [[acoustic phi]] (9edϕ) is a [[tuning system]] that [[Edφ|evenly divides ϕ]] into 9 parts of approximately 92.566 cents each. This scale is closely related to [[13edo]], but slightly stretched. The result is an equal 13-tone-per-octave scale where acoustic phi is [[Just intonation|justly intonated]], and the octave is stretched by 3.353 cents. | ||
{{Harmonics in cet|92.5656|columns=15}} | |||
<pre> | <pre> | ||
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== Logarithmic phi == | == Logarithmic phi == | ||
9edϕ has a very close approximation of [[logarithmic phi]] on its 21st step, with only +2.2 cents of error. This is because 9edϕ is related to 13edo, which is a Fibonacci edo. | |||