6edϕ: Difference between revisions
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'''6 equal divisions of [[acoustic phi]]''' ('''6edϕ''') is the [[nonoctave]] [[tuning system]] derived by dividing [[acoustic phi]] into 6 equal steps of 138.8 [[cent]]s each, or the sixth root of the golden ratio. It is best known as the equal-tempered version of the [[Bohlen-Pierce]] scale. | '''6 equal divisions of [[acoustic phi]]''' ('''6edϕ''') is the [[nonoctave]] [[tuning system]] derived by dividing [[acoustic phi]] into 6 equal steps of 138.8 [[cent]]s each, or the sixth root of the golden ratio. It is best known as the equal-tempered version of the [[Bohlen-Pierce]] scale. | ||
It serves as a tempered approximation for [[metallic harmonic series]], and the associated [[metallic intonation]]. The first metallic harmonic (the golden ratio) is represented exactly by the sixth step, while the second and third metallic harmonics are represented by the 11th and 15th steps respectively. | It serves as a tempered approximation for the [[metallic harmonic series]], and the associated [[metallic intonation]]. The first metallic harmonic (the golden ratio) is represented exactly by the sixth step, while the second and third metallic harmonics are represented by the 11th and 15th steps respectively. | ||
== Interval table == | == Interval table == | ||
{{Interval table}} | {{Interval table}} | ||