6edϕ: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
'''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 well approximated by every third step of [[26edo]]. | '''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 well-approximated by every third step of [[26edo]]. | ||
It serves as a basic 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. | It serves as a basic 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, or the 5th and 2nd steps if acoustic phi is taken as an equivalence. | ||
== Interval table == | == Interval table == | ||
{{Interval table}} | {{Interval table}} | ||