60edf: Difference between revisions
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So perhaps a reasonable - if clunky - way to interpret 60edf, is as a [[dual-n|dual]]-2, dual-3, dual-13 [[31-limit]] tuning. Extending it to the [[37-limit]] could also be an option. | So perhaps a reasonable - if clunky - way to interpret 60edf, is as a [[dual-n|dual]]-2, dual-3, dual-13 [[31-limit]] tuning. Extending it to the [[37-limit]] could also be an option. | ||
{{Harmonics in equal|60|3|2|intervals=prime|columns=13|title=Approximation of primes in 60edf | {{Harmonics in equal|60|3|2|intervals=prime|columns=13|title=Approximation of primes in 60edf}} | ||
{{Harmonics in equal|60|3|2|intervals=integer|columns=11|collapsed=true|title=Approximation of integers in 60edf | {{Harmonics in equal|60|3|2|intervals=integer|columns=11|collapsed=true|title=Approximation of integers in 60edf }} | ||
{{Harmonics in equal|60|3|2|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of integers in 60edf (continued)}} | {{Harmonics in equal|60|3|2|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of integers in 60edf (continued)}} | ||
=== Subsets and supersets === | === Subsets and supersets === | ||
As a highly composite | As a highly composite edf, 60edf includes as subsets: [[2edf]], [[3edf]], [[5edf]], [[6edf]], [[9edf]], [[10edf]], [[12edf]], [[15edf]], [[20edf]] and [[30edf]]. | ||
This makes it potentially a good [[polymicrotonal]] system for using multiple edfs (or their stretched/compressed relative edos) simultaneously. | This makes it potentially a good [[polymicrotonal]] system for using multiple edfs (or their stretched/compressed relative edos/ed4s) simultaneously. | ||
The relative edos/ed4s of its subsets are: [[7ed4]], [[5edo]], [[9edo]]/[[17ed4]], [[21ed4]], [[31ed4]], [[17edo]], [[21edo]]/[[41ed4]], [[26edo]], [[34edo]] and [[51edo]]/[[103ed4]]. | |||
The simplest supersets of 60edf are [[120edf]] and [[180edf]]. | The simplest supersets of 60edf are [[120edf]] and [[180edf]]. | ||
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== Intervals == | == Intervals == | ||
{{Interval table}} | {{Interval table}} | ||
== Instruments == | |||
A [[Lumatone mapping for 60edf]] is now available. | |||
== Music == | == Music == | ||
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* [[205ed4]] – relative ed4 | * [[205ed4]] – relative ed4 | ||
* [[265ed6]] - relative ed6 | * [[265ed6]] - relative ed6 | ||
[[Category:Nonoctave]] | |||