16edf: Difference between revisions
Cleanup; note its lack of similarity to 27edo |
→Theory: +subsets and supersets |
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== Theory == | == Theory == | ||
16edf corresponds to 27.3522…[[edo]]. It is not quite similar to [[27edo]], but it is similar to every third step of [[82edo]]. It contains good approximations of the [[7/1|7th]] and [[13/1|13th]] [[ | 16edf corresponds to 27.3522…[[edo]]. It is not quite similar to [[27edo]], but it is similar to every third step of [[82edo]]. It contains good approximations of the [[7/1|7th]] and [[13/1|13th]] [[harmonic]]s. | ||
It serves as a good approximation to [[halftone]] temperament, containing the [[~]][[7/5]] generator at 13 steps. | It serves as a good approximation to [[halftone]] temperament, containing the [[~]][[7/5]] generator at 13 steps. | ||
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{{Harmonics in equal|16|3|2}} | {{Harmonics in equal|16|3|2}} | ||
{{Harmonics in equal|16|3|2|start=12|columns=12|collapsed=true|title=Approximation of harmonics in 16edf (continued)}} | {{Harmonics in equal|16|3|2|start=12|columns=12|collapsed=true|title=Approximation of harmonics in 16edf (continued)}} | ||
=== Subsets and supersets === | |||
Since 16 factors into primes as 2<sup>4</sup>, 16edf contains subset edfs {{EDs|equave=f| 2, 4, and 8 }}. | |||
== Intervals == | == Intervals == | ||