16edf: Difference between revisions
Cleanup; note its lack of similarity to 27edo |
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== Theory == | == Theory == | ||
16edf corresponds to 27.3522…[[edo]]. It is | 16edf corresponds to 27.3522…[[edo]]. It is similar to every third step of [[82edo]] but not quite similar to [[27edo]]; the octave is compressed by 15.45{{c}}, a small but significant deviation. 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 == | ||
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| 22 | | 22 | ||
| 965.2 | | 965.2 | ||
| [[7/4]] | | [[7/4]] | ||
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== Music == | == Music == | ||
; [[Nae Ayy]] | ; [[Nae Ayy]] | ||
* [https://www.youtube.com/watch?v=8YegsoiO1Co ''Neptune''] | * [https://www.youtube.com/watch?v=8YegsoiO1Co ''Neptune''] (2021) | ||
; [[nationalsolipsism]] | ; [[nationalsolipsism]] | ||
* [https://www.youtube.com/watch?v=-RUeO6hJLBY ''schizophrenic lullaby fugue''] | * [https://www.youtube.com/watch?v=-RUeO6hJLBY ''schizophrenic lullaby fugue''] (2011) | ||
== See also == | |||
* [[27edo]] – relative edo | |||
* [[43edt]] – relative edt | |||
* [[70ed6]] – relative ed6 | |||
* [[90ed10]] – relative ed10 | |||
* [[97ed12]] – relative ed12 | |||
{{Todo|expand}} | {{Todo|expand}} | ||
[[Category:27edo]] | |||