40ed10: Difference between revisions
→Intervals: rework (I'm only putting the simplest interpretations) |
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== Theory == | == Theory == | ||
40ed10 is related to [[12edo]], but with 10/1 instead of 2/1 being just. The octave | 40ed10 is related to [[12edo]], but with 10/1 instead of 2/1 being just. The octave is compressed from pure by 4.106{{c}}, a small but significant deviation. | ||
=== Harmonics === | === Harmonics === | ||
{{Harmonics in equal|40|10|1|intervals=integer}} | {{Harmonics in equal|40|10|1|intervals=integer}} | ||
{{Harmonics in equal|40|10|1intervals=integer|start=12|columns=12|collapsed=1|title=Approximation of harmonics in 40ed10 (continued)}} | {{Harmonics in equal|40|10|1intervals=integer|start=12|columns=12|collapsed=1|title=Approximation of harmonics in 40ed10 (continued)}} | ||
=== Subsets and supersets === | |||
Since 40 factors into 2<sup>3</sup> × 5, 40ed10 has subset ed10's {{EDs|equave=10| 2, 4, 5, 8, 10, and 20 }}. | |||
=== Miscellany === | |||
It is possible to call this division a form of '''kilobyte tuning''', as | |||
<math>2^{10} \approx 10^{3} = 1024 \approx 1000</math>; | |||
which lies in the obsolete practice of using a decimal prefix to an otherwise binary unit of information. | |||
== Intervals == | == Intervals == | ||
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| [[10/1]] | | [[10/1]] | ||
|} | |} | ||
== Regular temperaments == | == Regular temperaments == | ||
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== See also == | == See also == | ||
* [[7edf]] – relative edf | |||
* [[12edo]] – relative edo | * [[12edo]] – relative edo | ||
* [[ | * [[19edt]] – relative edt | ||
* [[28ed5]] – relative ed5 | * [[28ed5]] – relative ed5 | ||
* [[31ed6]] – relative ed6 | * [[31ed6]] – relative ed6 | ||
* [[34ed7]] – relative ed7 | * [[34ed7]] – relative ed7 | ||
* [[42ed11]] – relative ed11 | * [[42ed11]] – relative ed11 | ||
* [[76ed80]] – close to the zeta-optimized tuning for 12edo | |||
* [[1ed18/17|AS18/17]] – relative [[AS|ambitonal sequence]] | * [[1ed18/17|AS18/17]] – relative [[AS|ambitonal sequence]] | ||
[[Category:12edo]] | |||
[[Category:Sonifications]] | [[Category:Sonifications]] | ||