User:Eliora/80edn: Difference between revisions
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'''80 equal divisions of the natave''' '''(80edn, 80ede)''' is a tuning that divides the [[natave]], e/1 into steps of 21.640 cents each, a size close to [[81/80]], the syntonic comma. The step size arises from the limit definition of the number e. | {{Infobox ET|debug=1}} | ||
'''80 equal divisions of the natave''' '''(80edn, 80ede)''' is a tuning that divides the [[natave]], e/1 into steps of 21.640 [[cents]] each, a size close to [[81/80]], the syntonic comma. The step size arises from the limit definition of the number e. | |||
== Theory == | == Theory == | ||
{{Harmonics in equal|80|2.718281828459|1|intervals=prime|columns=10}} | {{Harmonics in equal|80|2.718281828459|1|intervals=prime|columns=10}} | ||
80edn is approximates the 3.5.11.13.23 [[subgroup]] well. It can also be used as a [[dual-n|dual-2]] tuning for the full [[17-limit]]. | |||
In the 2.3.5.11.13 subgroup on the minor octave it shares the [[mapping]] with the 55bcceeeff [[val]] in [[55edo]], and tempers out 100/99, 256/243, 624/605, 704/675. | |||
== See also == | == See also == | ||
* [[81/80 equal-step tuning]] | * [[81/80 equal-step tuning]] | ||
[[Category:Transcendental]] | |||