Kirnberger's atom: Difference between revisions

Overthink (talk | contribs)
Temperaments: trim list; nvm about the optimal ET sequence (5-limit omits some of them, included in later limits but still not the best reference?)
Overthink (talk | contribs)
Approximation: use the actual closest edo
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== Approximation ==
== Approximation ==
However, if one wants to accurately represent the interval without tempering it out, there are very large edos that do this. [[78005edo]] not only has a step size that is very close to Kirnberger's atom and consistently represents it, but it is also one of, if not the most accurate 5-limit edo for its size. [[78123edo]]'s step size is even closer, but Kirnberger's atom is not consistently represented (1 step via [[direct approximation]] and 3 steps by [[patent val]]).
However, if one wants to accurately represent the interval without tempering it out, there are very large edos that do this. [[78005edo]] not only has a step size that is very close to Kirnberger's atom and consistently represents it, but it is also one of, if not the most accurate 5-limit edo for its size. The edo with the closest step to Kirnberger's atom is [[78120edo]], but it is not consistently represented (1 step via [[direct approximation]] and 24 steps by [[patent val]]).


[[Category:Atomic]]
[[Category:Atomic]]