User:CompactStar/Ordinal interval notation: Difference between revisions

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In the following definition, k is a degree and X is any (possibly empty) sequence of lefts and rights.
In the following definition, k is a degree and X is any (possibly empty) sequence of lefts and rights.
* The central k-th is the just interval with the smallest [[Tenney height]] that is mapped to k-1 steps in [[7edo]]'s patent val and is within 20 cents of (k-1)\7edo.
* The central k-th is the just interval with the smallest [[Tenney height]] that is mapped to k-1 steps in [[7edo]]'s patent val and is within 20 cents of (k-1)\7edo.
* The leftX k-th is the just interval  with the smallest [[Tenney height]] whose direction ends with X and is flatter than the X k-th.
* The Xleft k-th is the just interval  with the smallest [[Tenney height]] whose direction starts with X and is flatter than the X k-th.
* The rightX k-th is the just interval with the smallest [[Tenney height]] whose direction ends with X and is sharper than the X k-th.
* The Xright k-th is the just interval with the smallest [[Tenney height]] whose direction starts with X and is sharper than the X k-th.


== Examples ==
== Examples ==
=== Simple directions ===
=== Simple directions ===