User:CompactStar/Ordinal interval notation: Difference between revisions
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== Formal defintion == | == Formal defintion == | ||
In the following definition, k is a degree and X is | 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 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 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 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. | ||
== Examples == | == Examples == | ||
=== Simple directions === | === Simple directions === | ||