|
|
| Line 1: |
Line 1: |
| (Probably will never finish this, because interval arithmetic makes no sense.)
| | Lefts and rights notation is a notation for just intonation in which all intervals are represented by a normal interval category combined with a sequence of lefts and rights. Left and right always mean flatter and sharper respectively. Each new left/right has less and less of an impact, so for example "rightleft" does not cancel out but means "slightly sharp". |
| | |
| '''Lefts and rights notation''' is a notation for [[just intonation]] primarily developed by [[User:CompactStar|CompactStar]]. It represents all intervals by a direction, which is a sequence of lefts and rights, and a degree. The direction with no lefts and rights is called "central". Left and right always mean flatter and sharper. Each new left/right has less and less of an impact, so for example "rightleft" does not cancel out but means "slightly right". Central, left, and right are abbreviated as C, L, and R respectively.
| |
| | |
| == Formal defintion ==
| |
| 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 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 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 ==
| |
| === Simple directions ===
| |