User:CompactStar/Lefts and rights notation: Difference between revisions
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Pythagorean intervals do not use any lefts or rights. The left (L) interval in a given category is the simplest (with respect to [[Tenney height]]) interval which is flatter than the Pythagorean version. For example, the leftminor third is [[7/6]]. Similarly, the right (R) interval in a category is the simplest one that is sharper than the Pythagorean version (for minor thirds this is [[6/5]]). After this, the types split up into 4 using 2 lefts and rights: | |||
* The leftleft (LL) interval is the simplest which is flatter than the left interval. For minor thirds: [[36/31]] | |||
* The leftright (LR) interval is the simplest which is between the left interval and the Pythagorean interval. For minor thirds: [[13/11]] | |||
* The rightleft (RL) interval is the simplest which is between the Pythagorean interval and the right interval. For minor thirds: [[19/16]] | |||
* The rightright (RR) interval is the simplest which is sharper than the right interval. For minor thirds: [[11/9]] | |||
And then using 3 lefts and rights: | |||