Porcupine extensions: Difference between revisions

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* '''Porcupinefowl''' (15 & 22f) – tempering out 40/39, 55/54, 64/63, and 66/65;

* '''Porcupinefish''' (15 & 22) – tempering out 55/54, 64/63, 91/90, and 100/99;

* '''Porkpie''' (15f & 22) – tempering out 55/54, 64/63, 65/63, 100/99;

* '''Porkpie''' (15f & 22) – tempering out 55/54, 64/63, 65/63, and 100/99;

* '''Pourcup''' (15f & 22f) – tempering out 55/54, 64/63, 100/99, and 196/195.

Additionally, there are alternative extensions to prime 7:

* '''[[Opossum]]''' (8d & 15) - tempering out 28/27, 40/39, 55/54, and 66/65.

* '''Porky''' (22 & 29) - tempering out 55/54, 65/64, 91/90, and 100/99;

* '''Coendou''' (29 & 36ce) - tempering out 55/54, 65/64, 100/99, and 105/104.

Porcupinefowl maps [[13/8]] to -2 generator steps and conflates it with [[5/3]] and [[18/11]], tempering out [[40/39]]. This is where the generator, representing [[10/9]], [[11/10]], and [[12/11]], goes one step further to stand in for ~[[13/12]]. Porkpie maps 13/8 to +5 generator steps and conflates it with [[8/5]], tempering out [[65/64]]. The generator now represents ~[[14/13]]. Without optimization for the 13-limit, porcupinefowl sharpens the interval class of 13 by about 30 cents, and porkpie flattens it by about 20.

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 * '''Porcupinefowl''' (15 & 22f) – tempering out 40/39, 55/54, 64/63, and 66/65;
 * '''Porcupinefish''' (15 & 22) – tempering out 55/54, 64/63, 91/90, and 100/99;
-* '''Porkpie''' (15f & 22) – tempering out 55/54, 64/63, 65/63, 100/99;
+* '''Porkpie''' (15f & 22) – tempering out 55/54, 64/63, 65/63, and 100/99;
 * '''Pourcup''' (15f & 22f) – tempering out 55/54, 64/63, 100/99, and 196/195.
+Additionally, there are alternative extensions to prime 7:
+* '''[[Opossum]]''' (8d & 15) - tempering out 28/27, 40/39, 55/54, and 66/65.
+* '''Porky''' (22 & 29) - tempering out 55/54, 65/64, 91/90, and 100/99;
+* '''Coendou''' (29 & 36ce) - tempering out 55/54, 65/64, 100/99, and 105/104.
 Porcupinefowl maps [[13/8]] to -2 generator steps and conflates it with [[5/3]] and [[18/11]], tempering out [[40/39]]. This is where the generator, representing [[10/9]], [[11/10]], and [[12/11]], goes one step further to stand in for ~[[13/12]]. Porkpie maps 13/8 to +5 generator steps and conflates it with [[8/5]], tempering out [[65/64]]. The generator now represents ~[[14/13]]. Without optimization for the 13-limit, porcupinefowl sharpens the interval class of 13 by about 30 cents, and porkpie flattens it by about 20.