Porcupine extensions: Difference between revisions
m added mention of 7-limit alternatives Tag: Reverted |
The reader is encouraged to use the family page for alt 7-limit extensions Tags: Undo Reverted |
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* '''Porcupinefowl''' (15 & 22f) – tempering out 40/39, 55/54, 64/63, and 66/65; | * '''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; | * '''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, | * '''Porkpie''' (15f & 22) – tempering out 55/54, 64/63, 65/63, 100/99; | ||
* '''Pourcup''' (15f & 22f) – tempering out 55/54, 64/63, 100/99, and 196/195. | * '''Pourcup''' (15f & 22f) – tempering out 55/54, 64/63, 100/99, and 196/195. | ||
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. | 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. | ||