Miracle extensions: Difference between revisions
another 19-limit extension Tags: Mobile edit Mobile web edit Advanced mobile edit |
better language |
||
| Line 17: | Line 17: | ||
[[225/224]] factors into ([[400/399]])·([[513/512]]) in the [[19-limit]], suggesting that miracle can be extended to include prime 19 by tempering out both commas. However, this means 31edo is no longer in the valid [[diamond monotone]] range. Alternatively, 19 can be reached by tempering out [[495/494]]. The two merge in manna. | [[225/224]] factors into ([[400/399]])·([[513/512]]) in the [[19-limit]], suggesting that miracle can be extended to include prime 19 by tempering out both commas. However, this means 31edo is no longer in the valid [[diamond monotone]] range. Alternatively, 19 can be reached by tempering out [[495/494]]. The two merge in manna. | ||
There is also a natural extension to the [[23-limit]] that tempers out [[300/299]] and [[392/391]]. Using the alternative 19-limit extension, this also tempers out [[760/759]], | There is also a natural extension to the [[23-limit]] that tempers out [[300/299]] and [[392/391]]. Using the alternative 19-limit extension, this also tempers out [[760/759]], which conflates [[23/19]] with [[40/33]]. | ||
For technical information see [[Gamelismic clan #Miracle]]. | For technical information see [[Gamelismic clan #Miracle]]. | ||