UDP: Difference between revisions

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added an "Issues" section
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* Porcupine[7] Lssssss: 6|0
* Porcupine[7] Lssssss: 6|0
* Porcupine[7] Lssssss mode, but altered with 7/4 instead of 11/6: 6|0 b7
* Porcupine[7] Lssssss mode, but altered with 7/4 instead of 11/6: 6|0 b7
* Porcupine[7] sssLsss: 3|3</li><li>Diminished[8] sLsLsLsL 0|4(4)
* Porcupine[7] sssLsss: 3|3<li>Diminished[8] sLsLsLsL 0|4(4)
* Diminished[8] LsLsLsLs 4|0(4)</li><li>Triforce[9] LLsLLsLLs: 6|0(3)
* Diminished[8] LsLsLsLs 4|0(4)</li><li>Triforce[9] LLsLLsLLs: 6|0(3)
* Meantone[5] minor pentatonic, LssLs: 3|1
* Meantone[5] minor pentatonic, LssLs: 3|1
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* Paul Erlich's standard pentachordal major for Pajara[10] is 4|4(2) #8, or alternatively 6|2(2) b3.
* Paul Erlich's standard pentachordal major for Pajara[10] is 4|4(2) #8, or alternatively 6|2(2) b3.


== Issues ==
== Issues and Limitations ==
Requiring the generator to always be bright causes certain issues:
Requiring the generator to always be bright causes certain issues:
* The major pentatonic scale is a subset of the major scale. The genchain is simply shortened on either end. Thus one would expect the major pentatonic scale contained within Meantone[7] 5|1 to be Meantone[5] 4|0. But instead it's  Meantone[5] 0|4. This is because changing the size of the MOS scale often changes the generator to its octave inverse. Meantone[5]'s bright generator is the 4th not the 5th.
* The major pentatonic scale is a subset of the major scale. The genchain is simply shortened on either end. Thus one would expect the major pentatonic scale contained within Meantone[7] 5|1 to be Meantone[5] 4|0. But instead it's  Meantone[5] 0|4. This is because changing the size of the MOS scale often changes the generator to its octave inverse. Meantone[5]'s bright generator is the 4th not the 5th.
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