UDP: Difference between revisions

Mike Battaglia (talk | contribs)
Mike Battaglia (talk | contribs)
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For mavila[7], the formerly "bright" generator becomes the dark one and vice versa, so that we have that the sLssLss (anti-Aeolian) mode is 4|2, and the ssLsssL (anti-Ionian) mode is 1|5. Note that anti-Aeolian is indeed "brighter" than anti-Ionian in mavila[7], due to how sharps and flats are inverted in the anti-diatonic scale relative to where they'd be in the diatonic scale.
For mavila[7], the formerly "bright" generator becomes the dark one and vice versa, so that we have that the sLssLss (anti-Aeolian) mode is 4|2, and the ssLsssL (anti-Ionian) mode is 1|5. Note that anti-Aeolian is indeed "brighter" than anti-Ionian in mavila[7], due to how sharps and flats are inverted in the anti-diatonic scale relative to where they'd be in the diatonic scale.


Note that for mavila[9], the fifth again becomes the bright generator. This demonstrates an interesting property: the choice of bright or dark generator can be different for the different MOS's of the same temperament. So in mavila[9], the LLLsLLLLs "superionian" scale is now 7|1, and the sLLLLsLLL "superphrygian" scale is now 1|7.
Note that for mavila[9], the fifth again becomes the bright generator. This demonstrates an interesting property: the choice of bright or dark generator can be different for the different MOS's of the same temperament. So in mavila[9], the LLLsLLLLs "superionian" mode is now 7|1, and the sLLLLsLLL "superphrygian" mode is now 1|7.


For more exotic scales, such as porcupine[7], we have that the Lssssss mode is 6|0, and that the sssLsss mode is 3|3.  
For more exotic scales, such as porcupine[7], we have that the Lssssss mode is 6|0, and that the sssLsss mode is 3|3.


== Scales with Multiple Periods per Octave ==
== Scales with Multiple Periods per Octave ==
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