15edo/Unque's compositional approach: Difference between revisions

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3L 2M 2s: Fixed information regarding the generation of 3L 2M 2s.
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15edo and Mode 11: Added 35/22 and 38/33 to the interval list
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=== 15edo and Mode 11 ===
=== 15edo and Mode 11 ===
[[11afdo|Mode 11]] of the Harmonic Series, alongside its supersets, provides another interesting way to interpret intervals of 15edo.  Notably, the intervals [0 2 5 7 8 12 13 14 15] can be interpreted as an approximation of the chord 11:12:14:15:16:19:20:21:22.  The /11 logic can be extended to supersets of mode 11 to provide interpretations of other intervals, such as [[22afdo|mode 22]] providing 23/22 as an interpretation of 1\15, and 29/22 as 6\15; additionally, [[33afdo|mode 33]] provides 50/33 as 9\15, and 55/33 as 11\15.
[[11afdo|Mode 11]] of the Harmonic Series, alongside its supersets, provides another interesting way to interpret intervals of 15edo.  Notably, the intervals [0 2 5 7 8 12 13 14 15] can be interpreted as an approximation of the chord 11:12:14:15:16:19:20:21:22.  The /11 logic can be extended to supersets of mode 11 to provide interpretations of other intervals, such as [[22afdo|mode 22]] providing 23/22 as an interpretation of 1\15, 29/22 as 6\15, and 35/22 as 10\15; additionally, [[33afdo|mode 33]] provides 38/33 as 3\15, 50/33 as 9\15, and 55/33 as 11\15.


This interpretation may also be criticized once again due to a lack of accuracy, but it is notably more consistent than the Carlos Alpha interpretations as the difference between the tunings does not accrue per step.
This interpretation may also be criticized once again due to a lack of accuracy, but it is notably more consistent than the Carlos Alpha interpretations as the difference between the tunings does not accrue per step.