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

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=== 15edo and Mode 11 ===

[[11afdo|Mode 11]] of the Harmonic Series 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 [[33afdo|mode 33]] ~~providing~~ 50/33 as ~~an extremely accurate interpretation of~~ 9\15, and 55/33 as ~~an interpretation of~~ 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, and 29/22 as 6\15; additionally, [[33afdo|mode 33]] provides 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.

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 === 15edo and Mode 11 ===
-[[11afdo|Mode 11]] of the Harmonic Series 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 [[33afdo|mode 33]] providing 50/33 as an extremely accurate interpretation of 9\15, and 55/33 as an interpretation of 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, and 29/22 as 6\15; additionally, [[33afdo|mode 33]] provides 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.