User:Astaryuu/15edo Notes/Scales and modes: Difference between revisions

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===Zarlino/Nicetone===

This is the equivalent of diatonic for 15edo. However, unlike a true diatonic, zarlino isn't a MOS. This is because diatonic expects a generator of a coprime fifth, but 9\15 can't be its generator since it isn't coprime, and 8\15 can't be a generator because 8\15-based scales have only one small jump rather than the expected two. So, we mix the two, placing them in such a way as to get as close as ~~possoble~~ to a normal diatonic.

This is the equivalent of diatonic for 15edo. However, unlike a true diatonic, zarlino isn't a MOS. This is because diatonic expects a generator of a coprime fifth, but 9\15 can't be its generator since it isn't coprime, and 8\15 can't be a generator because 8\15-based scales have only one small jump rather than the expected two. So, we mix the two, placing them in such a way as to get as close as possible to a normal diatonic.

This scale is actually chiral, with a "right-handed" variation and a "left-handed" variation. Right-handed zarlino modes have the gap pattern {3 2 3 1 '''3 2''' 1} in some order, while left-handed zarlino modes have the gap pattern {3 2 3 1 '''2 3''' 1} in them. This has dramatic implications. Left-handed zarlino major has a perfect fifth on second position, while right-handed zarlino major has a wolf fifth there instead. Conversely, a ninth chord on the root sounds more major in right-handed zarlino major than in left-handed zarlino major (since it uses the second scale degree).

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 {{edobox|Right-handed zarlino-ionian|0|3|5|6|9|11|14}}
 ===Zarlino/Nicetone===
-This is the equivalent of diatonic for 15edo. However, unlike a true diatonic, zarlino isn't a MOS. This is because diatonic expects a generator of a coprime fifth, but 9\15 can't be its generator since it isn't coprime, and 8\15 can't be a generator because 8\15-based scales have only one small jump rather than the expected two. So, we mix the two, placing them in such a way as to get as close as possoble to a normal diatonic.
+This is the equivalent of diatonic for 15edo. However, unlike a true diatonic, zarlino isn't a MOS. This is because diatonic expects a generator of a coprime fifth, but 9\15 can't be its generator since it isn't coprime, and 8\15 can't be a generator because 8\15-based scales have only one small jump rather than the expected two. So, we mix the two, placing them in such a way as to get as close as possible to a normal diatonic.
 This scale is actually chiral, with a "right-handed" variation and a "left-handed" variation. Right-handed zarlino modes have the gap pattern {3 2 3 1 '''3 2''' 1} in some order, while left-handed zarlino modes have the gap pattern {3 2 3 1 '''2 3''' 1} in them. This has dramatic implications. Left-handed zarlino major has a perfect fifth on second position, while right-handed zarlino major has a wolf fifth there instead. Conversely, a ninth chord on the root sounds more major in right-handed zarlino major than in left-handed zarlino major (since it uses the second scale degree).