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

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There are some other scales though, that don't seem to use any consistent stacking pattern or anything like that. Such nice patterns are called MOSes, and not all scales are MOSes.

===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, ~~with~~ a ~~perfect fifth above the root, fourth, and fifth, and~~ a ~~wolf fifth above the fourth, sixth, and seventh~~.

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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 There are some other scales though, that don't seem to use any consistent stacking pattern or anything like that. Such nice patterns are called MOSes, and not all scales are MOSes.
+{{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, with a perfect fifth above the root, fourth, and fifth, and a wolf fifth above the fourth, sixth, and seventh.
+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).