Maximum variety: Difference between revisions
Cmloegcmluin (talk | contribs) →Examples testing for MV: simplify MV checking examples, taking advantage of period complements |
Cmloegcmluin (talk | contribs) →Examples testing for MV: add diagrams |
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==== Positive ==== | ==== Positive ==== | ||
[[File:MV2 positive.png|200px|thumb|right|'''MV2''': For each generic interval class, we find a maximum of 2 different sizes.]] | |||
Consider the 5L 2s diatonic scale: LLsLLLs. For each generic interval class, we must confirm that there are only 2 specific intervals: | Consider the 5L 2s diatonic scale: LLsLLLs. For each generic interval class, we must confirm that there are only 2 specific intervals: | ||
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==== Negative ==== | ==== Negative ==== | ||
[[File:MV2 negative.png|200px|thumb|right|'''Not MV2''': For the 3rd generic interval class, we find 3 different sizes.]] | |||
How about a counterexample, LsLLLLs: | How about a counterexample, LsLLLLs: | ||
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==== Positive ==== | ==== Positive ==== | ||
[[File:MV3 positive.png|200px|thumb|right|'''MV3''': For each generic interval class, we find a maximum of 3 sizes.]] | |||
Consider the 2L 2M 3s scale with pattern LsMLsMs. | Consider the 2L 2M 3s scale with pattern LsMLsMs. | ||
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==== Negative ==== | ==== Negative ==== | ||
[[File:MV3 negative.png|200px|thumb|right|'''Not MV3''': For the 2nd generic interval class, we find 4 different sizes.]] | |||
Consider the 2L 2M 3s scale with pattern LssMLMs. | Consider the 2L 2M 3s scale with pattern LssMLMs. | ||
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==== Conditional ==== | ==== Conditional ==== | ||
[[File:MV3 conditional.png|200px|thumb|right|'''Conditionally MV3''': For the 2nd and 3rd generic interval classes, if the condition that MM=Ls is met, then this scale has a maximum of 3 different sizes; otherwise it has 4 and is therefore not MV3.]] | |||
How about the 2L 3M 2s scale with pattern LMMsMLs. | How about the 2L 3M 2s scale with pattern LMMsMLs. | ||