Rank-3 scale theorems: Difference between revisions

Inthar (talk | contribs)
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Inthar (talk | contribs)
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==== An AG scale is unconditionally MV3 iff its cardinality is odd ====
==== An AG scale is unconditionally MV3 iff its cardinality is odd ====
We only need to see that AG + odd cardinality => MV3. But the argument in case 2 above works for any interval class (MV3 wasn't used), hence any interval class comes in at most 3 sizes.
We only need to see that AG + odd cardinality => MV3. But the argument in case 2 above works for any interval class (MV3 wasn't used), hence any interval class comes in at most 3 sizes regardless of tuning.


==== An even-cardinality MV3 is of the form W(x,y,z)W(y,x,z) (WIP) ====
==== An even-cardinality MV3 is of the form W(x,y,z)W(y,x,z) (WIP) ====