User:Inthar/MV3: Difference between revisions

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 First we prove that chunk sizes can't differ by 2 or more.
-By elimination we can assume that we have at least three Qs.
+say you have some intvl class (k steps) with 3 variants in X's and Q's:
+* S1 = a1X + b1Q, represented by the word s1 in the MV3 scale
+* S2 = a2X + b2Q, word s2
+* S3 + a3X + b3Q, word s3
+(si to be chosen later)
+Say that the mos formed by the Ys and Zs is rY sZ, wolog r > s.
+The # of chunks in rY sZ is s. The min chunk size is floor(r/s).
+The idea is to keep extending si to the right until the chunk size in the MOS guarantees an extra variety.
+By manually eliminating finitely many cases, we can assume that the scale is at least 5 notes and we have at least three Qs.
 have some length (say that of max chunk) word with no q's,one q and 2 q's.