Recursive structure of MOS scales: Difference between revisions

@@ Line 425: / Line 425: @@
   w₃:               [sXL ... sXL ... sXL ... sXL ... s> (s followed by complete chunks)
-Truncate the strings w₁, w₂, w₃ as follows, to get three distinct K-steps in w:
+This implies a similar contradiction to above.
- w₁':  L ... [lop off the s at the beginning of w₁, so w₁' has k s's]
- w₂': <L ... sXL ... sXL ... sXL ... ] [lop off one s at the end of w₂, so w₂' has one fewer s than w₃']
- w₃':         <L ... sXL ... sXL ... sXL ... s> [lop off an L at the beginning of w₃, so w₃' has at most k-1 s's]
-so this contradicts our original scale being a mos.
 Case 2: