Recursive structure of MOS scales: Difference between revisions

Inthar (talk | contribs)
Inthar (talk | contribs)
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Truncate the strings as follows, to get three distinct K-steps in w:
Truncate the strings as follows, to get three distinct K-steps in w:
  w1':  L ... [lop off the s at the beginning of w1, so we have k s's]
  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 this has one fewer s than w3']
  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, result has at most k-1 s's]
  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.
so this contradicts our original scale being a mos.