[r-t] Minor Principles
Glenn Taylor
gaataylor at blueyonder.co.uk
Tue Aug 15 21:05:29 UTC 2006
MBD---
Of course, what I really want is all the 65's at backstroke and all the 56's
at backstroke, too. Is there a composition with this characteristic?
------
I don't see that this is possible.
Either:
a 56 is immediately followed by a 65 (or vice-versa) in which case one of
them occurs at hand and one at back
Or:
To prevent this, every 56 or 65 must occur in consecutive rows of the form
- - - X - Y
- - - - X Y
- - - X - Y
where X & Y are 5 and 6.
But in this situation you need 48 rows of the form ---X-Y to get the 24
ending XY but there are only 24 of the former. The argument still holds even
if X moves back into 5ths place in the next row because it would then have
to move back again to 4th place to avoid a YX in the following change: you
will always need more ---X-Y than ----XY rows.
Or have I missed something?
Glenn Taylor
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