[r-t] Unexpectedly musical courses (was Muppet Show S Major)
Don Morrison
dfm at ringing.org
Sun Mar 15 20:00:49 GMT 2009
This thread set me thinking about what courses produce internal
rollups in various methods, too, where I'm still counting rollups at
the beginning or end as a subset of "internal".
Unsurprisingly, the coursing order 765432 in Muppet Show, and to a
lesser extent in Superlative, does well on this metric, primarily
because of the external rollups already considered.
However, there are some other interesting possibilities. One of the
more entertaining is the otherwise uninteresting coursing order
247536, or its reverse, in Plain Bob Major. It produces the following
twenty internal 4 (or more) bell rollups, without any external
rollups. Obviously, they occur in pairs half a lead apart.
12487653
13567842
17543268
18623457
21487653
24876513
24876531
31567842
35678124
35678412
35678421
42187653
68123457
71543268
75432186
75432618
75432681
81623457
86234517
86234571
Twenty for a plain method is the same on a per opportunity basis as
forty in a treble dodging one, so this could be argued to beat
Superlative and to come close to Muppet Show, and is all strictly
internal, no external.
Has anyone ever made use of this course?
--
Don Morrison <dfm at ringing.org>
"If there are twelve named notes within an octave, why are there only
seven letters? After centuries of being forced to eat in the servants'
quarters and to use the back entrance of the castle, this may just be
an invention by musicians to make nonmusicians feel inadequate."
-- Daniel J Levitin, _This is Your Brain on Music_
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