[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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