[r-t] How much of a method do you need to include? (was Proof
Mark Davies
mark at snowtiger.net
Mon Aug 11 06:55:01 UTC 2008
Matthew writes,
> Same rows, different peal because the rows come in a different order. At
> this point you are acually changing what is rung and not just the
> description/interpretation
No: this is the point you've missed, I think. The rows come in the same
order. The peal looks exactly like Stedman Triples, is rung like Stedman
Triples, and is a false peal of Stedman Triples. But the thing is, you can
look at isolated changes - say change numbers 523, 525, 527, 2246, 2248 and
2250 - and make an extent of Singles. Due to the structure of Stedman, look
at changes 524, 526, 528, 2245, 2247 and 2249 and you've got another extent
of Singles. You've now "extracted" two false sixes, so look at the rest of
the peal and it's now true.
Unless you add some rule about partitioning into stages by methods, or
blocks, or structure of composition, then what I've described is possible,
and is a means of "proving" a false peal and saying it's true against
multiple stages.
MBD
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