[r-t] Jumpin Jiminy
Richard Pullin
grandsirerich at googlemail.com
Tue Apr 12 13:22:51 BST 2022
This challenging new Triples principle might be of interest. The plain
course has 336 rows and makes liberal use of jump changes. The conventional
changes are all triple, and there are no long places. It uses only three
different place notations: 7, 1, and (31)[6475].
As 15 courses are required for a 5040, very simple bobs-only compositions
are made possible just by inserting q-sets of 3 bobs (much like in
Kidderminster Minor)
5040 Jiminy Jump Triples
RBP (op. 2)
3 4 5
-----
2 3 4132
- - 2314
----------
3 part
Bob = 5
It is rare to find a peal composition of Triples for which adding ordinary
q-sets of 3 was the sole technique required to produce it. I can't think of
another single-method example.
This project had its origin a little while back. I wanted to find a Triples
principle that required an odd number of courses for an extent, and
contained only triple changes. I had the idea of using the 168 group for
the +tive rows of the plain course, plus 168 -tive rows mapped onto each
+tive row by PN 7. The resulting 336 rows are therefore not a group but
would still be extentable; and they would partition the extent into an
odd number of courses.
Such a principle isn't possible without introducing long places or
compromising triple changes, even with the extra 168 -tive rows to dilute
things. So I dropped the idea, until realizing last week that jump changes
could be used. This is almost completely new territory for me, so I've no
idea how Jiminy Jump Triples ranks on the elegance & taste scale -
(31)[6475] is quite a sledgehammer, but the subtler jump changes aren't an
option.
Doubtful of whether 'triple changes throughout' really counts in a jump
construct, perhaps a better description would be 'never more than one bell
lying still in a row.'
Place Notation:
(31)[6475].7.1.7.1.7.1.7.1.7.1.7.(31)[6475].7.1.7.(31)[6475].7.1.7.1.7.(31)[6475].1.(31)[6475].7.1.7.1.7.1.7.(31)[6475].7.(31)[6475].1.(31)[6475].7.1.7.1.7.1.7.(31)[6475].7.(31)[6475].7
3152746
Blue Line: https://complib.org/method/45106
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://bellringers.org/pipermail/ringing-theory/attachments/20220412/3ee0ac99/attachment.htm>
More information about the ringing-theory
mailing list