[r-t] 1536 Frog & Toad Major
pje24 at cantab.net
Tue Jun 28 16:00:11 UTC 2016
One of the most notable major compositions of recent years was successfully
rung at the weekend: Prof. Ander Holroyd’s music-fest 1536 major containing
all possible rows starting or finishing with a run of four or more
consecutive bells (http://bb.ringingworld.co.uk/view.php?id=1014795)
Ander described the composition and its genesis in depth in a February 2015
message to this list – see
As a quick summary, the composition is a stand-alone finely crafted work of
genius that boils down to a 16-part with part ends being cyclic rotations of
rounds and their reverses.
One way of describing the composition in terms of methods is in terms of
splicing two rotationally-symmetric methods: Frog (a principle with 71
changes per division) and Toad (a differential with 25 changes per
division). See Ander’s description at
https://www.math.ubc.ca/~holroyd/comps/frogtoad8.txt and a .pdf of all rows
(highlighting runs) at https://www.math.ubc.ca/~holroyd/runs.pdf.
Is this the best way of describing the composition? I'd be very interested
in seeing other partitions that anyone may feel are more natural.
In any case, it's a really great achievement to produce this (and indeed to
score this - it's far from easy to learn and ring, but a very worthwhile
challenge). Especially given the accessible quarter-peal length I really
hope some other bands will be up to the challenge of giving this a go.
Any more developments on this theme to report, Ander?
bob = 3
Toad Differential Major:
bob = 6
Start and finish at the half-lead of Frog: 56-4.56.1...
More information about the ringing-theory