[r-t] Compositions of the Decade: Part 9 - Maximus
Alexander Holroyd
holroyd at math.ubc.ca
Wed Dec 23 07:29:21 UTC 2009
Fantastic articles, Philip; great job. And even more thanks to the
composers of the fine specimens on display. I assume Maximus is not the
last installment...
Seeing some of these finely-honed masterpieces, I'm especially hesitant to
tout another of my contributions (since, like most of my efforts, it's
more of a simple one-shot idea). However: I'm a bit disappointed not to
see Limited Slip Differential make it into the maximus list. Like Wee
Willie Winkie, it's not the kind of thing you want to ring every day, but
the concept is novel, amusing, and has further potential.
Limited Slip Differential Maximus
-1-4-1-4-1-4-1-4-1-4-3-4-1-4-1-4-1-4-1-4-1-4-3-4-1-4-1-4-1-4-1-4-1-4-1-4-1-4-3-4-23-4
(3126E8507T94)
5040 (traditional arranged Alexander E. Holroyd and Adam P. Shepherd):
60 plain leads
This is a differential method in what I think is the original sense: there
are 3 different blue lines, which are rung by bells 123, 579E, and 4680T
respectively. Thus the number of leads in the plain course is the least
common multiple of 3, 4 and 5, i.e. 60. I believe it's the only rung
method in which the plain course is a peal length. (A suitably-placed
9ths-place brings it round at 1260, incidentally.)
I heard from someone that something similar was tried once before (but
never scored), with a different method where the sets of bells are 123,
4567 and 890ET. Can anyone confirm this?
Limited Slip has a very simple structure: basically treble bob, plus a
"slow work" that is slightly different for the 3 different types of bells.
At any time, two different bell types are in the slow. It's very easy to
ring, because there are simple rules to tell you when to go into the slow.
The real entertainment comes from the music: the bells of any one type
always course together, and they are shifted cyclically by the lead ends;
thus 579E becomes E579, and 4680T becomes 680T4. While it doesn't quite
have the "gems in every lead" property of many of Philip's selections,
there are some very interesting effects as these sets of bells course
through each other; e.g. a few rows from the first few leads are:
32E65178904T (note that 4 is an octave above E - the effect is very
noticeable here!)
231890ET5476
372109TE4568
ET3098765421
321T4567890E
E2134567890T
0T321456789E
0TE987654123
It's really a huge amount of fun to ring, especially because there's no
conductor - everyone just follows the rules, and these kinds of rows just
keep popping up.
Maximus just seems to work perfectly for this concept - the natural lead
is exactly the right length, and these sets of bells are ideal. I think
there is potential for something similar on other numbers of bells, but I
never quite managed to get it to work....
Ander
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