[r-t] Multi-cyclic composition

[Alan Reading]

I believe that another way of thinking of the structure which I find
helpful is the following.
In any plain course consisting of regular maximus methods, any lead where
the 7th is the pivot bell can always be replaced by a symmetrical link
method giving any one of the 10 possible shunts.
This composition seems to be based on the following course of p.b. lead
heads:

1234567890ET
1ET907856342
13527496E8T0
19E7T5038264
157392E4T608
1795E3T20486
18604T2E3957
1648203T5E79
108T6E492735
142638507T9E
1T0E89674523

The first lead could be a 12ths place method with 7ths p.b. as pivot,
the 2nd lead a 2nds place method with 6th p.b. as pivot (which is rung by
the 7th),
and so on alternating 12ths place, 2nds place with the place bell of the
pivot decreasing by one each time.
Until you reach the lead end 1795E3T20486. At that point you need to get
the 7th out to 12ths place bell which is where Jonathan's funny method
comes in.
After that the pattern resumes...

Then what I assume happens is that each (theoretical) regular method in the
above is replaced by a link method chosen so that the shunt it gives allows
2 or 12 of the part to ring the pivot?
Given that the methods are necessarily irregular I wonder if that is
actually a helpful restriction (music wise) in every case?

It is very interesting what happens between
1795E3T20486
18604T2E3957
and I wouldn't have necessarily guessed this could be replaced by a
symmetrical link method albeit with a 10ths place lead end.
I think it's also the case that whilst all 11 lead heads are included, the
plain bob lead end 17593E2T4068, is absent.

There are some interesting ideas at play here for sure. I still think it
might be good to come up with a course structure of regular methods where
2,7&T variously ring pivot bells.
The ones where 2 and T do can then be replaced with classical regular
methods and the ones where the 7th does with link methods.
Some work / experimentation to be done on what initial structure and what
shunts would be best for music.

Cheers,
Alan













On Wed, 31 Mar 2021 at 16:19, Jonathan Agg <jonathan.agg at gmail.com> wrote:

> On Wed, 31 Mar 2021 at 14:48, Simon Gay <Simon.Gay at glasgow.ac.uk> wrote:
>
>> Would it be correct to say that in effect all the methods are link
>> methods?
>>
>
> That's a good description, which I should have used in my original email!
>
> On Wed, 31 Mar 2021 at 14:58, Alan Reading <alan.reading at googlemail.com>
> wrote:
>
>> Variety of run types through the part I would think would be the main
>> advantage? Although perhaps also an element of Jonathan wanting to see how
>> far the idea of multiple shunts could be pushed?
>> It's not going to be easy to get all the methods to feel nice and be
>> ringable though. I wonder if there is a compromise solution with 4 or 5
>> shunts per part and a few regular methods for breathing space?
>>
>
> I agree that the potential for variety of music is a benefit, and is I
> think a necessary requirement on this type of composition to make the
> effort of learning it worthwhile. The additional 'element of surprise' of
> having the framework turn upside every lead would make it quite exciting to
> ring I think, possibly too much to cope with every lead for a whole peal!
> The idea of a compromise of roughly half link methods and half regular
> methods would probably have the same overall effect, while likely being a
> fair bit easier to learn and ring.
>
> It started as an idea to see if it was possible, and I was pleasantly
> surprised that this kind of framework with palindromic methods even
> existed, and then even more surprised that it could work with nice pivot
> bells, all being either the 2 or the tenor appropriately "cyclicly-shunted"
> from the leadhead.
>
> In the first lead the tenor is pivot from rounds. From rounds, 'good'
> options for pivot bells are 2 or T in order to have natural music.
>
> 1234567890ET (A 1E098765432T,+T, pivot:T)
>
>
> In the second lead, the eleven is pivot. This leadhead comes from the
> partend 1T234567890E, with 'good' options being E or T).
>
> 10E89674523T (B 1T3E09876542,+2, pivot:3)
>
>
> Adam has also come up with more methods fitting the same framework with
> significantly more music: https://complib.org/composition/78583 (along
> with several other interesting looking recent compositions:
> https://complib.org/composition/search/?composer=Adam%20A%20Brady)
>
> Jonathan
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>
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