[r-t] Handbell all-the-work compositions
holroyd at math.ubc.ca
Thu Jul 28 22:27:37 UTC 2011
I think these plans might offer some quite interesting possibilities for
music. The group of order 21 that forms the part ends is a conjugate of
the one composed of rounds, queens, tittums and their cyclic rotations
The compositions given can't be transposed to have those part ends, but it
should be just as easy to get a composition starting from them. Then
there seems to be no reason why a large number of (or even all) 4-bell
runs could not be included...
On Wed, 27 Jul 2011, Simon Gay wrote:
> On 27/07/2011 16:40, Graham John wrote:
> Simon wrote:
> I have been thinking about this problem on and off for a long time, and
> I produced a couple of compositions of spliced surprise major a year or
> so ago. They are not variable treble, but they have the property that
> every pair of bells (not just the standard handbell pairs) rings all 21
> pairs of place bells in every method.
> Very interesting, Simon. I was asked whether I could come up with something
> by Eddie Futcher at a CY meeting in the 1980s, but I never got round to
> looking at it seriously.
> I need to look at these compositions in more detail, but at first glance
> they look not too bad to call, but very difficult to check the coursing
> orders or lead ends.
> Indeed, that seems to be the main problem in ringing them.
> Having something that is more cyclical might improve
> the music and keeping right.
> I didn't think about music at all, I'm afraid. These are combinatorial
> compositions rather than musical compositions. I haven't checked, but I don't
> suppose there is much noteworthy music in either composition.
> With regard to the all the pairs feature, my first thought was - wouldn't
> any composition having all the handbell pairs doing all the work have this
> as a by-product?
> I don't think so. Consider three courses of a single method, with course
> heads 12345678, 12567834, 12783456. Imagine that these three courses could
> somehow be joined together; then you would have a touch of one method that is
> handbell-atw for 3-4, 5-6 and 7-8. But, for example, the pair 6-8 would ring
> the coursing course twice, the 3-4 course once, and the 5-6 course not at
> My second thought was - can it be done using a standard
> cylic 7-part composition, reducing the number of methods from 23 to 7?
> Depending on what you mean by cyclic:
> - if you mean plain bob lead ends, both compositions are based on this
> structure, with the part being a 3-part; but actually the part in the 7-part
> structure is a round block, so the parts have to be joined together in some
> other way.
> - if (more likely) you mean part ends 13456782 etc: off the top of my head I
> don't remember how much I investigated this (it was a while ago); either I
> didn't look into it, or it didn't turn out to be the most promising idea for
> getting the calling and fitting in the methods. I'll have to look back at the
> intermediate results to check.
> The main idea in both compositions is a 3-part with a part end corresponding
> to the coursing order 8526734, in which *every* pair of bells is in a
> different relative position than it is in the plain course.
> The University of Glasgow, charity number SC004401
More information about the ringing-theory