[r-t] Handbell all-the-work compositions
Alexander Holroyd
holroyd at math.ubc.ca
Tue Jul 26 20:49:36 UTC 2011
Interesting. How are these plans for music, though?
On Tue, 26 Jul 2011, Simon Gay wrote:
>
> In a message about variable treble cyclic spliced surprise major, Graham
> John mentioned that the part end 78123456 would be good for a "truly atw
> handbell composition" of spliced, i.e. in which every pair of bells
> rings all of the possible pairs of place bells in every method.
>
> 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.
>
> You could also consider compositions in which just 3-4, 5-6 and 7-8 ring
> all the possible pairs of place bells, but I found it easier to produce
> compositions in which *all* pairs ring all the work.
>
> You have to ring 3 courses of each method, so the natural number of
> methods is 8, giving a 5376. I have a composition of that form, as well
> as a 5152 in 7 methods, which has a simpler calling but some repeated leads.
>
> Both compositions are 21-parts, consisting of 7 3-part blocks that then
> have to be joined together. In the 5152, the parts are joined together
> by using a couple of spare leads in each part. In the 5376, the parts
> are joined together by blocks of 3 omits.
>
> In each case, I constructed the callings and then found methods to fit
> them, aiming for as many standardish methods as possible.
>
> The basic form of each composition is shown below; the attachments are
> longer and contain some possible method substitutions.
>
> Neither composition has been rung, although there was an unsuccessful
> attempt for the 5376 last summer.
>
> If anyone is interested I might write more about the construction of the
> compositions later.
>
> Simon Gay
>
>
>
>
> 5152 Spliced Surprise Major (7 methods)
>
> By S.J.Gay
>
> M B 4 W H 12345678
> -----------------------------
> - - - - L.K.B.P. 17643258
> - - OF.I. 17632458
> - - - - L.K.B.P. 15436728
> - - OF.I. 15467328
> - - - - L.K.B.P. 12364578
> - s OF.Is 13245678
> -s F.Bs 13527486
> -----------------------------
>
> 7 part
>
> 896 Bristol, Farndish
> 672 Cassiobury (O), Cray (K), Ipswich, London, Preston
>
> 160 changes of method.
>
> All the work for all pairs: every pair of bells
> rings all 21 pairs of place bells in every method.
>
> No backstroke 87s.
>
>
>
>
>
> 5376 Spliced Surprise Major (8 methods)
>
> By S.J.Gay
>
> Obs Calls Methods 12345678
> -----------------------------------------
> 8 5WOW4HOH C.M.O.K.S.Y.A.I. 15467328
> 8 5WOW4HOH C.M.O.K.S.Y.A.I. 17632458
> 8 5WOW4HO C.M.O.K.S.Y.A.I 13425678
> 7 4HOH S.Y.A.I. 15824637
> 7 5WOW4HOH C.M.O.K.S.Y.A.I. 14263857
> 7 5WOW4HOH C.M.O.K.S.Y.A.I. 13685247
> 7 5WO C.M.O.K 14235678
> 5 WOW4HOH M.O.K.S.Y.A.I. 12873465
> 5 5WOW4HOH C.M.O.K.S.Y.A.I. 13746825
> 5 5WOW4HO C.M.O.K.S.Y.A.I 14862735
> 3 4HOH S.Y.A.I. 12568743
> 3 5WOW4HOH C.M.O.K.S.Y.A.I. 18674523
> 3 5WOW4HOH C.M.O.K.S.Y.A.I. 14752683
> 3 5WO C.M.O.K 18642735
> 2 WOW4HOH M.O.K.S.Y.A.I. 16534872
> 2 5WOW4HOH C.M.O.K.S.Y.A.I. 14387562
> 2 5WOW4HO C.M.O.K.S.Y.A.I 18576342
> 4 4HOH S.Y.A.I. 16275384
> 4 5WOW4HOH C.M.O.K.S.Y.A.I. 15738264
> 4 5WOW4HOH C.M.O.K.S.Y.A.I. 18326754
> 4 5WO C.M.O.K 15786342
> 6 WOW4HOH M.O.K.S.Y.A.I. 17248536
> 6 5WOW4HOH C.M.O.K.S.Y.A.I. 18453276
> 6 5WOW4HOH C.M.O.K.S.Y.A.I. 13527486
> C C C 12345678
> -----------------------------------------
>
> 672 Ashtead, Cambridge, Cassiobury (O), Cray (K),
> Ipswich, Superlative, Wembley (M), Yorkshire
>
> 165 changes of method.
>
> All the work for all pairs: every pair of bells rings
> all 21 pairs of place bells in every method.
>
> 25 backstroke 87s.
>
>
>
>
> The University of Glasgow, charity number SC004401
>
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