[r-t] Chandler's and quarter peal compositions

[Philip Earis]

John Durham (on change-ringers):

"...perhaps Mr Earis could expand on it a bit so that some of us mere
mortals could see how to make learning the Chandler's methods into an easy
exercise?"

As a side-note to my email to the c-r list, I've just spent an idle hour
using Philip Saddleton's excellent SCAMP software to put together four atw
quarter peals which between them contain all the Chandler's methods.

For musical properties and elegance I wanted them to be cyclic 7-parts. 
With only (usually) six leads per part for a quarter, my favourite way of
doing this is simply using 3 bobs at before, to bring up the part-end
17823456.  Can somebody produce an exhaustive list of the different
calling structures which would generate cyclic quarters?

The four compositions are given below. Musical scores of <4-runs> are
given in brackets.


#1 (19)
============
Yeading
Claybrooke
Richmond -
Newcastle -
Glasgow
Chertsey -


#2 (13)
============
Bristol
London
Malpas-
Buckfastleigh
Moulton-
Colnbrooke-


#3 (6)
============
Pudsey
Sonning -
Essex
Whalley -
Willesden
Newlyn -


#4 (8)
============
Sussex -
Caterham
Belfast
Chertsey
Northampton
Chesterfield -
Newcastle -


Can anyone do better, either musically or in terms or elegance? How about
not restricting it to Chandler's methods?

Of course, generating "worthwhile" peal composition of 23-spliced which
contained all 96 <4-runs> of each type would be really great.  I've come
up with one containing 95 that I quite like, but sadly as of yet have not
been able to squeeze in the missing row.