[r-t] Pitman's 13440 change compositions

[Roddy Horton]

PJE -  What's the highest number of methods from Smith's and Chandler's 23-spliced compositions that can be incorporated in one of these 13440s?
RRH - Attached is a file of 41 methods comprising standard 10 plus Smiths plus Chandlers.


For each method there are 7 columns and these represent the leads of the plain course in Group F order.

Each row shows the nature of the row (blank for positive and "-" for negative) and the positions of 1, 7 and 8.

If a lead of a method does not contain a duplicate of a lead of another method (or the same method eg Bristol) then these leads cannot be false against each other in a Bobs only tenors together composition.

The file is comma separated and so can be loaded into Excel in order to move the data around and compare methods against each other. The way I use Excel for this is to extract the leads I want to check and put both leads into the same column and then sort and look for duplicates. Duplicate - FALSE, no duplicate - TRUE.

So it is easy to see that the leads of London where the tenor is 8ths and 7ths place bells do not contain any rows with 1,7,8 in the same position and the same nature of the row as in the lead of Superlative where the tenor is 6ths place bell and so any composition of LSL with bobs only must be true or a whole lead must be repeated.

I have included both Huddersfield and Glasgow for completeness but obviously the result is the same for both.

Enjoy!

Roddy
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