[r-t] "X above, Y with, Z below"

Richard Weeks richard.weeks at btinternet.com
Wed Aug 2 20:15:33 UTC 2017


To extend the "X above, Y below" scheme, which works, for example, with:

     "everyone rings Cambridge Surprise Major when a nominated reference 
bell is above the treble, and Lincolnshire when it's below"

have the rule, for example:

     "everyone rings Cambridge Surprise Major when a nominated reference 
bell is above the treble, Lessness when it's 'with' the treble, and 
Rutland when it's below"

where being 'with' the treble is defined as both bells being in 1/2 or 
3/4 or 5/6 &c.

This works! In this instance it gives a true plain course of 1152 
changes. With the 2nd as reference bell it looks like this:

1152 (= 36*32) {Cambridge,Lessness,Rutland}
https://complib.org/method/32303?accessKey=d2cd2f20c0c1cbaa8346112e35b23a37b6e4a28a

Other, perhaps less expected combinations work, too:

1152 (= 36*32) {Yorkshire,London,London}
https://complib.org/method/32304?accessKey=24a410a978d5d7f295d912163b1aad6f4ab63b0d

And there's quite a fine gradation in plain-course length. For example:

1120 (= 35*32) {Rutland,Superlative,Superlative}
https://complib.org/method/32306?accessKey=5893962c2eee15f2c5e14e26de20038a484ef46a

This {X,Y,Z} scheme seems to offer more valid possibilities than the 
simpler {X,Y} scheme: perhaps that's obvious, or at least likely. 
Anyway, here's one more example:

640 (= 20*32) {Glasgow,Belfast,London}
https://complib.org/method/32305?accessKey=f425e63c3ec7235f059d18863589bf6fa3ca38df



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