[r-t] 8 bell cyclic callings
Earisp at rsc.org
Mon Aug 20 14:43:42 UTC 2007
"Can somebody produce an exhaustive list of the different calling structures which would generate cyclic quarters?"
Sad as it is to reply to my own messages, I've now set up an Excel spreadsheet to give a (partial) answer to this.
The following is hopefully an exhaustive list of bobs-only callings (with up to four bobs) which puts you into a cyclic course (ie a course which contains the leadhead 13456782, 14567823, 15678234, 16782345, 17823456, 182345678). Callings that put you back in the plain course are also given in brackets as the null-case (rotations deliberately not removed).
The notation is standard:
W - tenor in 7ths place after the call
V - tenor in 5ths place after the call
F - tenor in 4ths place after the call
B - tenor in 3rds place after the call
I - tenor in 2nds place after the call
M - tenor in 6ths place after the call
H - tenor in 8ths place after the call
I've also included the cyclic course which results. The callings marked with an asterisk indicate that the final call immediately brings up the cyclic course-head.
I hope I haven't screwed anything up. I'm sure this is the kind of thing RAS could generate in a couple of seconds for more callings - perhaps he (or someone else) could provide the callings with 5 and 6 bobs?
Anyway, the information is below. Now it just needs something interesting applying it...
WV = 14567823
VF = 17823456
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