[r-t] 8 bell cyclic callings

[Philip Earis]

Me:
"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...
 
Two calls
WV = 14567823
VF = 17823456
 
 
Three calls
(WWW 12345678)
(WMB 12345678)
(VVV 12345678)
(VHI 12345678)
(FFF 12345678)
(FIB 12345678)
(BWM 12345678)
(BFI 12345678)
(IVH 12345678)
(IBF 12345678)
(MBW 12345678)
(MMM 12345678)
(HIV 12345678)
(HHH 12345678)*
 
FMH 14567823
BVM 15678234
BBB 17823456*
BMV 15678234*
HBV 15678234*
 
 
Four calls
(WVWV 12345678)
(WHWH 12345678)*
(VWVW 12345678)
(VFBB 12345678)
(FBBV 12345678)
(FMII 12345678)
(BVFB 12345678)
(BBVF 12345678)
(IFMI 12345678)
(IIFM 12345678)
(MIIF 12345678)
(MHMH 12345678)
(HWHW 12345678)
(HMHM 12345678)
 
WWMH 17823456
WVHW 16782345
WFWI 17823456
WFIH 17823456
WBFW 16782345
WBMF 16782345*
WMWM 17823456
WMFI 17823456
WHVH 16782345
WHBF 16782345*
 
VWMI 15678234
VVWW 14567823
VVMB 14567823
VFII 15678234
VBVB 13456782
VMVB 14567823
VHVW 16782345
 
FWVF 14567823
FWBM 16782345
FWHB 16782345
FVIM 17823456
FBHM 16782345
FIWM 17823456
FIFI 17823456
 
BFVW 16782345
BIIM 14567823*
BMHW 17823456
BHFW 16782345
BHMF 16782345*
 
IVII 14567823
IIWI 14567823
IIIH 14567823
IMHV 17823456
 
MWHV 18234567
MVVB 14567823
MFVF 14567823
MFBM 16782345
MFHB 16782345
MBMH 17823456
MHWB 17823456*
MHFF 14567823
MHBH 17823456
MHIB 14567823
 
HWBW 17823456
HWMM 17823456
HVVI 14567823
HVIW 14567823
HFIM 17823456
HBHW 17823456
HIWW 14567823
HIMB 14567823
HHII 14567823

 
 
 
 

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