Every year in December a message arrives in my inbox with a title along the lines of: Dinner Day — got any new methods / compositions? The dinner in question is the Annual Dinner of the OUS, held at the start of February, and the organiser of the St Thomas dinner day peal, and the sender of the email, is Chris Poole. Despite the dangers of Friday-night drinking, over the years the band's ambitions have risen from tenors-together London no.3 to new methods with half-lead calls and cyclic compositions. The band has usually scored and even, I am told, produced first-class performances.
That first email from Chris rapidly develops into a collaboration, with ideas, critiques and compositions thrown back and forth between us. For the 2014 Dinner the thought was to venture some Spliced, so the annealing furnaces were quickly brought up to operating temperature. I have set out the resulting paper-chain of discussions and prototype compositions on this page, because I think it provides an excellent illumination of the composing process, with ideas and requirements introduced and refined, and problems encountered and overcome. The intermediate arrangements are also very good peals, and worth ringing in their own right, even if they didn't meet the final criteria.
Pangaea is 10th's place Precambrian. Small's Friends is the working name for an unrung Surprise Royal method.
Hey Mark,
Hope you are having a good Christmas! This is my customary annual email on the scrounge for some good methods and compositions. Got anything in the stable? We've not rung spliced for a while - got anything interesting?
Ooh yes, good idea, I'm sure some top-quality spliced would be easily available! Which methods? Precambrian, Bristol, Triton?!
Yes, any of the above would be suitable. Probably no more than two unfamiliar methods unless they are pretty straightforward: Bristol, Triton count as standard; Precambrian, Snow Tiger count as 'unfamiliar'; the likes of Phobos / Sgurr a wotsit probably count as straightforward nowadays... Probably no more than 5 methods to make it gettable (unless they are simple, of course). So I guess minimise the number of methods unless you need a particular group to get music / reduce falseness / quick transition.
The last few years, we've had a composition which looks a bit like tenors together (with / without half lead calls, but quick turnaround of nice coursing orders), tittums, finish with cyclic block. Seems to be a good recipe....
This is the composition rung for the Dinner in 2013; method by MBD, composition by CJP:
5040 Precambrian Surprise Royal (No.1)
Composed by Christopher J Poole
23456 M B W H
45236 - -
65432 x - (8 leads)
43652 - -
64352 -
53462 s s
453627089 - -
34562 -
65432 s s
674523908 4 7 (9 leads)
654320987 x1 (8 leads)
452390786 x2 (9 leads)
432098765 x1 (8 leads)
239078564 x2 (9 leads)
209876543 x1 (8 leads)
234567890 1 3 (4 leads)
Calling positions are with respect to the bell in 10th's place at the course end.
The 5040 calling from last year works really well - stuff like this bubbles up quickly.
Yes, that looks very nice indeed.
Only slight reservation - is it too complicated for dinner day? (What do we get out of the mix for 4 methods, eg. binning Sgurr?) [Or if we reduce the COMs?]
And is this put together by pretending to heat and cool some metal?
The first product of the Furnace. Lots of music, but is it too big a challenge?
5120 Spliced TD Royal (No.1)
Composed by Mark B Davies
5 Methods: 1080 Bristol S, Precambrian S; 1040 Sgurr A'Chaorachain S; 1000 Triton D; 920 Yorkshire S. 97 COM, ATW.
234567890 B W H 45236 - - PY.T. 64352 x 2 2 PYYTYYPxS.SPTPSB.T.TPTPSBBS. 53462 S S TSTPT'BSB' 345627089 - 2 PPTT.PPTTSBB.PPSPPT. 65432 S S BSPPTSB'YTSY' 674523908 5 9 BBSSY.BYBB.YTSB 870932546 x3 BSYxSB 534028967 x5 BSPPTxSTT 576982043 x4 PSBBxTP 239078564 x6 TPSBBSxY 209876543 x7 YPYYTYYxBB 234567890 5 11 SPPTS.BBSSYB.YTYYPYY Contains: 320 LB4 132 LB5 25 567890/098765
Let's go to the opposite extreme for the moment and consider four methods with changes of methods only at the calls. This looks easier, but the downside is that some potential music is lost. However, we are still competitive with the single-method peal.
In answer to your final question, yes it is basically simulated annealing, but with a tunnelling algorithm applied when either falseness occurs or it looks like we are stuck in a local minimum. Once we've got the criteria sorted, I'll also apply a genetic algorithm - breeding sometimes squeezes a little extra out!
Interesting that the 4-spliced stands up against the single method, pretty much, bar a few LB5 etc. BTW. I don't think the one with many calls is hard per se... more of a challenge on the Saturday morning after the night before...
So I think what we're after is either 4 or 5 spliced (I'll garner some opinion), somewhere between the 21 and 97 COM; interesting to see how much extra is squeezed out by loosening that parameter (up to around 40-50?).
Making it easier — just four methods, with very few changes of method. We're also now counting "Course4" music (any change with the four tenors coursing AxBxCxD) to make the most of the Tittums position.
5080 Spliced TD Royal (No.1)
Composed by Mark B Davies
4 Methods: 1360 Precambrian S; 1320 Triton D; 1200 Bristol S, Yorkshire S. 21 COM, ATW.
234567890 B W H 45236 - - PPPPPPPP.T. 65432 x - BBBBxPPP.YYYY 64352 - 2 YYYYY.T.BBBBBBBB. 53462 S S YYYYY'T' 345627089 - 2 TTTT.PPPPP.YYYYYYYYY. 65432 S S BBBBBBBBB'YYYY' 798204365 4 7 x10 TTTT.TTT.YYYxTT 452390786 x7 TTTTTTTxBB 576982043 x7 BBBBBBBxPP 456789023 x7 PPPPPPPxTT 354769820 x6 TTTTTTxPP 234567890 6 8 PPPPPP.TT.P Contains: 245 LB4 109 LB5 23 567890/098765 190 Course4
Looking at that now. One problem is that, especially with Sgurr gone, the Triton/Precambrian and Bristol/Yorkshire tend to separate out, so that you have lots of courses with just TP or BY. Looks less elegant.
Here's an example.
I could forcibly remove longer nodes containing TP only to improve this and get a better method mix (with probable loss of some music).
Increasing the COM to a "medium" level:
5160 Spliced TD Royal (No.1)
Composed by Mark B Davies
4 Methods: 1360 Precambrian S; 1280 Triton D, Yorkshire S; 1240 Bristol S. 74 COM, ATW.
234567890 B W H 45236 - - PTTPTTTP.T. 43652 x 2 - BBBYxPPT.YPP.BBBYBB. 64352 - YYTYYTYYP. 53462 S S TY'BBBYBB' 345627089 - 2 PPPT.BBB.TYT. 65432 S S TTPPPTTP'BBBYBB' 890234567 7.11 TYYTYYP.BYBB.BY 654320987 x2 BBxY 452390786 x8 TYYPYYPYxY 576982043 x7 YPYYPYYxTP 456789023 x7 PTTTPPTxTP 354769820 x6 PTTPPTxTP 234567890 6.11 PPTTPP.BBYBB.P Contains: 275 LB4 122 LB5 26 567890/098765 197 Course4
OK, on reflection I think the inelegant thing is having two methods with the same LH order. With 4-spliced it would be better to have a nice balance with two each 2nd's and 10th's LHs, and four different LH orders. Four different backworks would be good too, assuming the difficulty isn't made much higher. Agree with those criteria?
If so then I think the ideal method list would be: Bristol, Triton, Yorkshire, and the 10th's place version of Precambrian (working title Pangaea!). An alternative would be to use another unrung Jennie method such as Small's Friends Surprise -5-4.5-2.3-3478-58-6-7.6-8.9 lh 10 (k1), which would give another naming opportunity without raising the difficulty index.
Here are examples with each of those methods. The methods are clumping together still, but this seems less ugly given they are now all different LH orders. I suspect I can stir them up a bit more with further searches.
Personally, I don't have a strong opinion about the 10ths and 2nds place lead ends... but yes, those criteria look good, and 4 different backworks also good.
New method also good, as it'll give us something to talk sh!te about in the KA for an hour or two. Looking at the lines, could go with either of Pangaea or Small's Friends, so whichever is easier I guess and gives the most music.
Changing the method selection to improve the balance of the composition. Precambrian out, Pangaea in.
5080 Spliced TD Royal (No.2)
Composed by Mark B Davies
4 Methods: 1360 Triton D; 1280 Bristol S; 1240 Yorkshire S; 1200 Pangaea S. 38 COM, ATW.
234567890 B W H 45236 - - TTTPTTT.T. 43652 x 2 - PPTTTTPPPxPT.PPPTTT.T. 64352 - TTPPPT. 53462 S S TTTPTTT'P' 345627089 - 2 PTT.BBB.YYYYYYYYY. 65432 S S BBBBBBBBB'YYYY' 890234567 6.10 TYBYYP.YBBY.YTY 654320987 x3 YTYxBB 678902345 x6 BBBBBBxP 432098765 x4 PTPPxY 239078564 x8 YYYYYYYYxBB 354769820 x7 BBBBBBBxP 234567890 8.10 PPPPPPPP.TT.T Contains: 280 LB4 129 LB5 20 567890/098765 172 Course4
5120 Spliced TD Royal (No.1)
Composed by Mark B Davies
4 Methods: 1320 Small's Friends S, Triton D; 1280 Yorkshire S; 1200 Bristol S. 40 COM, ATW.
234567890 B W H 45236 - - YYYYY.T. 65432 x - YYYYYYYxTTT.T 64352 - - TTSTT.T.BBBBBBBB. 53462 S S TSTTT'BSB' 345627089 - 2 TTTT.BSSB.TYT. 65432 S S SSSSSSSSS'YYYY' 890234567 8.11 SSSSSSSS.YST.YTY 798204365 x3 YTYxTT 452390786 x7 TTTTTTTxBB 658709324 x7 BBBBBBBxSSS 239078564 x4 SSSSxBB (354769820) x7 BBBBBBBx 234567890 5.10 SSYSY.YYTYY.YYYY Contains: 277 LB4 123 LB5 17 567890/098765 183 Course4
Ah yes, here you go - slight loss of music but methods much better distributed (this uses Pangaea). Feels less like two different compositions of 2-spliced patched together! I like the solid sections of Yorkshire, Bristol and Pangaea in the cyclic section, with the Triton to finish. Also all four methods rung in the first course.
Even better stuff may percolate up - I'll keep you posted.
By the way, an x to finish does work, but then the possibilities for the first and last nodes are dramatically reduced. It may be better to look at a longer seed composition, with more calls in the tenors home and Tittums sections, which would then reduce down nicely in the spliced. If you can come up with something I'll stick it in the furnace!
I'll try to put together a slightly longer comp tonight. What do you reckon in order to give more flexibility - another couple of courses? I might engineer out the singles if there's more space too, which'll keep Dr B happy.
How easy is it to get to 0 leads without music? ;-)
Trying to distribute the methods more evenly through the peal.
5120 Spliced TD Royal (No.2)
Composed by Mark B Davies
4 Methods: 1360 Pangaea S; 1280 Yorkshire S; 1240 Bristol S, Triton D. 45 COM, ATW.
234567890 B W H 45236 - - PTPPP.BBBYBB. 43652 x 2 - PPPTTPPPxPT.PPPTTP.T. 64352 - TTTPTPP. 53462 S S TPPPP'BBBYBB' 345627089 - 2 PTT.BBB.YYYYYYYYY. 65432 S S PPPTP'BBBBBBB' 870932546 7.11.x14 YYYYYYY.YBBY.YYYxTP 678902345 x6 TTTTTTxTT 432098765 x5 PTTTPxY 239078564 x8 YYYYYYYYxBB 354769820 x7 BBBBBBBxP 234567890 4.6 PTPP.TT.T Contains: 255 LB4 122 LB5 23 567890/098765 181 Course4
This, I think, adds in another course in the Tittums and hits different LB5 COs (more little-bell Tittums, which seems more apt), and removes the singles. Not sure if will be any better or not, but feel free to put in the furnace...
WH xBW WxH HH BMW MH H MxH [then cyclic section as per other composition]
V. good, new comp works, gives more music. Here's an example. How is that looking for you, especially in terms of COM/ringability?
Not sure 0 Leads-Without-Music is likely, unless we add more music definitions!
A new seed calling is tried.
5120 Spliced TD Royal (No.3)
Composed by Mark B Davies
4 Methods: 1360 Pangaea S; 1320 Triton D; 1240 Bristol S; 1200 Yorkshire S. 45 COM, ATW.
234567890 B M W H 45236 - - YP.T. 43265 x 2 x BBBYxTTT.PPPPP.Tx 32465 2 TYT.PTTTTTTT. (645237089) - - - BBBB.BY.Y. 35426 - - YTPT.TTPTPP. 43526 - YYYYYYYYY. 65432 - x T.BBBBBBBBBx 890234567 7.12 PPPPPPT.YTPTT.BBB 798204365 x2 BBxP 678902345 x6 TTTTPPxP 432098765 x4 PTPPxY 239078564 x8 YYYYYYYYxBB 354769820 x7 BBBBBBBxP 234567890 4.10 PTPP.PPPPPT.YYTYYTY Contains: 280 LB4 131 LB5 16 567890/098765 213 Course4
Ah! This is easy to achieve in fact. It was a bit daft running the searches with music defs that would not pick up cyclic runs like xxxxx56789 etc. Not only was no music was being counted for some of the cyclic leads, but the music wasn't being optimised in these sections, either. So I've changed the music defs to count up the following:
- 567890 runs - front and back, both directions
- 4-runs
- 5-runs
- 6-runs
- 4-course - includes tittums+tenors home with back 4 in AxBxCxD
- 657890 rollups - back ascending only
Here are two examples where every lead contains at least one of those types of music, i.e. LWM=0. Should be able to improve on those with a bit more work. Like the idea though?
I was thinking in the shower this morning that it was slightly suspicious that all the cyclic parts were just one method...
I like these, very much, thanks. Slight preference for the 5000, just because of the length (but that's all...).
Other question - what's the cost in terms of the rest of the music of getting full Tittums in there? (In 62345 in the Bristol, assuming my memory serves me correctly...?)
Belated realisation that a cyclic composition needs 4-runs to be counted... and the consequent achievement of Zero LWM.
5000 Spliced TD Royal (No.1)
Composed by Mark B Davies
4 Methods: 1440 Triton D; 1360 Bristol S; 1280 Pangaea S; 920 Yorkshire S. 48 COM, ATW.
234567890 B M W H 45236 - - PTPTTT.P. (65432) x - BYYxYTPTT. 43265 - x PPPPP.BBBBBBBx 32465 2 PY.PTTPTTP. (645237089) - - - BBBB.BY.Y. 35426 - - YTPP.BBBBBBBBB. 43526 - YYYYYYYYY. 65432 - x T.TPPPPx 890234567 4.9 BBBY.YTPTT.YTY 798204365 x3 YTYxTT 452390786 x6 TTTPTTxBB (432098765) x7 BBBBBBBx 456789023 x3 TYTxP 354769820 x8 PPPPPPPPxTT 234567890 5.7 TTTPP.TT.T Contains: 453 4-runs 189 5-runs 66 6-runs 15 567890/098765 181 Course4 Zero leads without music
5120 Spliced TD Royal (No.4)
Composed by Mark B Davies
4 Methods: 1360 Bristol S; 1320 Triton D; 1240 Pangaea S; 1200 Yorkshire S. 48 COM, ATW.
234567890 B M W H 45236 - - PTPPT.YBBYB. (65432) x - TYYTYYPxYYY. 43265 - x PY.YTPPYx 24365 - BBBBBBBB. 32465 - PTTTTTTP. (645237089) - - - PTT.BB.Y. 35426 - - PPPPPT.TTTPPP. 43526 - BBBBBBBB. 65432 - x T.YYYYYx (890234567) 7.12 PPPPPPT.BBBBB. 798204365 x3 YYYxTT (678902345) x6 TTTTPTx 432098765 x2 TYxBB 456789023 x6 BBBBBBxP 436587092 x5 TTTPTxTP 234567890 3.1 PPP.YYYYYYYY.T Contains: 408 4-runs 173 5-runs 64 6-runs 22 567890/098765 184 Course4 Zero leads without music
OK, here's an early arrangement with Tittums. Note LWM=1 is the lowest discovered so far, but hopefully 0 will be available given more cooling time.
Looks like Tittums appears in the Yorkshire after the Before - occurs at handstroke full lead for any PB method with co 623450987.
Yep, thought Tittums was in the 62345 tittums course. Good that that's in...
Got LWM=0 yet? How long does the algorithm take to run, out of interest?
Hmm, something's wrong. Can't seem to get lower than LWM=1 if Tittums is included. Searches are finding LWM=0 but only if Tittums not present. I can't immediately understand why. Any ideas?
Algorithm can be told to stop whenever you want. Runs are generally around 15 mins - 4 hours with current criteria, although I can see the best comp found so far as it runs. The main tunnelling algorithm I'm using starts off using very fast cooling schedules, basically equivalent to a greedy random walk, to explore the local area. Once it stops finding improved compositions (i.e. is likely stuck in a local minimum) it gradually increases the length of the cooling schedule up to the total time (# steps) you've specified for a full annealing run.
This seems to work well, delivering good results very rapidly, but squeezing more out if you let it run longer - it generally does better than a single annealing run from scratch. Also I am able to time-limit it, pulling the plug after a given number of seconds for example, which is useful when going through the libraries to find the best method for the next spliced stage.
Need to work out what's blocking LWM=0 for Tittums!
Tittums change included - but there is a Lead-Without-Music!
5040 Spliced TD Royal (No.1)
Composed by Mark B Davies
4 Methods: 1320 Bristol S; 1280 Yorkshire S; 1240 Pangaea S; 1200 Triton D. 45 COM, ATW.
234567890 B M W H
45236 - - PTPPP.YBBYB.
(65432) x - TYYTYYPxBBBBB.
43265 - x PPPTTP.Px
32465 2 PY.PTTTTTTT.
(645237089) - - - BBBB.YYYYYY.Y.
35426 - - YBYY.PPTTTT.
43526 - TTTPPTT.
65432 - x T.BBBBBBBBBx
890234567 3.8 BYY.YTPTP.YB
654320987 x2 BYxY
(452390786) x8 YYYYYYYYx
432098765 x6 TPTTPPxBB
456789023 x6 BBBBBBxP
234567890 x8.10.11 PPPPPPPPxYP.TT.T
Contains:
437 4-runs
189 5-runs
64 6-runs
21 567890/098765
178 Course4
1 lead without music
Tittums
Can you see where the LWM(=1) is? Is it in the 62345 course somewhere, which would suggest that any of the leads coming out of the Tittums lead (or ways into it) [given the method constraints / falseness of what's already gone] are duffers?
Don't have that output at the moment, but I've just listed all the splices from the node head 1908574632 and it turns out only one of them includes Tittums whilst keeping all leads within music: YTPTPTT. So that is almost certainly doing the damage - the searches simply aren't managing to find or link that one splice (out of 31 possible) into the composition.
So I've put in place a filter which allows only that choice for the critical node. Searches are now proceeding happily, so there is no reason why we can't have a composition on that plan, although it does push COM up slightly, and maximum music may be reduced. The best results are already looking respectable though - how about this?
COM not a problem - could increase further if you think it'll squeeze goodness out.
What's the iteration process? Throw a few GAs at it, or will it normally settle in the same minimum?
OK, excellent. This is looking like a deep minimum at the moment - not getting anything else close to it, and it is competitive with the best results without Tittums and with LWM>0.
However I will try a few more runs allowing higher COM, and will also run some breeding programmes using the best results from a number of searches as the gene pool. It is also sometimes helpful running a strong greedy search around the locality of the lowest minimum - occasionally finds a nearby candidate which for whatever random reason the annealing process has missed.
I'll let you know if any improvements come out, otherwise I think you are good to go. What's your chances of scoring?!
Solved! Forcing the one splice that includes Tittums with 0 LWM.
5080 Spliced TD Royal (No.3)
Composed by Mark B Davies
4 Methods: 1320 Pangaea S, Yorkshire S; 1280 Triton D; 1160 Bristol S. 46 COM, ATW.
234567890 B M W H
45236 - - YYYYY.YTYBYY.
(65432) x - PPTTPPPPxBBBBB.
43265 - x PPPTTP.Px
32465 2 PY.BBBBBBBB.
(645237089) - - - BYB.YTPTPTT.TTTTTTT.
43526 - 2 YBYY.YYYYY.PPPPT.
65432 - x T.YYYYYx
798204365 4.6.x9 BBBB.PT.YYYxTT
678902345 x6 TTTTPPxP
432098765 x4 PTPPxBB
354769820 x6.x8 BBBBBBxYPxP
234567890 5.12 PTTTP.PTPTPPT.YYYY
Contains:
440 4-runs
180 5-runs
44 6-runs
16 567890/098765
202 Course4
Zero leads without music
Tittums
Chances of scoring - reasonable. Same band as the Precambrian, without that Dr Byrne (Yeo instead).
BTW how do you like this one over the original? It has slightly higher music counts, although the increase in 4-runs is at the expense of fewer 5-runs. Also I suppose it's a long way until you get to any serious amount of Pangaea.
Second comp seems to advocate ringing most of the 63425 course in Bristol. Presumably that's just firing on tenors together music? I half wonder if sticking in an extra course somewhere would give it more freedom to reduce down... can't see anywhere obvious to put in a WHWH or similar though...
I'll stick with the first, unless you can see an obvious place to squeeze in an extra course to see what it does...
A bit more music squeezed out... but a new question raised.
5080 Spliced TD Royal (No.4)
Composed by Mark B Davies
4 Methods: 1360 Triton D; 1320 Bristol S; 1240 Pangaea S; 1160 Yorkshire S. 59 COM, ATW.
234567890 B M W H
45236 - - YYYYY.YTYBYY.
43265 x 2 x YBBxBBYB.PTTTTTTP.Px
32465 2 BBBBBBBB.YYTYYTYYP.
(645237089) - - - BBBB.YTPTPTT.TTTPTT.
43526 - 2 BBBYB.PPTPP.PPPPP.
65432 - x T.TTPPTTx
890234567 3.5 BYY.PT.YB
870932546 x2 BYxTP
678902345 x5 TTTPPxP
432098765 x4 PTPPxBB
35426 x6.x8.10 BBBBBBxYTxYP.PT
234567890 5 PTPPT.YYYY
Contains:
453 4-runs
167 5-runs
52 6-runs
16 567890/098765
217 Course4
Zero leads without music
Tittums
Looking at the PC of Bristol Royal it appears there is a 7890 or 0987 rollup in every lead, which is presumably why "0 LWM" is reasonably easily achieved! It's also why the course from 63425 is OK in Bristol. That course won't score highly compared to others though, so I guess it's only coming up because shorter splices are either (a) false, (b) missed, or (c) have LWM>0.
We could go into 64235 from 26435 instead - would get some more 3456/6543s then. The (longer) calling WH xB W WH H WxBH MWH does the trick. Here's an early example of this. Starting to get higher method-changing complexity in the cyclic section, and there are of course more bobs to call. Fewer 56 rollups too.
Belated realisation that LWM=0 doesn't mean much for tenors-together Bristol Royal. We try another seed calling, to further improve the tenors-together section.
5040 Spliced TD Royal (No.2)
Composed by Mark B Davies
4 Methods: 1320 Pangaea S; 1280 Bristol S, Triton D; 1160 Yorkshire S. 59 COM, ATW.
234567890 B M W H
45236 - - YYYYY.P.
43652 x 2 - BBBBxTTT.YTP.T.
64352 - TPPTPP.
(56342) - YYYYY.
56423 x - BBBxPPPTTPPP.
32465 - - - P.B.YBBYB.
(645237089) - - - BBBB.YTPTPTT.Y.
43526 - 2 YTPP.PPTPP.YBBYBB.
65432 - x T.TTTPPPx
890234567 3.5 BYY.PT.YB
798204365 x2 BYxTT
(678902345) x6 TTTTPTx
432098765 x6 TPTTPPxY
436587092 x5.x7 BBYBBxYTxTP
234567890 3.9 PPP.BBBBBB.YYYY
Contains:
487 4-runs
181 5-runs
54 6-runs
13 567890/098765
208 Course4
Zero leads without music
Tittums
Here's another possibility with the longer calling.
Also there is another shorter calling, MWH H W xB WH, which avoids the 64235 course and achieves fairly good results. May be more by the morning - must to bed now!
I was about to go to bed, but now have some emails to read ;-)
More work on the seed callings.
5080 Spliced TD Royal (No.5)
Composed by Mark B Davies
4 Methods: 1360 Pangaea S; 1320 Bristol S; 1240 Triton D; 1160 Yorkshire S. 60 COM, ATW.
234567890 B M W H
45236 - - YYYYY.P.
43652 x 2 - BBBBxTTT.YTP.P.
64352 - BBBBBBBB.
(56342) - TY.
56423 x - BBBxPPPTTPPP.
32465 - - - P.TYYT.YBBYB.
(645237089) - - - BBBB.YTPTPTT.B.
43526 - 2 YTPP.PPTPP.TYT.
65432 - x T.TPPPPx
890234567 3.5 BYY.PT.YTY
798204365 x2 BYxTT
452390786 x6 TTTTPTxY
432098765 x4 YYYYxBB
456789023 x6 BBBBBBxP
354267890 x4.6 PTPPxYP.PT
23456 5 PTPPP.YYYY
Contains:
479 4-runs
186 5-runs
62 6-runs
16 567890/098765
213 Course4
Zero leads without music
Tittums
5120 Spliced TD Royal (No.5)
Composed by Mark B Davies
4 Methods: 1400 Triton D; 1320 Bristol S; 1200 Pangaea S, Yorkshire S. 58 COM, ATW.
234567890 B M W H
46532 - - 2 P.TYYP.T.BBBBBBBB.
34562 - YT.T
32465 x - - TTTPxYYTYYT.BBBYBB.
(645237089) - - - BYB.YTPTPTT.TTPPT.
35426 - - YTYYTYYP.BBBBBBBBB.
43526 - YYYYYYYYY.
65432 - x T.TPPPTx
798204365 3.5.x8 BYY.PT.YYYxP
678902345 x6 TTTTPTxP
432098765 x4 PTPPxBB
354769820 x6.x8 BBBBBBxYTxP
234567890 8.10 PPPPPPPP.TT.PTTPTTP
Contains:
451 4-runs
176 5-runs
69 6-runs
21 567890/098765
215 Course4
Zero leads without music
Tittums
Overnight realised two things:
- My algorithm has gone slow since LWM included in the score - about 1/4 the speed it should be! Now rectified - LWM calc done efficiently.
- Wondered whether restricting the search space to include ONLY nodes with LWM=0 would be helpful. Smaller search spaces usually good, but with SA not if the landscape has more barriers. Trying it this morning to see.
The best run from last night was this (with the longer calling).
Code optimisations... and the perfect solution?
5000 Spliced TD Royal (No.2)
Composed by Mark B Davies
4 Methods: 1400 Triton D; 1200 Bristol S, Pangaea S, Yorkshire S. 58 COM, ATW.
234567890 B M W H
45236 - - PTPPP.P.
43652 x 2 - TYYTYYPxBBYB.YTP.T.
64352 - TTTTPPP.
(56342) - YYYYY.
56423 x - BBBxTPP.
32465 - - - T.TTPPT.YTPPY.
645237089 - - - BBBB.YTPTPTT.B.YYYY
43526 - 2 YYYY.TY.YTT.
65432 - x T.TPPPTx
654320987 4.9.x12 BBBY.YTPTP.YYYxBB
(452390786) x6 BBBBBBx
432098765 x6 TPTTPPxBB
436587092 x6.x8 BBBBBBxYTxTP
234567890 3.5 PPP.TT.T
Contains:
465 4-runs
188 5-runs
62 6-runs
23 567890/098765
208 Course4
Zero leads without music
Tittums
Here's one with the same longer calling, giving comparable music with lower COM. Not sure how much losing 10 com helps? But quite a nice arrangement.
I think I'll suggest the 5000 to Mounsey - always the risk of Henry barfing in the last few leads!
Wise!
OK, good luck...
Update, February, 2014:
Sadly, the peal was lost... maybe next year!
Another excellent variation, but Chris goes for the shorter length. And we're done.
5080 Spliced TD Royal (No.6)
Composed by Mark B Davies
4 Methods: 1320 Bristol S, Triton D; 1280 Yorkshire S; 1160 Pangaea S. 50 COM, ATW.
234567890 B M W H
45236 - - PTPTTT.T.
(65432) x - PPTTTTPPPxBBBBB.
43652 - - YTT.T.
64352 - TTTTPPP.
(56342) - YYYYY.
56423 x - BBBxYYYYYYY.
32465 - - - P.B.YTPPY.
(645237089) - - - BBBB.YTPTPTT.Y.
43526 - 2 YTYBYYP.YYYYY.YTT.
65432 - x T.TPPPTx
654320987 4.6.x9 BBBY.PP.YYYxBB
678902345 x6 BBBBBBxP
432098765 x4 PTPPxBB
436587092 x6.x8 BBBBBBxYTxTP
234567890 3.5 PPP.TT.T
Contains:
465 4-runs
185 5-runs
63 6-runs
23 567890/098765
213 Course4
Zero leads without music
Tittums