[r-t] 23-spliced TB major

Fri Apr 30 20:02:07 UTC 2010

I should like to thank Philip for his excellent SCAMP programme which I used extensively in putting the TB peal together. I can't think of a better possible tool for doing this kind of job. If you haven't looked at it it's freely available from his website and extremely intuitive to use.

Peter 

> -----Original Message-----
> From: ringing-theory-bounces at bellringers.net 
> [mailto:ringing-theory-bounces at bellringers.net] On Behalf Of 
> Philip Saddleton
> Sent: 30 April 2010 20:46
> To: ringing-theory at bellringers.net
> Subject: Re: [r-t] 23-spliced TB major
> 
> This is similar to an approach I used in the mid '80s to 
> generate random multi-parts of spliced, although I picked the 
> calling first and then found methods to fit. I had two 
> programs running back to back on a BBC
> micro:
> 
> - the first did a random sort of the possible changes for 
> each row, then a systematic search to find the first method 
> in order with a given lead end, for each of the leads of the 
> peal that had not yet had a method chosen.
> 
> - the second proved the resultant composition, and if there 
> was any falseness determined a minimal set of leads that 
> could be removed leaving the remaining leads mutually true, 
> chosen at random from amongst possible sets.
> 
> Eventually these would converge to a true composition within 
> a few hours. I produced a couple of peals of 67 atw Surprise 
> Major this way when Simon Linford first mooted the idea of 
> ringing this, the first starting from the 45 atw extension of 
> Norman Smith's, and the second from a blank sheet.
> 
> This was also used to generate the "Triples" Surprise Major 
> peal. It is a bit of a sledgehammer approach, as in general 
> there will be only a limited number of e.g. first sections 
> that are true - it is best to find these first. As a quick 
> hack when looking for a composition to build up to the 
> "Triples" I checked only the first two sections to come up 
> with a set that worked before finding 3rd and 4th sections to 
> go with them. 
> Unfortunately for one attempt I forgot to turn them back on. 
> Patrick Brooke discovered this when checking the composition, 
> but we decided to go for the false peal for practice in any case.
> 
> The latest implementation along these lines is SCAMP 
> <http://myweb.tiscali.co.uk/saddleton/software/scamp.htm>. 
> This is much more sophisticated and interactive. Looking at 
> the code I see I have a Randomize function to vary the order 
> in which methods are found, but it doesn't appear to be called.
> 
> Most of the work on the Cambridge Colleges peal was done when 
> the only computing resource I had was the University 
> mainframe: I generated the methods by hand, and had to wait 
> for the operators to collect the output hard-copy after each 
> attempt. There is more on this at 
> <http://myweb.tiscali.co.uk/saddleton/ss8.htm>.
> 
> Philip
> 
> 
> Philip Earis said  on 30/04/2010 15:07:
> > 
> > 
> > I've been thinking a bit more about generating random 
> methods for an 
> > arbitrary peal of 23-spliced.
> > 
> >  
> > 
> > The simplest way to do this seemed to be with excel. In column A, I 
> > just entered the different possible changes for row 1. Cells A2:A13 
> > therefore
> > read:
> > 
> >  
> > 
> > X
> > 
> > 34
> > 
> > 36
> > 
> > 38
> > 
> > 56
> > 
> > 58
> > 
> > 78
> > 
> > 3456
> > 
> > 3478
> > 
> > 3458
> > 
> > 5678
> > 
> > 345678
> > 
> >  
> > 
> > To select one of these at random, I then just enter the 
> formula below.
> > 
> >  
> > 
> > =INDIRECT("A"&RANDBETWEEN(2,13))
> > 
> >  
> > 
> > Columns B onwards are used for subsequent changes in the 
> lead, and the 
> > notation for a lead brought together using the concatenate function.
> > 
> >  
> > 
> > Of course, the danger here is that methods are trivially false, eg 
> > with the same bit of place notation appearing in adjacent 
> changes.  To 
> > screen out these, I ran the methods through Richard Smith's method 
> > filter, which produced just a list of methods with true 
> 7-lead plain courses.
> > 
> >  
> > 
> > The first 23 such methods generated were: * *
> > 
> > *   *
> > 
> > 
> 567.7.5.45.25.256.5.236.2-4.3.2.6.23456.2367.36.23456.36.23.4.234.4.23
> > 6-25.2.6.34567.567-27
> > 
> > 
> > 
> 347.345.3.6.256.567.56.367.47.2.2347.345.6.56.34.2345.36.56.6.345-27.2
> > 347.1.2567.56.27.45.347.34567.3456.4
> > 
> > 
> > 
> 34.36.567.1-27.5.1.4.347.4.2345.4.6-45.2-2.45.2347.34.4.23.7.567.7.67.
> > 345.347.7.456
> > 
> > 
> > 
> 56.345.34567.4.2.7-236.7.27.4.2345.3456.34.234.367.56.236.234.25.347.2
> > 7.34.2367-567.27.6.34567.56.34.67
> > 
> > 
> > 
> 3456.7.345.47.56.25.27.6.2-7.23.6.256.34.567.34.36.2.1.2347-7.367.25.2
> > 567.567.1.34.5.3456.4567
> > 
> > 
> > 
> 3.56.34567.6-567.5.3.347.4.2347.345.56.236.36.2347.36.236.6.23.234.34.
> > 4.36.2567.25.56.6.5.3.567.2
> > 
> > 
> > 
> 345.567.56.1.5.2.56.6.34.27.347.345.6.256.34.27-6.4.45-34.7.6.7.567.25
> > .47.5.34567.36.27
> > 
> > 
> > 
> 34567.567-4567.2.5.7.23.7.47.347.2345.34.3456.34.5.34.4.234.1.234.34.2
> > 7.3.256.5.25.67.34567.567.3.456
> > 
> > 
> > 
> 3-3456.4567.256.27.5.1.4.34.234.25.2.56.3456.3.2.256-25.34.2.47.36.256
> > .567.25.4.345.347-27
> > 
> > 
> > 
> 34.7.34567.45-567.7.1.47.27-23.256.23456.234.3.234.6.23456.2345-47.2.2
> > 3.2567-256.45-7.347.2367
> > 
> > 
> > 
> 3456-567.6.5.27.256.2367.4-347.5.4.2.4.345.36-56.3.234.2.47.36.27.56.5
> > .47.36-36.1
> > 
> > 
> > 
> 3.3456.345.1-25.567.2367.2-34.25.23456.236.4.1.256.234.6.2345-27.47.36
> > 7.2567.2-47.345.3456.7.2347
> > 
> > 
> > 
> -36.34567.6.7.5.56.23.47.4.47.3.6.2.56.345.256.36.234.25.47.4.2347.236
> > .7.27-1-347.34567.6
> > 
> > 
> > 
> 56.345.34567.4567.56.5.27.1.347-2347.25.23456.4.2.5.36.256.236.45.7.27
> > .7.23.2567.2.25.45.567.3.5.67
> > 
> > 
> > 
> 3456.5.3456.47.56.256.567.2367.234.7.2.345.2.3456.236.23.6.23456.36.23
> > .4.27.2347.6-5-47.345.347.345.2367
> > 
> > 
> > 
> -36.345.456.7.5.567.236.4.7.234.3.36.23456.2.347.4.34.36.345.7.47.2.6.
> > 25.567.2567.4.34.5.567.2367
> > 
> > 
> > 
> 36.345.347.6.56.25.27.6.47-4.23.6.2.234.23.3456.23456.234.45.347.4.234
> > .36.2-256.4567.347.34567.7.67
> > 
> > 
> > 
> 34567.5.347.6.256.27.256.3.34.27-25.4-4.23.36.234.3456.45.347.27.2.1.5
> > .27.2567.67.3.3456.7.23
> > 
> > 
> > 
> 347-345.4.2567.56.5.236.2347.47.27.45.34.2.234.45.236.3456-3.4.2.27.36
> > .2567.27.7.1.567.3456.3.6
> > 
> > 
> > 
> 7-36.4567.25.56.2.6.347.47.347.345.6.34.2.34567.34.6.56.23.2347.234-3.
> > 5.7.25.4.3.56.36.4
> > 
> > 
> > 
> 7.34.5.456.256-2.236.4.7.347.5.256.6.56.25.4.6.56.23.27.347.2347.236.2
> > 56.2567.25.45.3456.3-6
> > 
> > 
> > 
> 3.5.34567.4.56.2567.27.36.47.7.47.23.236.56.6.45.56.36.34.3.4-47.23.7.
> > 56.2567.4.5.7.347.6
> > 
> > 
> > 
> 567.36.3456.47.256.27.5.36.234.347-2345.236.234-1-56.3456.1.34.2.34.36
> > .2.2567.25.47.56.3456.347.47
> > 
> > 
> > *   *
> > 
> > I like the complete lack of subjectivity in the method selection in 
> > this approach.
> > 
> > *   *
> > 
> > All that's needed now is a composition...
> > 
> 
> 
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