[r-t] internal runs
holroyd at math.ubc.ca
Thu Jan 24 21:50:56 UTC 2013
Both of these look very impressive - thanks for sharing!
Perhaps this is a suitable time for the following challenge (one that I
first considered about 20 years ago)! Find a normal length peal
composition of major containing all the rows that contain a 4-bell run
(back, front *or internal*).
There are 1002 such rows (if my use of the inclusion-exculsion principle
is correct). Can it be done in a way that anyone would want to ring?
On Thu, 24 Jan 2013, Simon Gay wrote:
> Here's the quarter peal composition (of Major) that David referred to. It has
> 400 runs of 4 or more bells at the front or back, which I think is pretty
> good in a quarter peal length.
> The quarter contains several Little methods, so alternate parts have the
> treble hunting from the back and not reaching the front. Actually, as far as
> I remember, when David first described his peal plan it also had this
> feature, but now he is using Alliance methods rather than Little methods to
> get the desired length.
> 1680 (1260) Spliced Major (7m)
> Simon J. Gay (based on an idea by David Hull)
> Norwich LS - 14235678
> Norwich LS - 13425678
> Norwich LS 12364857
> Oxford DLB 13286745
> Norwich LS - 18326745
> Norwich LS - 12836745
> Norwich LS s 12378564
> Bastow s 12753486
> Original 25147638
> Original 54261873
> Original 46582317
> Original s 68435271
> Rev Bastow 83624751
> Rev Bastow 32876541
> 14 part
> - = 14
> s = 1238 in Norwich LS, 1678 in Original
> In even-numbered parts, replace every method by its reverse and
> swap bobs and singles between the front and the back. Original remains
> the same method but its single becomes 1238.
> Contains 400 runs of 4 consecutive bells at the front or back.
> For 1260 replace 35 leads of Norwich by Bastow.
> To avoid losing runs, replace Norwich by Bastow
> in the following places.
> 2a and 2b mean the first and second blocks of
> 3 leads of Norwich in part 2, and so on.
> Keep 1 of the 36 leads as Norwich.
> Blocks: 2a,2b,3b,5a,6a,6b,9a,9b,10b,12a,13a,13b
> Unnamed methods:
> Norwich Little Surprise:
> -34-14-12-14 le 18 14263857
> Reverse Norwich Little Surprise:
> -56-58-78-58 le 18 24163758
> Oxford Differential Little Bob:
> -1234 le 18 13264857
> Reverse Oxford Differential Little Bob:
> -5678 le 18 24153768
> Reverse Bastow Little Bob:
> -78 le 18 24163758
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