[r-t] internal runs

[Alexander Holroyd]

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?

Ander

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.
>
> Simon
>
>
>
>
> 1680 (1260) Spliced Major (7m)
>
> Simon J. Gay (based on an idea by David Hull)
>
>              12345678
> ----------------------
> 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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