# [r-t] Consecutive pivot bell leads in spliced treble dodging minor extents

John Danaher jsd at alum.mit.edu
Thu Jan 5 00:34:10 UTC 2017

On Mon, Jan 2, 2017 at 4:11 AM <pje24 at cantab.net> wrote:

> "By exhaustive search, the answer on the standard 147 appears to be 8"
>
> Wow, that's super, John. Great.
>
> Quick follow-up question: what's the maximum in a 5-part 720?
>

You can get 5, though it takes four different calls to do it:

123456 (5) London S
s 146235 (5) York S
s 164352 (5) London S
- 123645 (5) Cunecastre S
x 134265 (5) York S
- 134652 (2) York S
z 134562
5-part.
s=1234, x=1256, z=1456

Using fewer than four different calls the most you can get is 3, though you
can accomplish that with only bobs. (This example splits the three
consecutive leads across parts if you want cyclic part-ends, so unless you
rotate the composition one bell's "consecutive" leads will actually be the
first and last leads of the extent.)

123456 (5) Carisbrooke D
164523 (2) Donnotar D
156342 (4) Donnotar D
135264 (6) Carisbrooke D
142635 (3) Donnotar D
- 156423 (3) Westminster S
- 156234 [3]
5-part.

And for something in-between, here's a 1-part extent with 1236 singles that
gives each working bell at least 4 consecutive leads as the pivot:

123456 (2) Oxford TB
- 142356 (2) Coventry D
- 125634 (2) Oxford TB
s 126453 (2) Oxford TB
- 142653 (4) Oxford TB
- 164253 (4) Coventry D
145632 (5) Coventry D
153426 (3) Coventry D
- 132645 (3) Oxford TB
s 136524 (3) Oxford TB
s 135462 (3) Oxford TB
- 143562 (4) Oxford TB
s 145236 (4) Oxford TB
- 124536 (4) Coventry D
- 143652 (4) Oxford TB
- 164352 (6) Oxford TB
s 163245 (6) Oxford TB
s 162534 (6) Oxford TB
s 165423 (6) Oxford TB
- 146523 (6) Coventry D
162435 (2) Coventry D
- 123546 (2) Oxford TB
- 152346 (5) Oxford TB
s 153624 (5) Oxford TB
s 156432 (5) Oxford TB
s 154263 (5) Oxford TB
- 125463 (5) Coventry D
156234 (6) Coventry D
163542 (3) Coventry D
- 134256 (3) Oxford TB
- 123456

s=1236

- John
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