# [r-t] Infinite Extension

Thu Mar 23 14:15:20 UTC 2017

```Is this example interesting then?

View Smallbrook S12 as an extension of Bristol S Major*, and you can
continue the pattern to any stage divisble by 4. The p.n. for 16 bell
version is:
-5-4.5-5.36.4.9.4.58.9.4.9.70.8.A.8.9T.A.8.A.EB.T-T.A-T-1.LH.1
Here the pivot bells go 2,3,5... but that's only on every other stage so in
a sense it proggresses at half the rate that the classic extension of
Bristol does.

*I've no idea if this is CC compliant but it's clear the methods form a
family.

Cheers,
Alan

On 23 March 2017 at 13:30, Mark Davies <mark at snowtiger.net> wrote:

> Alan writes,
>
> I think he's postulating that there
>> are no examples where the lead head group can't be determined by a simple
>> formula involving stage.
>>
>
> Not quite - I'd be interested in any extension where the lead head order
> isn't constant with respect either to forward or reverse progression
> through the LH group.
>
> So in Robin's examples the LH order increases by two at every stage with
> respect to the forward order, i.e. +1 +3 +5 +7 etc, but since two
> additional working bells are added at each stage, this is in fact constant
> at with respect to the reverse order: by the modulo it's -4 at every stage.
>
> If you could find an extension where the LH order advances by something
> other than 0 or +-2, then there'd be a non-constant relationship. For
> instance, is there an extension series where the pivot bells go 3, 5, 6,
> 7... or 3, 7, E...?
>
> MBD
>
>
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