[r-t] Wraps of Rounds

Fielding Ian I.Fielding at rbh.nthames.nhs.uk
Thu Nov 11 09:33:06 UTC 2004

I like them - when they are rung well with accurate leading the effect is
very pleasing on the ear. However, moving the goal posts, I want as many
wraps of rounds as possible.


-----Original Message-----
From: Mark Davies [mailto:mark at snowtiger.net]
Sent: 10 November 2004 19:44
To: ringing-theory at bellringers.net
Subject: [r-t] Wraps of Rounds


> OK - with out false ones, which would exclude having 23456781 and
> 81234567 twice, but can the others not be obtained in a true way?

> eg 76812345 H
>   67821435 B

>    68712345 B
>    67821354 H

Yes, but I don't understand why you'd want these across back/hand. Why not
have all 18 (well, 17) at hand/back?

Don asks,

> What, in fact, is the maximum number of occurances of wraps you
> can get in a peal of (spliced) major?

Given a choice of methods to provide the required range of place notations,
18 wraps are available on eight bells, as mentioned before. This includes
the trivial case of rounds itself. I doubt that there yet exists any peal
composition exploiting them all. A plain course of Rapid Wrap contains about
nine of them if I remember right.

On 2N bells, the number of wraps is 1+f(N)+2[f(1)+...+f(N-1)], where f(x) =
the number of possible place notations on x bells = fibonacci.


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