[r-t] Extents of doubles

[edward martin]

On 8/4/06, Richard Smith <richard at ex-parrot.com> wrote:

> Using only 17th century technology (i.e. not using a
> computer), how easy would it be to find one of these?  At a
> guess, not very easy; in fact, I find it astonishing that
> Stedman managed to find such an extent (though as it
> definitely is in Campanophile, he, or one of his
> contemporaries, must have).

I believe that Stedman himself discovered the principle 'Crambo'
It is indeed in his book Campanalogia   -     Campanophile ?    :-)
but, more to the point, in the 1702 book Campanalogia Improved, the
figures of Crambo do NOT appear, however, Stedman's Principle does,
buit under the title 'Crambo'' ie the authors of that book were closer
to FS in terms of years and it may well be that his principle
temporarily took on the name of his earlier idea  - just a thought,
but I'm convinced.

Incidentally in Stedman's day there was a form of doggeral called
Crambo (see Tintinnalogia and the poem 'Upon the presentation of
Grandsire Bob to the College Youths'' in which the last word of each
line was supposed to have the same rhyme :
eg
Gentlemen of the Noble Crew
Of Colledge-Youths, there lately blew
A wind, which to my Noddle flew
(upon a day when as it Snew;)
etc

Apparently the word crambo had been undergraduate slang for twice served cabbage

I tried in vain to put myself in FS's shoes and figure out what
percievable logic was behind the principle Crambo  similarly the
principle  'London Pleasure' which occurs first in Tintinnalogia on
page 81 with Campanista's  observation:
"In this Peal called London Pleasure, are Six-score changes, which are
all single. It being a confused Peal to ring, I shall say nothing more
of it, but expose it to view as in the following changes"
then again in Campanalogia on page 100 where FS himself notes:
"This peal in the former printing of it was prickt another way, but I
have here transposed that Course, which in my opinion renders it more
easie and practical"

I think that FS was the author of the original Crambo, the two
versions of London Pleasure and of course of Stedman's Principle.

mew