Campanalogia : $b or The art of ringing improved : with plain and easie rules to guide the practitioner in the ringing all kinds of changes, to which is added, great variety of new peals.Stedman, Fabian
Science
Campanalogia : $b or The art of ringing improved : with plain and easie rules to guide the practitioner in the ringing all kinds of changes, to which is added, great variety of new peals.
Stedman, Fabian
Bells; Change ringing
│123
│213
│———
│132
│312
│———
│231
│321
│———
_Four_ will make four times as many changes as _three_. For there are
four times three figures to be had out of four, and not twice three the
same figures, which are to be produced by casting away each of the four
figures by turns. First cast away 4, and 123 will remain; cast away 3,
and 124 will remain; cast away 2, and 134 will remain; and lastly,
casting away 1, and 234 will remain; so that here is 123, 124, 134, 234,
and not twice three the same figures. Now each three may be varied six
ways, according to the preceding Example. Then to the six changes which
each three makes, add the fourth figure which is wanting; as to the six
changes on 123 add the 4, to the six changes on 124 add the 3, to the
six changes on 134 add the 2, and to the six changes on 234 add the 1,
which renders the changes compleat; for then the four figures stand
twenty four times together, and not twice alike, as here appears.
│1234
│2134
│————
│1324
│3124
│————
│2314
│3214
│————
│1243
│2143
│————
│1423
│4123
│————
│2413
│4213
│————
│1342
│3142
│————
│1432
│4132
│————
│3412
│4312
│————
│2341
│3241
│————
│2431
│4231
│————
│3421
│4321
Public-domain text, read in full here on John Shaqi.
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