This appears in Tintinnalogia (1668) and, as "London Paradox", in Campanalogia (1677). Nowadays, Paradox is listed as a principle, with each bell doing the same work. It is similar to Tendring, with 4 blows made in the lead, but with dodging in 2-3 and places in 4-5, as opposed to places in 2-3 and dodging in 4-5. The plain course, as given, is almost that, but with altered work when the treble is leading. Then there is a call (an Extreme) as well as that, also having effect when the treble is leading. In the 120 given, the 2nd is the half-hunt bell, doing the same work in each of the three parts. The Extreme is made every 40 changes.
This makes Paradox quite tricky to ring; it would have been much easier to get a 120 in the same way as that of Tendring, with Bobs having place notation replacing place notation 5. However the author appears quite proud of that odd final bit of each course, while the treble is leading, pointing out that the other 4 bells ring "Doubles and Singles on Four Bells" (i.e. Plain Bob Minimus), over the course of the six times the treble leads. The half-hunt (2nd) in the Paradox is the 'treble' in the Plain Bob Minimus and the Extremes in the Paradox correspond to each of the lead ends of the Plain Bob.
Publications - click on each image for a larger version:
Tintinnalogia (1668)
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Campanalogia (1677)
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