<div dir="ltr">There is three lead splice between London Surprise and York Surprise :<div><br></div><div>(3 in-course leads) x5xx6 of London <----------> (3 out of course leads) xx56x of York.</div><div><br></div><div>There was a 720 in Composition 500 or 501, I think.</div><div><br></div><div><br></div><div>The same type of splice works with Kent and Oxford Treble Bob, where the methods are 1 lead splices.</div><div><br></div><div>There is also a type of 6 lead splice where 6 leads of Cambridge Minor correspond to 6 Leads of Double Bob Minor and 6 out of course leads of Double Oxford Minor, with the same pivot bell in each.</div><div><br></div><div>Robert Bennett</div><div> <br><div><br></div></div></div><br><div class="gmail_quote"><div dir="ltr" class="gmail_attr">On Sun, Jun 7, 2020 at 10:00 PM <<a href="mailto:ringing-theory-request@bellringers.org">ringing-theory-request@bellringers.org</a>> wrote:<br></div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">Send ringing-theory mailing list submissions to<br>
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Today's Topics:<br>
<br>
1. Singles in TD Minor (Richard Pullin)<br>
2. Re: <SPAM> Singles in TD Minor (<a href="mailto:gaataylor@blueyonder.co.uk" target="_blank">gaataylor@blueyonder.co.uk</a>)<br>
<br>
<br>
----------------------------------------------------------------------<br>
<br>
Message: 1<br>
Date: Sat, 6 Jun 2020 14:10:04 +0100<br>
From: Richard Pullin <<a href="mailto:grandsirerich@googlemail.com" target="_blank">grandsirerich@googlemail.com</a>><br>
To: <a href="mailto:ringing-theory@bellringers.org" target="_blank">ringing-theory@bellringers.org</a><br>
Subject: [r-t] Singles in TD Minor<br>
Message-ID:<br>
<<a href="mailto:CAEmEco9njkA5MsXGUMmPvS-69Ev5kQK7DgWF%2B20hyCAZEz__5Q@mail.gmail.com" target="_blank">CAEmEco9njkA5MsXGUMmPvS-69Ev5kQK7DgWF+20hyCAZEz__5Q@mail.gmail.com</a>><br>
Content-Type: text/plain; charset="utf-8"<br>
<br>
720s of Spliced TD Minor using singles have been discussed a few times on<br>
this list.<br>
But what about single method 720s?<br>
<br>
I've come up with a few this week, but can't find other examples published<br>
elsewhere, despite looking in lots of places. Surely it's been done before?<br>
<br>
One for St Albans Delight also runs true to Neasden D, Bacup S, Wath D and<br>
Carisbrooke D, all from the 147 TD:<br>
<a href="https://complib.org/composition/67178" rel="noreferrer" target="_blank">https://complib.org/composition/67178</a><br>
<br>
Westminster, Allendale and other a-group methods have the potential for<br>
true 720s, but I don't think you can join up all the leads, unless using<br>
two types of single. You could solve the problem in multi-extent blocks,<br>
but that kind of defies the point. 720s in some b-group methods are<br>
possible with 1256 singles, such as Twyning TB (pronounced "twinning.")<br>
<a href="https://complib.org/composition/67194" rel="noreferrer" target="_blank">https://complib.org/composition/67194</a><br>
<a href="https://complib.org/composition/67195" rel="noreferrer" target="_blank">https://complib.org/composition/67195</a><br>
<br>
A 720 of Snowdrop TB also runs true to Earlshetton TB:<br>
<a href="https://complib.org/composition/67182" rel="noreferrer" target="_blank">https://complib.org/composition/67182</a><br>
<br>
So we already have more than 7 methods that could make for quite a nice<br>
peal, and perhaps the first in which all (or any?) of the extents contain<br>
singles.<br>
<br>
To start off - before I realized that these nice methods would work - I<br>
produced a crass new Surprise method specifically for the purpose.<br>
Interestingly, though, here the out-of-course leads work differently as<br>
they're based on pairs of bells ("3-lead splicers"), whereas the above<br>
examples are all based on single pivot bells ("6-lead splicers")<br>
<br>
This makes for 720s that are more interesting, with fewer calls, and gaps<br>
between singles:<br>
<a href="https://complib.org/composition/67137" rel="noreferrer" target="_blank">https://complib.org/composition/67137</a><br>
<a href="https://complib.org/composition/67184" rel="noreferrer" target="_blank">https://complib.org/composition/67184</a><br>
<br>
I found a 5-part 600, and am pretty sure you cannot get a full 5-part 720.<br>
But the 600 is still interesting for being the only example to have "all<br>
the parity work."<br>
<a href="https://complib.org/composition/67138" rel="noreferrer" target="_blank">https://complib.org/composition/67138</a><br>
<br>
Finally, similar 720s are possible in a much nicer method called Boston D:<br>
<a href="https://complib.org/composition/67196" rel="noreferrer" target="_blank">https://complib.org/composition/67196</a><br>
<a href="https://complib.org/composition/67197" rel="noreferrer" target="_blank">https://complib.org/composition/67197</a><br>
<br>
I guess multi-method 720s with singles have a specific use, and the single<br>
method 720s don't really lead anywhere. But I still find the latter<br>
interesting, having never seen other examples and certainly not in familiar<br>
methods from the 147.<br>
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Message: 2<br>
Date: Sat, 6 Jun 2020 17:06:01 +0100<br>
From: <<a href="mailto:gaataylor@blueyonder.co.uk" target="_blank">gaataylor@blueyonder.co.uk</a>><br>
To: <<a href="mailto:ringing-theory@bellringers.org" target="_blank">ringing-theory@bellringers.org</a>><br>
Subject: Re: [r-t] <SPAM> Singles in TD Minor<br>
Message-ID: <00ac01d63c1c$60013110$20039330$@<a href="http://blueyonder.co.uk" rel="noreferrer" target="_blank">blueyonder.co.uk</a>><br>
Content-Type: text/plain; charset="utf-8"<br>
<br>
<br>
<br>
Many moons ago I wrote inter-method falseness software to tabulate the half-leads of a minor method Y that were false when the half-lead 23456 was rung to method X – although I was more focussed on touches of 540+ for quarter peals using “everyday” methods that weren’t normally spliced together rather than looking for 720s in particular. One feature that I remember spotting at the time (around 1998) was that the positive half-leads of Bacup Surprise with a bell fixed in 5ths place are only false with negative half-leads with the same bell in 5ths place. Given that 5ths place bell is the pivot bell in Bacup then it follows that if, say, the tenor only ever rings negative half-leads when it is 5ths place bell then a 720 should be possible. This was achieved as follows:<br>
<br>
<br>
<br>
720 Bacup S Minor (GAAT)<br>
<br>
<br>
<br>
23456<br>
<br>
------------------------<br>
<br>
45236 2s 3s<br>
<br>
34256 2s 3s Out<br>
<br>
------------------------<br>
<br>
3part. s=1236<br>
<br>
<br>
<br>
The same feature was also used for splicing Bacup & Bamborough in a 720 involving singles, and a similar trick for Westminster that also used a lead of Ripley to enable a 2-3-4 shunt in a 3-part. Adjacent to these in my notebook is also a 3-part of spliced Alnwick/Newcastle/Lightfoot/Wearmouth which uses four conventional singles per part, but it doesn’t include a note explaining the underlying method property that made this possible.<br>
<br>
<br>
<br>
I agree with Richard that single method treble-dodging 720s don’t really lead anywhere as they rely on very specific method properties that are unique to the method in question and not generally applicable. Nevertheless, they do have an arcane interest.<br>
<br>
<br>
<br>
Glenn<br>
<br>
<br>
<br>
<br>
<br>
<br>
<br>
From: ringing-theory <<a href="mailto:ringing-theory-bounces@bellringers.org" target="_blank">ringing-theory-bounces@bellringers.org</a>> On Behalf Of Richard Pullin<br>
Sent: 06 June 2020 14:10<br>
To: <a href="mailto:ringing-theory@bellringers.org" target="_blank">ringing-theory@bellringers.org</a><br>
Subject: <SPAM> [r-t] Singles in TD Minor<br>
<br>
<br>
<br>
720s of Spliced TD Minor using singles have been discussed a few times on this list. <br>
<br>
But what about single method 720s?<br>
<br>
<br>
<br>
I've come up with a few this week, but can't find other examples published elsewhere, despite looking in lots of places. Surely it's been done before?<br>
<br>
<br>
<br>
One for St Albans Delight also runs true to Neasden D, Bacup S, Wath D and Carisbrooke D, all from the 147 TD:<br>
<br>
<a href="https://complib.org/composition/67178" rel="noreferrer" target="_blank">https://complib.org/composition/67178</a> <br>
<br>
<br>
<br>
Westminster, Allendale and other a-group methods have the potential for true 720s, but I don't think you can join up all the leads, unless using two types of single. You could solve the problem in multi-extent blocks, but that kind of defies the point. 720s in some b-group methods are possible with 1256 singles, such as Twyning TB (pronounced "twinning.")<br>
<br>
<a href="https://complib.org/composition/67194" rel="noreferrer" target="_blank">https://complib.org/composition/67194</a><br>
<br>
<a href="https://complib.org/composition/67195" rel="noreferrer" target="_blank">https://complib.org/composition/67195</a><br>
<br>
<br>
<br>
A 720 of Snowdrop TB also runs true to Earlshetton TB:<br>
<br>
<a href="https://complib.org/composition/67182" rel="noreferrer" target="_blank">https://complib.org/composition/67182</a> <br>
<br>
<br>
<br>
So we already have more than 7 methods that could make for quite a nice peal, and perhaps the first in which all (or any?) of the extents contain singles.<br>
<br>
<br>
<br>
To start off - before I realized that these nice methods would work - I produced a crass new Surprise method specifically for the purpose. Interestingly, though, here the out-of-course leads work differently as they're based on pairs of bells ("3-lead splicers"), whereas the above examples are all based on single pivot bells ("6-lead splicers")<br>
<br>
<br>
<br>
This makes for 720s that are more interesting, with fewer calls, and gaps between singles:<br>
<br>
<a href="https://complib.org/composition/67137" rel="noreferrer" target="_blank">https://complib.org/composition/67137</a> <br>
<br>
<a href="https://complib.org/composition/67184" rel="noreferrer" target="_blank">https://complib.org/composition/67184</a> <br>
<br>
<br>
<br>
I found a 5-part 600, and am pretty sure you cannot get a full 5-part 720. But the 600 is still interesting for being the only example to have "all the parity work."<br>
<br>
<a href="https://complib.org/composition/67138" rel="noreferrer" target="_blank">https://complib.org/composition/67138</a> <br>
<br>
<br>
<br>
Finally, similar 720s are possible in a much nicer method called Boston D:<br>
<br>
<a href="https://complib.org/composition/67196" rel="noreferrer" target="_blank">https://complib.org/composition/67196</a> <br>
<br>
<a href="https://complib.org/composition/67197" rel="noreferrer" target="_blank">https://complib.org/composition/67197</a><br>
<br>
<br>
<br>
I guess multi-method 720s with singles have a specific use, and the single method 720s don't really lead anywhere. But I still find the latter interesting, having never seen other examples and certainly not in familiar methods from the 147.<br>
<br>
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</blockquote></div>