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</o:shapelayout></xml><![endif]--></head><body lang=EN-GB link=blue vlink=purple><div class=WordSection1><p class=MsoNormal><span style='mso-fareast-language:EN-US'><o:p> </o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-US'>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 <u>only</u> false with negative half-leads with the <u>same</u> 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:<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-US'><o:p> </o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-US'>720 Bacup S Minor (GAAT)<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-US'><o:p> </o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-US'>23456<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-US'>------------------------<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-US'>45236 2s 3s<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-US'>34256 2s 3s Out<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-US'>------------------------<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-US'>3part. s=1236<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-US'><o:p> </o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-US'>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.<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-US'><o:p> </o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-US'> 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.<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-US'><o:p> </o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-US'>Glenn<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-US'><o:p> </o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-US'><o:p> </o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-US'><o:p> </o:p></span></p><div style='border:none;border-top:solid #E1E1E1 1.0pt;padding:3.0pt 0cm 0cm 0cm'><p class=MsoNormal><b><span lang=EN-US>From:</span></b><span lang=EN-US> ringing-theory <ringing-theory-bounces@bellringers.org> <b>On Behalf Of </b>Richard Pullin<br><b>Sent:</b> 06 June 2020 14:10<br><b>To:</b> ringing-theory@bellringers.org<br><b>Subject:</b> <SPAM> [r-t] Singles in TD Minor<o:p></o:p></span></p></div><p class=MsoNormal><o:p> </o:p></p><div><p class=MsoNormal>720s of Spliced TD Minor using singles have been discussed a few times on this list. <o:p></o:p></p><div><p class=MsoNormal>But what about single method 720s?<o:p></o:p></p></div><div><p class=MsoNormal><o:p> </o:p></p></div><div><p class=MsoNormal>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?<o:p></o:p></p></div><div><p class=MsoNormal><o:p> </o:p></p></div><div><p class=MsoNormal>One for St Albans Delight also runs true to Neasden D, Bacup S, Wath D and Carisbrooke D, all from the 147 TD:<o:p></o:p></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Helvetica",sans-serif;color:#333333;background:whitesmoke'><a href="https://complib.org/composition/67178">https://complib.org/composition/67178</a></span> <o:p></o:p></p></div><div><p class=MsoNormal><o:p> </o:p></p></div><div><p class=MsoNormal>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.")<o:p></o:p></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Helvetica",sans-serif;color:#333333;background:whitesmoke'><a href="https://complib.org/composition/67194">https://complib.org/composition/67194</a></span><o:p></o:p></p></div><div><p class=MsoNormal> <span style='font-size:9.0pt;font-family:"Helvetica",sans-serif;color:#333333;background:whitesmoke'><a href="https://complib.org/composition/67195">https://complib.org/composition/67195</a></span><o:p></o:p></p></div><div><p class=MsoNormal><o:p> </o:p></p></div><div><p class=MsoNormal>A 720 of Snowdrop TB also runs true to Earlshetton TB:<o:p></o:p></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Helvetica",sans-serif;color:#333333;background:whitesmoke'><a href="https://complib.org/composition/67182">https://complib.org/composition/67182</a></span> <o:p></o:p></p></div><div><p class=MsoNormal><o:p> </o:p></p></div><div><p class=MsoNormal>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.<o:p></o:p></p></div><div><p class=MsoNormal><o:p> </o:p></p></div><div><p class=MsoNormal>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")<o:p></o:p></p></div><div><p class=MsoNormal><o:p> </o:p></p></div><div><p class=MsoNormal>This makes for 720s that are more interesting, with fewer calls, and gaps between singles:<o:p></o:p></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Helvetica",sans-serif;color:#333333;background:whitesmoke'><a href="https://complib.org/composition/67137">https://complib.org/composition/67137</a></span> <o:p></o:p></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Helvetica",sans-serif;color:#333333;background:whitesmoke'><a href="https://complib.org/composition/67184">https://complib.org/composition/67184</a></span> <o:p></o:p></p></div><div><p class=MsoNormal><o:p> </o:p></p></div><div><p class=MsoNormal>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."<o:p></o:p></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Helvetica",sans-serif;color:#333333;background:whitesmoke'><a href="https://complib.org/composition/67138">https://complib.org/composition/67138</a></span> <o:p></o:p></p></div><div><p class=MsoNormal><o:p> </o:p></p></div><div><p class=MsoNormal>Finally, similar 720s are possible in a much nicer method called Boston D:<o:p></o:p></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Helvetica",sans-serif;color:#333333;background:whitesmoke'><a href="https://complib.org/composition/67196">https://complib.org/composition/67196</a></span> <o:p></o:p></p></div><div><p class=MsoNormal> <span style='font-size:9.0pt;font-family:"Helvetica",sans-serif;color:#333333;background:whitesmoke'><a href="https://complib.org/composition/67197">https://complib.org/composition/67197</a></span><o:p></o:p></p></div><div><p class=MsoNormal><o:p> </o:p></p></div><div><p class=MsoNormal>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.<o:p></o:p></p></div></div></div></body></html>