From andrew_johnson2001 at yahoo.com  Mon Feb  5 14:30:56 2024
From: andrew_johnson2001 at yahoo.com (Andrew Johnson)
Date: Mon, 5 Feb 2024 14:30:56 +0000 (UTC)
Subject: [r-t] Fw: Stedman linkages
In-Reply-To: <1190398853.5297433.1707143149849@mail.yahoo.com>
References: <1190398853.5297433.1707143149849.ref@mail.yahoo.com>
 <1190398853.5297433.1707143149849@mail.yahoo.com>
Message-ID: <978277095.5304227.1707143456717@mail.yahoo.com>

 

   ----- Forwarded Message ----- From: Andrew Johnson <andrew_johnson2001 at yahoo.com>To: ringingtheory at bellringers.org <ringingtheory at bellringers.org>Sent: Monday, February 5, 2024 at 02:25:49 PM GMTSubject: Stedman linkages
 It's time to explain how some odd even linkages work, allowing bobs-only peals.The important part of a odd even linkage is that they contain the same rows.
Just arfter the exact two-part Philip Saddleton explained the linkage allowing the two part..
I also remembered the 7-part arrangment of blocks from 1999 which didn't lead to a peal.I then tried to see what arrangement of sixes made this possible.
This ended up as? a 7/2 linkage where the same rows were used for each, so it they occurred anywhere the parity could be adjusted.
By doiing a search for blocks with say a 7 part end the parity of the number? of blocks could be adjusted by switching between the blocks.

Andrew Johnson
  
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From andrew_johnson2001 at yahoo.com  Mon Feb  5 14:57:30 2024
From: andrew_johnson2001 at yahoo.com (Andrew Johnson)
Date: Mon, 5 Feb 2024 14:57:30 +0000 (UTC)
Subject: [r-t] Stedman linkages
In-Reply-To: <1719502556.5308671.1707143621356@mail.yahoo.com>
References: <1190398853.5297433.1707143149849.ref@mail.yahoo.com>
 <1190398853.5297433.1707143149849@mail.yahoo.com>
 <978277095.5304227.1707143456717@mail.yahoo.com>
 <1719502556.5308671.1707143621356@mail.yahoo.com>
Message-ID: <478945768.5319632.1707145050862@mail.yahoo.com>

 To generate the linkages we could do a random search by it is smalll enough to a a systematic one.
go forward one or two sixes, then go back one or two sixes.Then change direction and go forward, etc. Perhaps we we meet out starting point , which is good.This nakes a sort of crown
If we meet a starting point and the forward and back sixes don't match, choose a backwards six, choose variation with different from bells and continue


These are some examples of linkakages:The 1: is one sort the 2: is the other sort containing the same changes


1: 4235671QSP*1(1)4213567SQ-P*1(1)4273651SQ--*1(1)2314567QSPP*1(1)2374651QSPP*1(1)
2: 4235671QS-*1(1)4213567SQPP*1(1)4273651SQP-*1(1)2314567QS--*1(1)2374651QS--*1(1)
1: 4213756SQP-*1(1)4213675SQP*1(1)4273651SQ--*1(1)2314567QSPP*1(1)2374651QSPP*1(1)
2: 4213756SQ-*1(1)4213675SQ-P*1(1)4273651SQPP*1(1)2314567QS--*1(1)2374651QS--*1(1)
1: 4213567QS-P*1(1)4273651QS--*1(1)2345671SQP*1(1)2314567QSPP*1(1)2374651QSPP*1(1)
2: 4213567QSPP*1(1)4273651QSP-*1(1)2345671SQ-*1(1)2314567QS--*1(1)2374651QS--*1(1)
1: 4213756QSP-*1(1)4213675QSP*1(1)4273651QS--*1(1)2314567QSPP*1(1)2374651QSPP*1(1)
2: 4213756QS-*1(1)4213675QS-P*1(1)4273651QSPP*1(1)2314567QS--*1(1)2374651QS--*1(1)
1: 3412567QS-P*1(1)3472651QS--*1(1)4235671SQP*1(1)2314567QSPP*1(1)2374651QSPP*1(1)
2: 3412567QSPP*1(1)3472651QSP-*1(1)4235671SQ-*1(1)2314567QS--*1(1)2374651QS--*1(1)
1: 3412756QSP-*1(1)3412675QSP*1(1)3472651QS--*1(1)2314567QSPP*1(1)2374651QSPP*1(1)
2: 3412756QS-*1(1)3412675QS-P*1(1)3472651QSPP*1(1)2314567QS--*1(1)2374651QS--*1(1)
1: 4213675SQPP*1(1)4253761SQPP*1(1)2314567QSP-*1(1)2314756QSP*1(1)2354761QS--*1(1)
2: 4213675SQ--*1(1)4253761SQ--*1(1)2314567QS-*1(1)2314756QS-P*1(1)2354761QSPP*1(1)
1: 1263547SQPP*1(1)1273456SQPP*1(1)2314567QSP*1(1)2361547SQ--*1(1)2371456SQ-P*1(1)
2: 1263547SQ--*1(1)1273456SQ--*1(1)2314567QS-*1(1)2361547SQP-*1(1)2371456SQPP*1(1)
1: 3162547SQPP*1(1)3172456SQPP*1(1)2314567QSP*1(1)2361547SQ--*1(1)2371456SQ-P*1(1)
2: 3162547SQ--*1(1)3172456SQ--*1(1)2314567QS-*1(1)2361547SQP-*1(1)2371456SQPP*1(1)
1: 4213567SQPP*1(1)4273651SQPP*1(1)2314567QS-P*1(1)2374651QS--*1(1)3425671SQP*1(1)
2: 4213567SQ--*1(1)4273651SQ--*1(1)2314567QSPP*1(1)2374651QSP-*1(1)3425671SQ-*1(1)
1: 4213756SQP-*1(1)4213675SQP*1(1)4273651SQ--*1(1)2314567SQPP*1(1)2374651SQPP*1(1)
2: 4213756SQ-*1(1)4213675SQ-P*1(1)4273651SQPP*1(1)2314567SQ--*1(1)2374651SQ--*1(1)
1: 3412756SQP-*1(1)3412675SQP*1(1)3472651SQ--*1(1)2314567SQPP*1(1)2374651SQPP*1(1)
2: 3412756SQ-*1(1)3412675SQ-P*1(1)3472651SQPP*1(1)2314567SQ--*1(1)2374651SQ--*1(1)
1: 4253617SQ-P*1(1)4253176SQ-*1(1)4213675SQPP*1(1)2314567QSPP*1(1)2314756QSP*1(1)2354761QS--*1(1)3426751SQP*1(1)
2: 4253617SQP*1(1)4253176SQP-*1(1)4213675SQ--*1(1)2314567QS-*1(1)2314756QS-P*1(1)2354761QSP-*1(1)3426751SQ-*1(1)
1: 4237615QS-*1(1)4213675SQP-*1(1)4253761SQPP*1(1)2314567QSPP*1(1)2314756QSP*1(1)2354761QS--*1(1)3426751SQP*1(1)
2: 4237615QSP*1(1)4213675SQ--*1(1)4253761SQ-P*1(1)2314567QS-*1(1)2314756QS-P*1(1)2354761QSP-*1(1)3426751SQ-*1(1)
1: 4253617QS-P*1(1)4253176QS-*1(1)4213675QSPP*1(1)2314567QSPP*1(1)2314756QSP*1(1)2354761QS--*1(1)3426751SQP*1(1)
2: 4253617QSP*1(1)4253176QSP-*1(1)4213675QS--*1(1)2314567QS-*1(1)2314756QS-P*1(1)2354761QSP-*1(1)3426751SQ-*1(1)
1: 4213675QSP-*1(1)4253761QSPP*1(1)2347615SQ-*1(1)2314567QSPP*1(1)2314756QSP*1(1)2354761QS--*1(1)3426751SQP*1(1)
2: 4213675QS--*1(1)4253761QS-P*1(1)2347615SQP*1(1)2314567QS-*1(1)2314756QS-P*1(1)2354761QSP-*1(1)3426751SQ-*1(1)
1: 3427615QS-*1(1)3412675SQP-*1(1)3452761SQPP*1(1)2314567QSPP*1(1)2314756QSP*1(1)2354761QS--*1(1)3426751SQP*1(1)
2: 3427615QSP*1(1)3412675SQ--*1(1)3452761SQ-P*1(1)2314567QS-*1(1)2314756QS-P*1(1)2354761QSP-*1(1)3426751SQ-*1(1)
1: 3452617QS-P*1(1)3452176QS-*1(1)3412675QSPP*1(1)2314567QSPP*1(1)2314756QSP*1(1)2354761QS--*1(1)3426751SQP*1(1)
2: 3452617QSP*1(1)3452176QSP-*1(1)3412675QS--*1(1)2314567QS-*1(1)2314756QS-P*1(1)2354761QSP-*1(1)3426751SQ-*1(1)
1: 3412675QSP-*1(1)3452761QSPP*1(1)4237615SQ-*1(1)2314567QSPP*1(1)2314756QSP*1(1)2354761QS--*1(1)3426751SQP*1(1)
2: 3412675QS--*1(1)3452761QS-P*1(1)4237615SQP*1(1)2314567QS-*1(1)2314756QS-P*1(1)2354761QSP-*1(1)3426751SQ-*1(1)
1: 2354617SQ-P*1(1)2354176SQ-*1(1)2314675SQPP*1(1)2314567QSPP*1(1)2314756QSP*1(1)2354761QS--*1(1)3426751SQP*1(1)
2: 2354617SQP*1(1)2354176SQP-*1(1)2314675SQ--*1(1)2314567QS-*1(1)2314756QS-P*1(1)2354761QSP-*1(1)3426751SQ-*1(1)
1: 4253617SQ-P*1(1)4253176SQ-*1(1)4213675SQPP*1(1)2314567QSP-*1(1)2314756QSP*1(1)2354761QS-P*1(1)3427615SQP*1(1)
2: 4253617SQP*1(1)4253176SQP-*1(1)4213675SQ--*1(1)2314567QS-*1(1)2314756QS--*1(1)2354761QSPP*1(1)3427615SQ-*1(1)
1: 4236751QS-*1(1)4213675SQPP*1(1)4253761SQP-*1(1)2314567QSP-*1(1)2314756QSP*1(1)2354761QS-P*1(1)3427615SQP*1(1)
2: 4236751QSP*1(1)4213675SQ-P*1(1)4253761SQ--*1(1)2314567QS-*1(1)2314756QS--*1(1)2354761QSPP*1(1)3427615SQ-*1(1)
1: 4253617QS-P*1(1)4253176QS-*1(1)4213675QSPP*1(1)2314567QSP-*1(1)2314756QSP*1(1)2354761QS-P*1(1)3427615SQP*1(1)
2: 4253617QSP*1(1)4253176QSP-*1(1)4213675QS--*1(1)2314567QS-*1(1)2314756QS--*1(1)2354761QSPP*1(1)3427615SQ-*1(1)
1: 4213675QSPP*1(1)4253761QSP-*1(1)2346751SQ-*1(1)2314567QSP-*1(1)2314756QSP*1(1)2354761QS-P*1(1)3427615SQP*1(1)
2: 4213675QS-P*1(1)4253761QS--*1(1)2346751SQP*1(1)2314567QS-*1(1)2314756QS--*1(1)2354761QSPP*1(1)3427615SQ-*1(1)
1: 3426751QS-*1(1)3412675SQPP*1(1)3452761SQP-*1(1)2314567QSP-*1(1)2314756QSP*1(1)2354761QS-P*1(1)3427615SQP*1(1)
2: 3426751QSP*1(1)3412675SQ-P*1(1)3452761SQ--*1(1)2314567QS-*1(1)2314756QS--*1(1)2354761QSPP*1(1)3427615SQ-*1(1)
1: 3452617QS-P*1(1)3452176QS-*1(1)3412675QSPP*1(1)2314567QSP-*1(1)2314756QSP*1(1)2354761QS-P*1(1)3427615SQP*1(1)
2: 3452617QSP*1(1)3452176QSP-*1(1)3412675QS--*1(1)2314567QS-*1(1)2314756QS--*1(1)2354761QSPP*1(1)3427615SQ-*1(1)
1: 3412675QSPP*1(1)3452761QSP-*1(1)4236751SQ-*1(1)2314567QSP-*1(1)2314756QSP*1(1)2354761QS-P*1(1)3427615SQP*1(1)
2: 3412675QS-P*1(1)3452761QS--*1(1)4236751SQP*1(1)2314567QS-*1(1)2314756QS--*1(1)2354761QSPP*1(1)3427615SQ-*1(1)
1: 2354617SQ-P*1(1)2354176SQ-*1(1)2314675SQPP*1(1)2314567QSP-*1(1)2314756QSP*1(1)2354761QS-P*1(1)3427615SQP*1(1)
2: 2354617SQP*1(1)2354176SQP-*1(1)2314675SQ--*1(1)2314567QS-*1(1)2314756QS--*1(1)2354761QSPP*1(1)3427615SQ-*1(1)
1: 4236751QS-*1(1)4213675SQPP*1(1)4253761SQP-*1(1)2314567QSP-*1(1)2354617QSP*1(1)2354176QSP-*1(1)2314756QSP*1(1)
2: 4236751QSP*1(1)4213675SQ-P*1(1)4253761SQ--*1(1)2314567QS-*1(1)2354617QS-P*1(1)2354176QS-*1(1)2314756QS-P*1(1)
1: 4213675QSPP*1(1)4253761QSP-*1(1)2346751SQ-*1(1)2314567QSP-*1(1)2354617QSP*1(1)2354176QSP-*1(1)2314756QSP*1(1)
2: 4213675QS-P*1(1)4253761QS--*1(1)2346751SQP*1(1)2314567QS-*1(1)2354617QS-P*1(1)2354176QS-*1(1)2314756QS-P*1(1)
1: 3412675QSPP*1(1)3452761QSP-*1(1)4236751SQ-*1(1)2314567QSP-*1(1)2354617QSP*1(1)2354176QSP-*1(1)2314756QSP*1(1)
2: 3412675QS-P*1(1)3452761QS--*1(1)4236751SQP*1(1)2314567QS-*1(1)2354617QS-P*1(1)2354176QS-*1(1)2314756QS-P*1(1)
1: 2346751QS-*1(1)2314675SQPP*1(1)2354761SQP-*1(1)2314567QSP-*1(1)2354617QSP*1(1)2354176QSP-*1(1)2314756QSP*1(1)
2: 2346751QSP*1(1)2314675SQ-P*1(1)2354761SQ--*1(1)2314567QS-*1(1)2354617QS-P*1(1)2354176QS-*1(1)2314756QS-P*1(1)
1: 1273456SQPP*1(1)1263475SQ-P*1(1)1263754SQ-*1(1)2314567QSP*1(1)2315476QSP*1(1)2361547SQ-P*1(1)2371456SQ-P*1(1)
2: 1273456SQ--*1(1)1263475SQP*1(1)1263754SQP-*1(1)2314567QS-*1(1)2315476QS-*1(1)2361547SQP-*1(1)2371456SQP-*1(1)
1: 1273456QSPP*1(1)1263475QS-P*1(1)1263754QS-*1(1)2314567QSP*1(1)2315476QSP*1(1)2361547SQ-P*1(1)2371456SQ-P*1(1)
2: 1273456QS--*1(1)1263475QSP*1(1)1263754QSP-*1(1)2314567QS-*1(1)2315476QS-*1(1)2361547SQP-*1(1)2371456SQP-*1(1)
1: 3172456SQPP*1(1)3162475SQ-P*1(1)3162754SQ-*1(1)2314567QSP*1(1)2315476QSP*1(1)2361547SQ-P*1(1)2371456SQ-P*1(1)
2: 3172456SQ--*1(1)3162475SQP*1(1)3162754SQP-*1(1)2314567QS-*1(1)2315476QS-*1(1)2361547SQP-*1(1)2371456SQP-*1(1)
1: 3172456QSPP*1(1)3162475QS-P*1(1)3162754QS-*1(1)2314567QSP*1(1)2315476QSP*1(1)2361547SQ-P*1(1)2371456SQ-P*1(1)
2: 3172456QS--*1(1)3162475QSP*1(1)3162754QSP-*1(1)2314567QS-*1(1)2315476QS-*1(1)2361547SQP-*1(1)2371456SQP-*1(1)
1: 2371456QSPP*1(1)2361475QS-P*1(1)2361754QS-*1(1)2314567QSP*1(1)2361547SQ--*1(1)2371645SQPP*1(1)2371564SQP*1(1)
2: 2371456QS--*1(1)2361475QSP*1(1)2361754QSP-*1(1)2314567QS-*1(1)2361547SQP-*1(1)2371645SQ-*1(1)2371564SQ-P*1(1)
1: 1273456SQPP*1(1)1263475SQ-P*1(1)1263754SQ-*1(1)2314567QSP*1(1)2361547SQ--*1(1)2371645SQPP*1(1)2371564SQP*1(1)
2: 1273456SQ--*1(1)1263475SQP*1(1)1263754SQP-*1(1)2314567QS-*1(1)2361547SQP-*1(1)2371645SQ-*1(1)2371564SQ-P*1(1)
1: 1235476QS-*1(1)1263547SQPP*1(1)1273456SQP-*1(1)2314567QSP*1(1)2361547SQ--*1(1)2371645SQPP*1(1)2371564SQP*1(1)
2: 1235476QSP*1(1)1263547SQ-P*1(1)1273456SQ--*1(1)2314567QS-*1(1)2361547SQP-*1(1)2371645SQ-*1(1)2371564SQ-P*1(1)
1: 1263547QSPP*1(1)1273456QSP-*1(1)2315476SQ-*1(1)2314567QSP*1(1)2361547SQ--*1(1)2371645SQPP*1(1)2371564SQP*1(1)
2: 1263547QS-P*1(1)1273456QS--*1(1)2315476SQP*1(1)2314567QS-*1(1)2361547SQP-*1(1)2371645SQ-*1(1)2371564SQ-P*1(1)
1: 3172456SQPP*1(1)3162475SQ-P*1(1)3162754SQ-*1(1)2314567QSP*1(1)2361547SQ--*1(1)2371645SQPP*1(1)2371564SQP*1(1)
2: 3172456SQ--*1(1)3162475SQP*1(1)3162754SQP-*1(1)2314567QS-*1(1)2361547SQP-*1(1)2371645SQ-*1(1)2371564SQ-P*1(1)
1: 3125476QS-*1(1)3162547SQPP*1(1)3172456SQP-*1(1)2314567QSP*1(1)2361547SQ--*1(1)2371645SQPP*1(1)2371564SQP*1(1)
2: 3125476QSP*1(1)3162547SQ-P*1(1)3172456SQ--*1(1)2314567QS-*1(1)2361547SQP-*1(1)2371645SQ-*1(1)2371564SQ-P*1(1)
1: 3172456QSPP*1(1)3162475QS-P*1(1)3162754QS-*1(1)2314567QSP*1(1)2361547SQ--*1(1)2371645SQPP*1(1)2371564SQP*1(1)
2: 3172456QS--*1(1)3162475QSP*1(1)3162754QSP-*1(1)2314567QS-*1(1)2361547SQP-*1(1)2371645SQ-*1(1)2371564SQ-P*1(1)
1: 3162547QSPP*1(1)3172456QSP-*1(1)1235476SQ-*1(1)2314567QSP*1(1)2361547SQ--*1(1)2371645SQPP*1(1)2371564SQP*1(1)
2: 3162547QS-P*1(1)3172456QS--*1(1)1235476SQP*1(1)2314567QS-*1(1)2361547SQP-*1(1)2371645SQ-*1(1)2371564SQ-P*1(1)
1: 2361547QSPP*1(1)2371645QS-*1(1)2371564QS-P*1(1)2314567QSP*1(1)2371456SQ-P*1(1)2361475SQP*1(1)2361754SQP-*1(1)
2: 2361547QS--*1(1)2371645QSP-*1(1)2371564QSP*1(1)2314567QS-*1(1)2371456SQPP*1(1)2361475SQ--*1(1)2361754SQ-*1(1)
1: 1263547SQPP*1(1)1273645SQ-*1(1)1273564SQ-P*1(1)2314567QSP*1(1)2371456SQ-P*1(1)2361475SQP*1(1)2361754SQP-*1(1)
2: 1263547SQ--*1(1)1273645SQP-*1(1)1273564SQP*1(1)2314567QS-*1(1)2371456SQPP*1(1)2361475SQ--*1(1)2361754SQ-*1(1)
1: 1235476QS-*1(1)1263547SQPP*1(1)1273456SQP-*1(1)2314567QSP*1(1)2371456SQ-P*1(1)2361475SQP*1(1)2361754SQP-*1(1)
2: 1235476QSP*1(1)1263547SQ-P*1(1)1273456SQ--*1(1)2314567QS-*1(1)2371456SQPP*1(1)2361475SQ--*1(1)2361754SQ-*1(1)
1: 1263547QSPP*1(1)1273456QSP-*1(1)2315476SQ-*1(1)2314567QSP*1(1)2371456SQ-P*1(1)2361475SQP*1(1)2361754SQP-*1(1)
2: 1263547QS-P*1(1)1273456QS--*1(1)2315476SQP*1(1)2314567QS-*1(1)2371456SQPP*1(1)2361475SQ--*1(1)2361754SQ-*1(1)
1: 3162547SQPP*1(1)3172645SQ-*1(1)3172564SQ-P*1(1)2314567QSP*1(1)2371456SQ-P*1(1)2361475SQP*1(1)2361754SQP-*1(1)
2: 3162547SQ--*1(1)3172645SQP-*1(1)3172564SQP*1(1)2314567QS-*1(1)2371456SQPP*1(1)2361475SQ--*1(1)2361754SQ-*1(1)
1: 3125476QS-*1(1)3162547SQPP*1(1)3172456SQP-*1(1)2314567QSP*1(1)2371456SQ-P*1(1)2361475SQP*1(1)2361754SQP-*1(1)
2: 3125476QSP*1(1)3162547SQ-P*1(1)3172456SQ--*1(1)2314567QS-*1(1)2371456SQPP*1(1)2361475SQ--*1(1)2361754SQ-*1(1)
1: 3162547QSPP*1(1)3172645QS-*1(1)3172564QS-P*1(1)2314567QSP*1(1)2371456SQ-P*1(1)2361475SQP*1(1)2361754SQP-*1(1)
2: 3162547QS--*1(1)3172645QSP-*1(1)3172564QSP*1(1)2314567QS-*1(1)2371456SQPP*1(1)2361475SQ--*1(1)2361754SQ-*1(1)
1: 3162547QSPP*1(1)3172456QSP-*1(1)1235476SQ-*1(1)2314567QSP*1(1)2371456SQ-P*1(1)2361475SQP*1(1)2361754SQP-*1(1)
2: 3162547QS-P*1(1)3172456QS--*1(1)1235476SQP*1(1)2314567QS-*1(1)2371456SQPP*1(1)2361475SQ--*1(1)2361754SQ-*1(1)
1: 4213567SQPP*1(1)4273516SQ-P*1(1)4273165SQ-*1(1)2314567QS-P*1(1)2374651QS-P*1(1)3426517SQP*1(1)3425671SQP*1(1)
2: 4213567SQ--*1(1)4273516SQP*1(1)4273165SQP-*1(1)2314567QSP-*1(1)2374651QSP-*1(1)3426517SQ-*1(1)3425671SQ-*1(1)
1: 4213567QSPP*1(1)4273516QS-P*1(1)4273165QS-*1(1)2314567QS-P*1(1)2374651QS-P*1(1)3426517SQP*1(1)3425671SQP*1(1)
2: 4213567QS--*1(1)4273516QSP*1(1)4273165QSP-*1(1)2314567QSP-*1(1)2374651QSP-*1(1)3426517SQ-*1(1)3425671SQ-*1(1)
1: 3412567SQPP*1(1)3472516SQ-P*1(1)3472165SQ-*1(1)2314567QS-P*1(1)2374651QS-P*1(1)3426517SQP*1(1)3425671SQP*1(1)
2: 3412567SQ--*1(1)3472516SQP*1(1)3472165SQP-*1(1)2314567QSP-*1(1)2374651QSP-*1(1)3426517SQ-*1(1)3425671SQ-*1(1)
1: 3412567QSPP*1(1)3472516QS-P*1(1)3472165QS-*1(1)2314567QS-P*1(1)2374651QS-P*1(1)3426517SQP*1(1)3425671SQP*1(1)
2: 3412567QS--*1(1)3472516QSP*1(1)3472165QSP-*1(1)2314567QSP-*1(1)2374651QSP-*1(1)3426517SQ-*1(1)3425671SQ-*1(1)
1: 2314675QSPP*1(1)2354761QSP-*1(1)3426751SQ-*1(1)2314567SQP-*1(1)2354617SQP*1(1)2354176SQP-*1(1)2314756SQP*1(1)
2: 2314675QS-P*1(1)2354761QS--*1(1)3426751SQP*1(1)2314567SQ-*1(1)2354617SQ-P*1(1)2354176SQ-*1(1)2314756SQ-P*1(1)
1: 4236751QS-*1(1)4213675SQPP*1(1)4253761SQP-*1(1)2314567SQP-*1(1)2354617SQP*1(1)2354176SQP-*1(1)2314756SQP*1(1)
2: 4236751QSP*1(1)4213675SQ-P*1(1)4253761SQ--*1(1)2314567SQ-*1(1)2354617SQ-P*1(1)2354176SQ-*1(1)2314756SQ-P*1(1)
1: 3426751QS-*1(1)3412675SQPP*1(1)3452761SQP-*1(1)2314567SQP-*1(1)2354617SQP*1(1)2354176SQP-*1(1)2314756SQP*1(1)
2: 3426751QSP*1(1)3412675SQ-P*1(1)3452761SQ--*1(1)2314567SQ-*1(1)2354617SQ-P*1(1)2354176SQ-*1(1)2314756SQ-P*1(1)
1: 3412675QSPP*1(1)3452761QSP-*1(1)4236751SQ-*1(1)2314567SQP-*1(1)2354617SQP*1(1)2354176SQP-*1(1)2314756SQP*1(1)
2: 3412675QS-P*1(1)3452761QS--*1(1)4236751SQP*1(1)2314567SQ-*1(1)2354617SQ-P*1(1)2354176SQ-*1(1)2314756SQ-P*1(1)
1: 4213675SQPP*1(1)4253761SQPP*1(1)2314567QSPP*1(1)2314756QSP*1(1)2354761QS-P*1(1)3427615SQP*1(1)3426751SQP*1(1)
2: 4213675SQ--*1(1)4253761SQ--*1(1)2314567QS-*1(1)2314756QS--*1(1)2354761QSP-*1(1)3427615SQ-*1(1)3426751SQ-*1(1)
1: 4213675QSPP*1(1)4253761QSPP*1(1)2314567QSPP*1(1)2314756QSP*1(1)2354761QS-P*1(1)3427615SQP*1(1)3426751SQP*1(1)
2: 4213675QS--*1(1)4253761QS--*1(1)2314567QS-*1(1)2314756QS--*1(1)2354761QSP-*1(1)3427615SQ-*1(1)3426751SQ-*1(1)
1: 3412675SQPP*1(1)3452761SQPP*1(1)2314567QSPP*1(1)2314756QSP*1(1)2354761QS-P*1(1)3427615SQP*1(1)3426751SQP*1(1)
2: 3412675SQ--*1(1)3452761SQ--*1(1)2314567QS-*1(1)2314756QS--*1(1)2354761QSP-*1(1)3427615SQ-*1(1)3426751SQ-*1(1)
1: 3412675QSPP*1(1)3452761QSPP*1(1)2314567QSPP*1(1)2314756QSP*1(1)2354761QS-P*1(1)3427615SQP*1(1)3426751SQP*1(1)
2: 3412675QS--*1(1)3452761QS--*1(1)2314567QS-*1(1)2314756QS--*1(1)2354761QSP-*1(1)3427615SQ-*1(1)3426751SQ-*1(1)
1: 4213675SQPP*1(1)4253761SQPP*1(1)2314567QSPP*1(1)2354617QSP*1(1)2354176QSP-*1(1)2314756QSP*1(1)3426751SQP*1(1)
2: 4213675SQ--*1(1)4253761SQ--*1(1)2314567QS-*1(1)2354617QS--*1(1)2354176QS-*1(1)2314756QS-P*1(1)3426751SQ-*1(1)
1: 4213675QSPP*1(1)4253761QSPP*1(1)2314567QSPP*1(1)2354617QSP*1(1)2354176QSP-*1(1)2314756QSP*1(1)3426751SQP*1(1)
2: 4213675QS--*1(1)4253761QS--*1(1)2314567QS-*1(1)2354617QS--*1(1)2354176QS-*1(1)2314756QS-P*1(1)3426751SQ-*1(1)
1: 3412675QSPP*1(1)3452761QSPP*1(1)2314567QSPP*1(1)2354617QSP*1(1)2354176QSP-*1(1)2314756QSP*1(1)3426751SQP*1(1)
2: 3412675QS--*1(1)3452761QS--*1(1)2314567QS-*1(1)2354617QS--*1(1)2354176QS-*1(1)2314756QS-P*1(1)3426751SQ-*1(1)
1: 2314675SQPP*1(1)2354761SQPP*1(1)2314567QSPP*1(1)2354617QSP*1(1)2354176QSP-*1(1)2314756QSP*1(1)3426751SQP*1(1)
2: 2314675SQ--*1(1)2354761SQ--*1(1)2314567QS-*1(1)2354617QS--*1(1)2354176QS-*1(1)2314756QS-P*1(1)3426751SQ-*1(1)
1: 1263547SQPP*1(1)1273456SQPP*1(1)2314567QSP*1(1)2315476QSP*1(1)2361547SQ-P*1(1)2371645SQPP*1(1)2371564SQP*1(1)
2: 1263547SQ--*1(1)1273456SQ--*1(1)2314567QS-*1(1)2315476QS-*1(1)2361547SQP-*1(1)2371645SQ-*1(1)2371564SQ--*1(1)
1: 1263547QSPP*1(1)1273456QSPP*1(1)2314567QSP*1(1)2315476QSP*1(1)2361547SQ-P*1(1)2371645SQPP*1(1)2371564SQP*1(1)
2: 1263547QS--*1(1)1273456QS--*1(1)2314567QS-*1(1)2315476QS-*1(1)2361547SQP-*1(1)2371645SQ-*1(1)2371564SQ--*1(1)
1: 3162547SQPP*1(1)3172456SQPP*1(1)2314567QSP*1(1)2315476QSP*1(1)2361547SQ-P*1(1)2371645SQPP*1(1)2371564SQP*1(1)
2: 3162547SQ--*1(1)3172456SQ--*1(1)2314567QS-*1(1)2315476QS-*1(1)2361547SQP-*1(1)2371645SQ-*1(1)2371564SQ--*1(1)
1: 3162547QSPP*1(1)3172456QSPP*1(1)2314567QSP*1(1)2315476QSP*1(1)2361547SQ-P*1(1)2371645SQPP*1(1)2371564SQP*1(1)
2: 3162547QS--*1(1)3172456QS--*1(1)2314567QS-*1(1)2315476QS-*1(1)2361547SQP-*1(1)2371645SQ-*1(1)2371564SQ--*1(1)
1: 2361547QSPP*1(1)2371456QSPP*1(1)2314567QSP*1(1)2361475SQP*1(1)2371645SQPP*1(1)2371564SQP*1(1)2361754SQP-*1(1)
2: 2361547QS--*1(1)2371456QS--*1(1)2314567QS-*1(1)2361475SQ--*1(1)2371645SQ-*1(1)2371564SQ-P*1(1)2361754SQ-*1(1)
1: 1263547SQPP*1(1)1273456SQPP*1(1)2314567QSP*1(1)2361475SQP*1(1)2371645SQPP*1(1)2371564SQP*1(1)2361754SQP-*1(1)
2: 1263547SQ--*1(1)1273456SQ--*1(1)2314567QS-*1(1)2361475SQ--*1(1)2371645SQ-*1(1)2371564SQ-P*1(1)2361754SQ-*1(1)
1: 3162547SQPP*1(1)3172456SQPP*1(1)2314567QSP*1(1)2361475SQP*1(1)2371645SQPP*1(1)2371564SQP*1(1)2361754SQP-*1(1)
2: 3162547SQ--*1(1)3172456SQ--*1(1)2314567QS-*1(1)2361475SQ--*1(1)2371645SQ-*1(1)2371564SQ-P*1(1)2361754SQ-*1(1)
1: 3162547QSPP*1(1)3172456QSPP*1(1)2314567QSP*1(1)2361475SQP*1(1)2371645SQPP*1(1)2371564SQP*1(1)2361754SQP-*1(1)
2: 3162547QS--*1(1)3172456QS--*1(1)2314567QS-*1(1)2361475SQ--*1(1)2371645SQ-*1(1)2371564SQ-P*1(1)2361754SQ-*1(1)




    On Monday, February 5, 2024 at 02:33:41 PM GMT, Andrew Johnson <andrew_johnson2001 at yahoo.com> wrote:  

https://ajohnson1.gitgub.io https://bitbucket.org/ajohnson12/stedman/src/master/ 
  

   ----- Forwarded Message ----- From: Andrew Johnson <andrew_johnson2001 at yahoo.com>To: ringing-theory at bellringers.org <ringing-theory at bellringers.org>Sent: Monday, February 5, 2024 at 02:30:57 PM GMTSubject: Fw: Stedman linkages
  

   ----- Forwarded Message ----- From: Andrew Johnson <andrew_johnson2001 at yahoo.com>To: ringingtheory at bellringers.org <ringingtheory at bellringers.org>Sent: Monday, February 5, 2024 at 02:25:49 PM GMTSubject: Stedman linkages
 It's time to explain how some odd even linkages work, allowing bobs-only peals.The important part of a odd even linkage is that they contain the same rows.
Just arfter the exact two-part Philip Saddleton explained the linkage allowing the two part..
I also remembered the 7-part arrangment of blocks from 1999 which didn't lead to a peal.I then tried to see what arrangement of sixes made this possible.
This ended up as? a 7/2 linkage where the same rows were used for each, so it they occurred anywhere the parity could be adjusted.
By doiing a search for blocks with say a 7 part end the parity of the number? of blocks could be adjusted by switching between the blocks.

Andrew Johnson
      
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