Composition Index

A complete principle on N bells may be defined as one which contains N! rows in the plain course.

Considering Minor, I have restricted the search to LH = 16, which means that HL must be = x , as in Original.

This means that the following groups of leadheads and leadends are possible, since at the HL it is NOT allowed to cross over 1 and 6, 2 and 3, or 4 and 5. Since each group is essentially a 6-part it is only possible to have LH2 or LH6 from each group. This has led me to classify the principles as G1F (forwards), G1B (backwards), G2F , G2B etc.

G1 G2 G3 G4 LH1 + 123456 123456 123456 123456 LE1 - 214365 215634 456123 465132 LH2 - 241635 251364 465213 456312 F LE2 + 426153 526413 213465 321465 LH3 + 462513 562143 231645 312645 LE3 - 645231 654321 645231 654321 LH4 - 654321 645231 654321 645231 LE4 + 563412 463152 321654 213654 LH5 + 536142 436512 312564 231564 LE5 - 351624 341265 564312 546213 LH6 - 315264 314625 546132 564123 B LE6 + 132546 132546 132546 132546 Half lead pairs: G1F 12/34/56 G1B 13/25/46 G2F 12/35/46 G2B 13/24/56 G3F 14/25/36 G3B 15/26/34 G4F 14/26/35 G4B 15/24/36 Click this link for a summary of the 65's at backstroke in each group.

These pages give the individual results of the searching to date The format is as follows - place notation, half lead, lead head, group, no of 65s at backstroke.

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