Extend Somersham Surprise Minor


EP4 Triple Mode Constraints



EP4 Triple Mode Derivation

  0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1. Somersham Surprise Minor 12 56 - 36 14 - 12 - 36 - 14 - 36
2. Extract places made by the hunt bell 1 - - - - - - - - - - - 6
3. Extract places above the hunt bell 2 56 - 36 4 - - - 6 - - - -
4. Extract places below the hunt bell - - - - 1 - 12 - 3 - 14 - 3
Expand places above the hunt bell G F F F E D D D C B B B A
5. Reverse and invert places from [3] - - - - 1 - - - 3 14 - 12 5
6. Separate into two overlapping strips - - - - 1 - - - 3 14 - 12
7. Using the start change and overlap 3 14 - 12 5
8. Expand places above mode in [7] to next stage 5 16 - 12 7
9. Connect the static [6] and expanded [8] strip - - - - 1 - - - 3 14 - 12 5 16 - 12 7
10. Reverse and invert places in [9] back again 2 78 - 38 4 78 - 58 6 - - - 8 - - - -
Expand places below the hunt bell A B B B C D D D E F F F G
11. Below places from [4] - - - - 1 - 12 - 3 - 14 - 3
12. Separate into two overlapping strips - - - - 1 - 12 - 3 - 14 - 3
13. Using the start change and overlap - 14 - 3
14. Expand places above mode in [13] to next stage - 16 - 5
15. Connect the static [12] and the expanded [14] strip - - - - 1 - 12 - 3 - 14 - 3 - 16 - 5
Expand places of the hunt bell A B B B C D D D E F F F G
16. Hunt bell places from [2] 1 - - - - - - - - - - - 6
17. Separate into two overlapping strips 1 - - - -
18. Using the start change and overlap - - - - - - - - - - - 6
19. Expand places above mode in [18] to next stage - - - - - - - - - - - 8
20. Connect the static [17] and the expanded [19] strip 1 - - - - - - - - - - - - - - - 8
Recombine above, below and hunt bell places A B B B C D D D E F F F G H H H I
21. Above places from [10] 2 78 - 38 4 78 - 58 6 - - - 8 - - - -
22. Below places from [15] - - - - 1 - 12 - 3 - 14 - 3 - 16 - 5
23. Hunt bell places from [20] 1 - - - - - - - - - - - - - - - 8
24. [Unnamed] Differential Surprise Major 12 78 - 38 14 78 12 58 36 - 14 - 38 - 16 - 58

Extension and contraction candidates using extension process EP4-2/8:4:2/9:4:1/1:4:1  

142563 Somersham Surprise Minor 56-36.14-12-36-14-36,12
14238765 [Unnamed] Differential Surprise Major 78-38.14.78.12.58.36-14-38-16-58,12
1429750683 [Unnamed] Surprise Royal 90-30.14.90.12.50.36.90.14.70.38-16-50-18-70,12
14237E96T805 [Unnamed] Differential Surprise Maximus ET-3T.14.ET.12.5T.36.ET.14.7T.38.ET.16.9T.50-18-7T-10-9T,12
142A7596E8B0T3 [Unnamed] Surprise Fourteen AB-3B.14.AB.12.5B.36.AB.14.7B.38.AB.16.9B.50.AB.18.EB.7T-10-9B-1T-EB,12
14237C96E8A0DTB5 [Unnamed] Differential Surprise Sixteen CD-3D.14.CD.12.5D.36.CD.14.7D.38.CD.16.9D.50.CD.18.ED.7T.CD.10.AD.9B-1T-ED-1B-AD,12
Minor Major Royal Maximus Fourteen Sixteen
Somersham Surprise Minor [Unnamed] Differential Surprise Major [Unnamed] Surprise Royal [Unnamed] Differential Surprise Maximus [Unnamed] Surprise Fourteen [Unnamed] Differential Surprise Sixteen