Extend Cotham 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. Cotham Surprise Minor 12 36 - 36 14 56 - 12 36 - 12 - 56
2. Extract places made by the hunt bell 1 - - - - - - - - - - - 6
3. Extract places above the hunt bell 2 36 - 36 4 56 - - 6 - - - -
4. Extract places below the hunt bell - - - - 1 - - 12 3 - 12 - 5
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 - - 12 3 14 - 14 5
6. Separate into two overlapping strips - - - - 1 - - 12 3
7. Using the start change and overlap - - 12 3 14 - 14 5
8. Expand places above mode in [7] to next stage - - 14 5 16 - 16 7
9. Connect the static [6] and expanded [8] strip - - - - 1 - - 12 3 - - 14 5 16 - 16 7
10. Reverse and invert places in [9] back again 2 38 - 38 4 58 - - 6 78 - - 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 - 12 - 5
12. Separate into two overlapping strips - - - - 1 - - 12 3
13. Using the start change and overlap - - 12 3 - 12 - 5
14. Expand places above mode in [13] to next stage - - 12 3 - 12 - 7
15. Connect the static [12] and the expanded [14] strip - - - - 1 - - 12 3 - - 12 3 - 12 - 7
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 38 - 38 4 58 - - 6 78 - - 8 - - - -
22. Below places from [15] - - - - 1 - - 12 3 - - 12 3 - 12 - 7
23. Hunt bell places from [20] 1 - - - - - - - - - - - - - - - 8
24. [Unnamed] Surprise Major 12 38 - 38 14 58 - 12 36 78 - 12 38 - 12 - 78

Extension and contraction candidates using extension process EP4-2/5:4:1/5:4:3/1:4:1  

b 156342 Cotham Surprise Minor 36-36.14.56-12.36-12-56,12
b 15738264 [Unnamed] Surprise Major 38-38.14.58-12.36.78-12.38-12-78,12
b 1573920486 [Unnamed] Surprise Royal 30-30.14.50-12.36.70-12.38.90-12.30-12-90,12
b 157392E4T608 [Unnamed] Surprise Maximus 3T-3T.14.5T-12.36.7T-12.38.9T-12.30.ET-12.3T-12-ET,12
b 157392E4A6B8T0 [Unnamed] Surprise Fourteen 3B-3B.14.5B-12.36.7B-12.38.9B-12.30.EB-12.3T.AB-12.3B-12-AB,12
b 157392E4A6C8D0BT [Unnamed] Surprise Sixteen 3D-3D.14.5D-12.36.7D-12.38.9D-12.30.ED-12.3T.AD-12.3B.CD-12.3D-12-CD,12
Minor Major Royal Maximus Fourteen Sixteen
Cotham Surprise Minor [Unnamed] Surprise Major [Unnamed] Surprise Royal [Unnamed] Surprise Maximus [Unnamed] Surprise Fourteen [Unnamed] Surprise Sixteen