Extend Uttoxeter 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. Uttoxeter Surprise Minor 16 - 36 - 14 56 - 12 36 - 34 - 16
2. Extract places made by the hunt bell 1 - - - - - - - - - - - 6
3. Extract places above the hunt bell 6 - 36 - 4 56 - - 6 - - - -
4. Extract places below the hunt bell - - - - 1 - - 12 3 - 34 - 1
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 - 1
6. Separate into two overlapping strips - - - - 1 - - 12 3
7. Using the start change and overlap - - 12 3 - 14 - 1
8. Expand places above mode in [7] to next stage - - 14 5 - 16 - 1
9. Connect the static [6] and expanded [8] strip - - - - 1 - - 12 3 - - 14 5 - 16 - 1
10. Reverse and invert places in [9] back again 8 - 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 - 34 - 1
12. Separate into two overlapping strips - - - - 1 - - 12 3 - 34 -
13. Using the start change and overlap 3 - 34 - 1
14. Expand places above mode in [13] to next stage 5 - 56 - 1
15. Connect the static [12] and the expanded [14] strip - - - - 1 - - 12 3 - 34 - 5 - 56 - 1
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] 8 - 38 - 4 58 - - 6 78 - - 8 - - - -
22. Below places from [15] - - - - 1 - - 12 3 - 34 - 5 - 56 - 1
23. Hunt bell places from [20] 1 - - - - - - - - - - - - - - - 8
24. [Unnamed] Surprise Major 18 - 38 - 14 58 - 12 36 78 34 - 58 - 56 - 18

Extension and contraction candidates using extension process EP4-2/5:4:1/8:4:1/1:4:1  

152364 Uttoxeter Surprise Minor -36-14.56-12.36-34-16,16
15236847 [Unnamed] Surprise Major -38-14.58-12.36.78.34-58-56-18,18
1523694708 [Unnamed] Surprise Royal -30-14.50-12.36.70.34-58.90.56-70-78-10,10
152369470T8E [Unnamed] Surprise Maximus -3T-14.5T-12.36.7T.34-58.9T.56-70.ET.78-9T-90-1T,1T
152369470A8EBT [Unnamed] Surprise Fourteen -3B-14.5B-12.36.7B.34-58.9B.56-70.EB.78-9T.AB.90-EB-ET-1B,1B
152369470A8EBDTC [Unnamed] Surprise Sixteen -3D-14.5D-12.36.7D.34-58.9D.56-70.ED.78-9T.AD.90-EB.CD.ET-AD-AB-1D,1D
Minor Major Royal Maximus Fourteen Sixteen
Uttoxeter Surprise Minor [Unnamed] Surprise Major [Unnamed] Surprise Royal [Unnamed] Surprise Maximus [Unnamed] Surprise Fourteen [Unnamed] Surprise Sixteen