Extend Billy the Kid 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. Billy the Kid Surprise Minor 12 34 - 36 14 - 12 - 36 - 1234 - 36
2. Extract places made by the hunt bell 1 - - - - - - - - - - - 6
3. Extract places above the hunt bell 2 34 - 36 4 - - - 6 - - - -
4. Extract places below the hunt bell - - - - 1 - 12 - 3 - 1234 - 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 - 34 5
6. Separate into two overlapping strips - - - - 1 - - - 3 14 - 34 5
7. Using the start change and overlap 14 - 34 5
8. Expand places above mode in [7] to next stage 14 - 34 7
9. Connect the static [6] and expanded [8] strip - - - - 1 - - - 3 14 - 34 5 14 - 34 7
10. Reverse and invert places in [9] back again 2 56 - 58 4 56 - 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 - 1234 - 3
12. Separate into two overlapping strips - - - - 1 - 12 - 3
13. Using the start change and overlap - 12 - 3 - 1234 - 3
14. Expand places above mode in [13] to next stage - 12 - 5 - 1256 - 5
15. Connect the static [12] and the expanded [14] strip - - - - 1 - 12 - 3 - 12 - 5 - 1256 - 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 56 - 58 4 56 - 58 6 - - - 8 - - - -
22. Below places from [15] - - - - 1 - 12 - 3 - 12 - 5 - 1256 - 5
23. Hunt bell places from [20] 1 - - - - - - - - - - - - - - - 8
24. [Unnamed] Surprise Major 12 56 - 58 14 56 12 58 36 - 12 - 58 - 1256 - 58

Extension and contraction candidates using extension process EP4-2/9:4:4/5:4:2/1:4:1  

f 142635 Billy the Kid Surprise Minor 34-36.14-12-36-1234-36,12
14263785 [Unnamed] Surprise Major 56-58.14.56.12.58.36-12-58-1256-58,12
1426385790 [Unnamed] Surprise Royal 78-70.14.78.12.70.36.78.12.70.58-12-70-1278-70,12
f 142638507T9E [Unnamed] Surprise Maximus 90-9T.14.90.12.9T.36.90.12.9T.58.90.12.9T.70-12-9T-1290-9T,12
142638507T9ABE [Unnamed] Surprise Fourteen ET-EB.14.ET.12.EB.36.ET.12.EB.58.ET.12.EB.70.ET.12.EB.9T-12-EB-12ET-EB,12
142638507T9BEACD [Unnamed] Surprise Sixteen AB-AD.14.AB.12.AD.36.AB.12.AD.58.AB.12.AD.70.AB.12.AD.9T.AB.12.AD.EB-12-AD-12AB-AD,12
Minor Major Royal Maximus Fourteen Sixteen
Billy the Kid Surprise Minor [Unnamed] Surprise Major [Unnamed] Surprise Royal [Unnamed] Surprise Maximus [Unnamed] Surprise Fourteen [Unnamed] Surprise Sixteen