Extend Letchworth 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. Letchworth Surprise Minor 12 56 - 36 14 - 12 - 1236 - 34 - 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 - 123 - 34 - 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 3 14 - 12 7
9. Connect the static [6] and expanded [8] strip - - - - 1 - - - 3 14 - 12 3 14 - 12 7
10. Reverse and invert places in [9] back again 2 78 - 58 6 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 - 123 - 34 - 3
12. Separate into two overlapping strips - - - - 1 - 12 - 123 - 34
13. Using the start change and overlap - 123 - 34 - 3
14. Expand places above mode in [13] to next stage - 145 - 56 - 5
15. Connect the static [12] and the expanded [14] strip - - - - 1 - 12 - 123 - 34 - 145 - 56 - 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 - 58 6 78 - 58 6 - - - 8 - - - -
22. Below places from [15] - - - - 1 - 12 - 123 - 34 - 145 - 56 - 5
23. Hunt bell places from [20] 1 - - - - - - - - - - - - - - - 8
24. [Unnamed] Surprise Major 12 78 - 58 16 78 12 58 1236 - 34 - 1458 - 56 - 58

Extension and contraction candidates using extension process EP4-2/8:4:4/7:4:1/1:4:1  

a 135264 Letchworth Surprise Minor 56-36.14-12-1236-34-36,12
13526478 [Unnamed] Surprise Major 78-58.16.78.12.58.1236-34-1458-56-58,12
a 1352749608 [Unnamed] Surprise Royal 90-70.18.90.12.70.1238.90.34.70.1458-56-1670-78-70,12
1352749608ET [Unnamed] Surprise Maximus ET-9T.10.ET.12.9T.1230.ET.34.9T.1450.ET.56.9T.1670-78-189T-90-9T,12
a 13527496E8A0BT [Unnamed] Surprise Fourteen AB-EB.1T.AB.12.EB.123T.AB.34.EB.145T.AB.56.EB.167T.AB.78.EB.189T-90-10EB-ET-EB,12
13527496E8A0BTCD [Unnamed] Surprise Sixteen CD-AD.1B.CD.12.AD.123B.CD.34.AD.145B.CD.56.AD.167B.CD.78.AD.189B.CD.90.AD.10EB-ET-1TAD-AB-AD,12
Minor Major Royal Maximus Fourteen Sixteen
Letchworth Surprise Minor [Unnamed] Surprise Major [Unnamed] Surprise Royal [Unnamed] Surprise Maximus [Unnamed] Surprise Fourteen [Unnamed] Surprise Sixteen