I begin by selecting a favorite trichordal set-class. For me, this has long been 013 (in 12-edo). I'm drawn to it's tonal associations, and, in many spacings and registrations, it has a poignant, melancholic character, which seems to be what I am often after in my music. I want to work in a higher Equal-Temperament, to take advantage of microtonal possibilities not readily available in standared 12-edo instrumental music. Minor 3rds, (an interval in the 013 set), are only .2 cents off from Just Intonation in 19 Tone-Equal-Temperament. Therefore, we elect to work in 19 Tone-Equal-Temperament.

Next, we notice that in terms of sound, there are several trichords in 19tet that can arguably be said to "sound like" 013 in 12tet. As follows:

We build a 19tet row, saturated with these 013 "sound-alikes":

6 1 4 3 8 5 18 2 16 0 14 17 13 9 12 7 10 15 11

whose saturation is as follows:
  1. 6 1 4 [0 2 5]
  2. 1 4 3 [0 1 3]
  3. 4 3 8 [0 1 5]
  4. 3 8 5 [0 2 5]
  5. 18 2 16 [0 2 5]
  6. 2 16 0 [0 2 5]
  7. 16 0 14 [0 2 5]
  8. 14 17 13 [0 1 4]
  9. 13 9 12 [0 1 4]
  10. 9 12 7 [0 2 5]
  11. 12 7 10 [0 2 5]
  12. 10 15 11 [0 1 5]

Next, from this row, we build a 6-line combinatorial array. (i.e.---Each vertical partition holds all 19 pitch-classes once each. Each horizontal lyne, going across, holds a form of the row.)

*                                            *                                            *                                            (11 7 12 15 10 13 9)                         *                                            (5 8 3 6 1 4 17 14 0 18 2 16)                
(11 7 12 15 10 13 9)                         (5 8 3)                                      (6 1 4)                                      (17 14 0)                                    (18 2 16)                                    *                                            
*                                            (11 15 10 7 12 9 13 17 14 0)                 (16 2 18)                                    (5 8 3)                                      (4 1 6)                                      *                                            
*                                            (16 2 18)                                    (0 14 17)                                    (4 1 6)                                      (3 8 5)                                      (9 13 10 15 12 7 11)                         
(6 1 4 3 8 5 18 2 16 0 14 17)                *                                            (13 9 12 7 10 15 11)                         *                                            *                                            *                                            
*                                            (6 1 4)                                      (3 8 5)                                      (18 2 16)                                    (0 14 17 13 9 12 7 10 15 11)                 *                                            


(For these array examples, please scroll across. . . . )

This contains each of the 4 forms (P I R RI) of the "row" at least once. 2 of them are found twice. (The one beginning 6 1 4 3 8. . . and the one beginning 11 7 12 15 10. . . .)

Thus, if we transpose this array-block 19 times, we will have 19 blocks, each transposed to a different pitch-class, thus containing all 19X4 forms of the row (76). (Plus 19X2 duplicates). This will happen with any constant transposition-factor from block to block. If we transpose it by 5 (a minor thrid in 19t-ET) each time, for example, and re-arrange the vertical positioning of the lines according to a certain scheme (which I'm not going to detail at this point), from each block to the next, then we will get quite a few swapping possibilities between blocks.

This enables us to swap around in the giant 114-partition block produced, and maybe get something approaching the all-partition-array idea, used by Babbitt in his 12Tet works. To actually produce all the partitions of 19 items into 6 or fewer parts (lines), would be a tremendous task, so I first limited myself to producing an "all-different-partition" array. That is, given the basic 6 block construct shown above, transposed 19 times, we get 114 blocks (partitions.) Through swapping we might try to get 114 different partitional shapes. This also proved an unwieldy task, so I opted for a half-way solution. The half-way solution was to come up with different partitions for the first 60 blocks, which gives us:
*                                            *                                            *                                            (11 7 12 15 10 13 9)                         (5)                                          (8 3 6 1 4 17 14 0 18 2 16)                  *                                            (11 6 9)                                     (8 13 10 4)                                  (7 2 5 0)                                    (3 18 14 17 12 15 1 16)                      *                                            *                                            (2 6 1 17 3 0 4 8 5)                         (10 7 12 9 15)                               (18)                                         (13 14 11 16)                                *                                            *                                            (12 17 14)                                   (15 10 13)                                   (0 16 2 18)                                  (4)                                          (1 5 9 6 11 8 3 7)                           *                                            *                                            *                                            (12 8 13 16 11 14 10)                        (6 9 4)                                      (7 2 5 18 15 1 0 3 17)                       (12 7)                                       (10)                                         (9 14 11 5 8)                                (3)                                          (6 1 4 0 15 18 13 16 2 17)                   *                                            *                                            (3 7 2 18 4 1 5 9 6 11 8)                    (13 10 16 0)                                 (14)                                         (15 12 17 13)                                (18)                                         *                                            (15)                                         (16 11 14)                                   (1 17 3 0)                                   *                                            (5 2 6 10 7 12 9 4)                          (8)                                          *                                            (13)                                         *                                            (9 14 17 12 15)                              (11)                                         (7 10 5 8 3 6 0 16 2 1 4 18 13)              (8 11)                                       (10 15 12)                                   (6 9 4 7 2 5 1 16 0 17 3 18)                 *                                            *                                            
(11 7 12 15 10 13 9)                         (5 8 3)                                      (6 1 4)                                      (17 14 0)                                    (18 2 16)                                    *                                            (11 6 9 8 13 10)                             (4 7 2 5 0 3)                                (18 14 17 12 15 1 16)                        *                                            *                                            *                                            (2 17 3 6 1 4 0)                             (15 18 13)                                   (16 11 14)                                   (8 5)                                        (10 9 12 7)                                  (2)                                          (16 0 18 4 1 14 17 12 15 10 13)              *                                            (9 5 8 3 6 11)                               (7)                                          *                                            *                                            *                                            (12 8 13 16 11 14 10 6 9 4)                  (7 2 5 18)                                   *                                            (15 1 0 3 17 12 7)                           *                                            (10 9 14 11 5 8 3 6 1 4)                     *                                            (0 15 18 13 16 2 17)                         *                                            (3)                                          *                                            (18 4 7 2 5 1)                               (16 0 14)                                    (17 12 15)                                   (9 6 11)                                     (10)                                         (13 8 3)                                     (17 1 0 5 2 15)                              (18 13 16 11 14)                             (10 6 9 4 7 12)                              *                                            (8)                                          (13)                                         (9 14)                                       (17 12 15 11 7 10 5)                         (8)                                          (3 6)                                        (0 16 2 1 4 18 13 8 11)                      (10 15 12 6 9 4 7 2 5)                       *                                            (1 16 0 14 17 3)                             (18)                                         *                                            *                                            *                                            
*                                            (11 15 10 7 12 9 13 17 14 0)                 (16 2 18)                                    (5 8)                                        (3 4 1 6)                                    *                                            (2 7 4 5 0 3)                                *                                            *                                            (9 6 11)                                     (8 13 10)                                    (14 18 15 1 17 12)                           (16)                                         *                                            *                                            (2 17 3 6 1 4 0)                             *                                            (15 18 13 16 11 14 8 5 10 9 12)              (7 2)                                        (16 0)                                       (18)                                         (4 1 14 17 12)                               (15 10 13 9 5 8 3 6 11 7 12)                 *                                            (16 11 8 13 10 14 18 15 1)                   *                                            (17 3)                                       (0 6 9 4)                                    (5 2)                                        *                                            *                                            (7 3 8 5 6)                                  *                                            (1 4 10 7 12)                                *                                            (9 14 11 15 0 16 2 18 13 17)                 *                                            *                                            *                                            (3 18 4 7 2 5 1)                             (16)                                         (0 14 17 12 15 9 6 11 10)                    (13)                                         (8 3 17 1)                                   (0 5 2)                                      *                                            (15 18 13 16 11 14 10 6 9 4 7 12)            (8)                                          (13 17 12)                                   (9)                                          (14 11 15 0 16 2 18 4 1 7 10)                *                                            (5 6 3)                                      (8)                                          *                                            (4 9 6 7 2 5)                                *                                            (11 8 13 10)                                 (15 12 16 1 17 3 0 14 18)                    *                                            
*                                            (16 2 18)                                    (0 14 17)                                    (4 1 6 3)                                    (8)                                          (5 9 13 10 15 12 7 11)                       *                                            *                                            *                                            (16 12 17 1 15 18 14)                        *                                            (10 13 8 11 6 9 3 0 5 4 7 2)                 *                                            (16 11 14)                                   (13 18)                                      (15 9 12 7 10)                               (5 8 4 0 3 17 1 6 2)                         *                                            *                                            (7 11 6 3 8 5 9 13 10 15)                    (12 17 14 1 4)                               *                                            (18 0 16 2)                                  *                                            (17)                                         (3 0)                                        (1 15)                                       (18 5 2 7)                                   *                                            (4 9 6 10 14 11 16 13 8)                     *                                            (12)                                         *                                            (17 13 18 2 16 0 15)                         (11 14 9 12)                                 (7 10 4 1 6 5 8)                             (3)                                          (17 12 15)                                   (14)                                         (10 13 8)                                    (11 6 9 5 1 4 18 2 7 3)                      *                                            (8 12 7 4 9 6 10 14 11 16)                   *                                            (13 18 15)                                   *                                            (2 5)                                        (0 1 17 3 18)                                *                                            (4 1 2 16 0 6)                               (3)                                          (8 5)                                        (10 7)                                       *                                            (11 15 12 17 14 9)                           (13)                                         *                                            *                                            *                                            (18 14 0 3 17 1 16 12 15 10 13 8 11 5 2 7 6 9 4)
(6 1 4 3 8 5 18 2 16 0 14 17)                *                                            (13 9 12 7 10 15 11)                         *                                            *                                            *                                            (16 12 17 1 15 18 14)                        (10 13 8)                                    (11 6 9)                                     (3)                                          (0 5 4 7 2)                                  (16)                                         (11 14 13 18 15 9 12 7 10 5 8)               *                                            (4 0 3 17 1 6 2)                             *                                            *                                            (7)                                          (3 8 11 6 9 5)                               (1 4 18)                                     (2 16 0)                                     (13 10 15)                                   (14 17)                                      (12)                                         (7 2 5 4 9 6 0 3)                            (17 1 15 18)                                 (14 10 13 8 11 16 12)                        *                                            *                                            *                                            *                                            (17 13 18 2 16 0 15 11 14 9)                 (12 7 10 4 1)                                (6)                                          (5 8)                                        (3)                                          (17 12 15 14 0 16)                           (10 13)                                      (8 11 6 9 5 1 4 18 2 7 3)                    *                                            (8)                                          *                                            *                                            (4 9 12 7 10 6 2 5 0)                        (3 17 1)                                     (14 11 16 15 18 13 8)                        *                                            *                                            (3 6 5 10 7 1 4 18 2 16 0 15 11)             (14)                                         (9 12 17)                                    (13)                                         *                                            (18 14 0 3 17 1 16)                          *                                            (12 15 10)                                   (13 8 11)                                    *                                            (5 2 7 6 9 4)                                *                                            
*                                            (6 1 4)                                      (3 8 5)                                      (18 2 16)                                    (0 14 17 13 9 12 7 10 15 11)                 *                                            *                                            (16 1 15 12 17 14 18)                        (3 0 5 2 7)                                  (4 10 13 8)                                  (9 6 11)                                     *                                            *                                            (7 12 9 10)                                  (5 8)                                        (14 11 16 13)                                (18 15)                                      (0 4 1 6 3 17)                               *                                            (2)                                          (7)                                          (3 8 11 6 9 5)                               (1)                                          (4 18 2 16 0 13 10 15 14 17)                 (12)                                         (7 2 5)                                      (4 9 6 0)                                    (3 17 1 15)                                  (18 14 10 13 8 11 16)                        (12)                                         (17 2 16 13 18 15 0)                         (4 1)                                        (6 3)                                        (8 5 11 14 9)                                (10 7)                                       (12)                                         (8 13 10 11 6 9)                             *                                            *                                            (0 16 15 12 17)                              (14 0)                                       (16 1 5 2 7 4)                               (18 3)                                       *                                            (8)                                          (4 9 12 7 10 6 2 5)                          (0 3 17 1)                                   (14 11 16 15)                                *                                            (18 13 8 3)                                  (6 5)                                        (10 7 1 4 18 2 16 0 5 11 14 9 12 17)         *                                            (13)                                         *                                            (18)                                         (3 17 14 0 16 1 5 2 7 4 9 6)                 (12 15)                                      (10 11 8 13)                                 *                                            


Finally, I use not the simple pitch array by itself, but in canonic counterpoint with itself, as the final pitch super-array. The lines of the original (dux) are "in your face", or un-spatialized. The lines of the new (comes) array are "spatialized" "reverberated", echoed, or whatever. Registrally,dux and comes intertwine 0-with-0, 1-with-1, etc. (It turns out that this particular intertwining will give me (I think) the most unisons between pairs, which is what I was after.) Thus, the final pitch superarray is:

0                                             1                                             2                                                3                                             4                                             5                                      6                                             7                                             8                                                9                                             10                                            11                                          12                                            13                                            14                                       15                                            16                                            17                                  18                                            19                                            20                                            21                                            22                                            23                                      24                                             25                                              26                                         27                                              28                                               29                                       30                                                31                                                32                                   33                                                 34                                        35                                                 36                                       37                                       38                                        39                                           40                                        41                                              42                                       43                                                44                                                 45                                  46                                             47                                       48                                            49                                            50                                          51                                                52                                       53                                            54                                              55                                              56                                       57                                        58                                           59                                                         60                                         61                                            62                                          63                                          64                                             65  


*                                            *                                            *                                            (11 7 12 15 10 13 9)                         (5)                                          (8 3 6 1 4 17 14 0 18 2 16)                  *                                            (11 6 9)                                     (8 13 10 4)                                  (7 2 5 0)                                    (3 18 14 17 12 15 1 16)                      *                                            *                                            (2 6 1 17 3 0 4 8 5)                         (10 7 12 9 15)                               (18)                                         (13 14 11 16)                                *                                            *                                            (12 17 14)                                   (15 10 13)                                   (0 16 2 18)                                  (4)                                          (1 5 9 6 11 8 3 7)                           *                                            *                                            *                                            (12 8 13 16 11 14 10)                        (6 9 4)                                      (7 2 5 18 15 1 0 3 17)                       (12 7)                                       (10)                                         (9 14 11 5 8)                                (3)                                          (6 1 4 0 15 18 13 16 2 17)                   *                                            *                                            (3 7 2 18 4 1 5 9 6 11 8)                    (13 10 16 0)                                 (14)                                         (15 12 17 13)                                (18)                                         *                                            (15)                                         (16 11 14)                                   (1 17 3 0)                                   *                                            (5 2 6 10 7 12 9 4)                          (8)                                          *                                            (13)                                         *                                            (9 14 17 12 15)                              (11)                                         (7 10 5 8 3 6 0 16 2 1 4 18 13)              (8 11)                                       (10 15 12)                                   (6 9 4 7 2 5 1 16 0 17 3 18)                 *                                            *                                            
*                                            *                                            *                                            *                                            *                                            *                                            *                                            *                                            *                                            (11 7 12 15 10 13 9)                         (5)                                          (8 3 6 1 4 17 14 0 18 2 16)                  *                                            (11 6 9)                                     (8 13 10 4)                                  (7 2 5 0)                                    (3 18 14 17 12 15 1 16)                      *                                            *                                            (2 6 1 17 3 0 4 8 5)                         (10 7 12 9 15)                               (18)                                         (13 14 11 16)                                *                                            *                                            (12 17 14)                                   (15 10 13)                                   (0 16 2 18)                                  (4)                                          (1 5 9 6 11 8 3 7)                           *                                            *                                            *                                            (12 8 13 16 11 14 10)                        (6 9 4)                                      (7 2 5 18 15 1 0 3 17)                       (12 7)                                       (10)                                         (9 14 11 5 8)                                (3)                                          (6 1 4 0 15 18 13 16 2 17)                   *                                            *                                            (3 7 2 18 4 1 5 9 6 11 8)                    (13 10 16 0)                                 (14)                                         (15 12 17 13)                                (18)                                         *                                            (15)                                         (16 11 14)                                   (1 17 3 0)                                   *                                            (5 2 6 10 7 12 9 4)                          (8)                                          *                                            (13)                                         *                                            (9 14 17 12 15)                              (11)                                                 (7 10 5 8 3 6 0 16 2 1 4 18 13)              (8 11)                                       (10 15 12)                                   (6 9 4 7 2 5 1 16 0 17 3 18)                 *                                            *                                                                               
(11 7 12 15 10 13 9)                         (5 8 3)                                      (6 1 4)                                      (17 14 0)                                    (18 2 16)                                    *                                            (11 6 9 8 13 10)                             (4 7 2 5 0 3)                                (18 14 17 12 15 1 16)                        *                                            *                                            *                                            (2 17 3 6 1 4 0)                             (15 18 13)                                   (16 11 14)                                   (8 5)                                        (10 9 12 7)                                  (2)                                          (16 0 18 4 1 14 17 12 15 10 13)              *                                            (9 5 8 3 6 11)                               (7)                                          *                                            *                                            *                                            (12 8 13 16 11 14 10 6 9 4)                  (7 2 5 18)                                   *                                            (15 1 0 3 17 12 7)                           *                                            (10 9 14 11 5 8 3 6 1 4)                     *                                            (0 15 18 13 16 2 17)                         *                                            (3)                                          *                                            (18 4 7 2 5 1)                               (16 0 14)                                    (17 12 15)                                   (9 6 11)                                     (10)                                         (13 8 3)                                     (17 1 0 5 2 15)                              (18 13 16 11 14)                             (10 6 9 4 7 12)                              *                                            (8)                                          (13)                                         (9 14)                                       (17 12 15 11 7 10 5)                         (8)                                          (3 6)                                        (0 16 2 1 4 18 13 8 11)                      (10 15 12 6 9 4 7 2 5)                       *                                            (1 16 0 14 17 3)                             (18)                                         *                                            *                                            *   
*                                            *                                            *                                            *                                            *                                            *                                            (11 7 12 15 10 13 9)                         (5 8 3)                                      (6 1 4)                                      (17 14 0)                                    (18 2 16)                                    *                                            (11 6 9 8 13 10)                             (4 7 2 5 0 3)                                (18 14 17 12 15 1 16)                        *                                            *                                            *                                            (2 17 3 6 1 4 0)                             (15 18 13)                                   (16 11 14)                                   (8 5)                                        (10 9 12 7)                                  (2)                                          (16 0 18 4 1 14 17 12 15 10 13)              *                                            (9 5 8 3 6 11)                               (7)                                          *                                            *                                            *                                            (12 8 13 16 11 14 10 6 9 4)                  (7 2 5 18)                                   *                                            (15 1 0 3 17 12 7)                           *                                            (10 9 14 11 5 8 3 6 1 4)                     *                                            (0 15 18 13 16 2 17)                         *                                            (3)                                          *                                            (18 4 7 2 5 1)                               (16 0 14)                                    (17 12 15)                                   (9 6 11)                                     (10)                                         (13 8 3)                                     (17 1 0 5 2 15)                              (18 13 16 11 14)                             (10 6 9 4 7 12)                              *                                            (8)                                          (13)                                         (9 14)                                       (17 12 15 11 7 10 5)                         (8)                                          (3 6)                                        (0 16 2 1 4 18 13 8 11)                      (10 15 12 6 9 4 7 2 5)                               *                                            (1 16 0 14 17 3)                             (18)                                         *                                            *                                            * 
*                                            (11 15 10 7 12 9 13 17 14 0)                 (16 2 18)                                    (5 8)                                        (3 4 1 6)                                    *                                            (2 7 4 5 0 3)                                *                                            *                                            (9 6 11)                                     (8 13 10)                                    (14 18 15 1 17 12)                           (16)                                         *                                            *                                            (2 17 3 6 1 4 0)                             *                                            (15 18 13 16 11 14 8 5 10 9 12)              (7 2)                                        (16 0)                                       (18)                                         (4 1 14 17 12)                               (15 10 13 9 5 8 3 6 11 7 12)                 *                                            (16 11 8 13 10 14 18 15 1)                   *                                            (17 3)                                       (0 6 9 4)                                    (5 2)                                        *                                            *                                            (7 3 8 5 6)                                  *                                            (1 4 10 7 12)                                *                                            (9 14 11 15 0 16 2 18 13 17)                 *                                            *                                            *                                            (3 18 4 7 2 5 1)                             (16)                                         (0 14 17 12 15 9 6 11 10)                    (13)                                         (8 3 17 1)                                   (0 5 2)                                      *                                            (15 18 13 16 11 14 10 6 9 4 7 12)            (8)                                          (13 17 12)                                   (9)                                          (14 11 15 0 16 2 18 4 1 7 10)                *                                            (5 6 3)                                      (8)                                          *                                            (4 9 6 7 2 5)                                *                                            (11 8 13 10)                                 (15 12 16 1 17 3 0 14 18)  
*                                            *                                            *                                            *                                            *                                            *                                            *                                            (11 15 10 7 12 9 13 17 14 0)                 (16 2 18)                                    (5 8)                                        (3 4 1 6)                                    *                                            (2 7 4 5 0 3)                                *                                            *                                            (9 6 11)                                     (8 13 10)                                    (14 18 15 1 17 12)                           (16)                                         *                                            *                                            (2 17 3 6 1 4 0)                             *                                            (15 18 13 16 11 14 8 5 10 9 12)              (7 2)                                        (16 0)                                       (18)                                         (4 1 14 17 12)                               (15 10 13 9 5 8 3 6 11 7 12)                 *                                            (16 11 8 13 10 14 18 15 1)                   *                                            (17 3)                                       (0 6 9 4)                                    (5 2)                                        *                                            *                                            (7 3 8 5 6)                                  *                                            (1 4 10 7 12)                                *                                            (9 14 11 15 0 16 2 18 13 17)                 *                                            *                                            *                                            (3 18 4 7 2 5 1)                             (16)                                         (0 14 17 12 15 9 6 11 10)                    (13)                                         (8 3 17 1)                                   (0 5 2)                                      *                                            (15 18 13 16 11 14 10 6 9 4 7 12)            (8)                                          (13 17 12)                                   (9)                                          (14 11 15 0 16 2 18 4 1 7 10)                *                                            (5 6 3)                                      (8)                                                  *                                            (4 9 6 7 2 5)                                *                                            (11 8 13 10)                                 (15 12 16 1 17 3 0 14 18)                    *                
*                                            (16 2 18)                                    (0 14 17)                                    (4 1 6 3)                                    (8)                                          (5 9 13 10 15 12 7 11)                       *                                            *                                            *                                            (16 12 17 1 15 18 14)                        *                                            (10 13 8 11 6 9 3 0 5 4 7 2)                 *                                            (16 11 14)                                   (13 18)                                      (15 9 12 7 10)                               (5 8 4 0 3 17 1 6 2)                         *                                            *                                            (7 11 6 3 8 5 9 13 10 15)                    (12 17 14 1 4)                               *                                            (18 0 16 2)                                  *                                            (17)                                         (3 0)                                        (1 15)                                       (18 5 2 7)                                   *                                            (4 9 6 10 14 11 16 13 8)                     *                                            (12)                                         *                                            (17 13 18 2 16 0 15)                         (11 14 9 12)                                 (7 10 4 1 6 5 8)                             (3)                                          (17 12 15)                                   (14)                                         (10 13 8)                                    (11 6 9 5 1 4 18 2 7 3)                      *                                            (8 12 7 4 9 6 10 14 11 16)                   *                                            (13 18 15)                                   *                                            (2 5)                                        (0 1 17 3 18)                                *                                            (4 1 2 16 0 6)                               (3)                                          (8 5)                                        (10 7)                                       *                                            (11 15 12 17 14 9)                           (13)                                         *                                            *                                            *                                            (18 14 0 3 17 1 16 12 15 10 13 8 11 5 2 7 6 9 4)
*                                            *                                            *                                            *                                            *                                            *                                            *                                            (16 2 18)                                    (0 14 17)                                    (4 1 6 3)                                    (8)                                          (5 9 13 10 15 12 7 11)                       *                                            *                                            *                                            (16 12 17 1 15 18 14)                        *                                            (10 13 8 11 6 9 3 0 5 4 7 2)                 *                                            (16 11 14)                                   (13 18)                                      (15 9 12 7 10)                               (5 8 4 0 3 17 1 6 2)                         *                                            *                                            (7 11 6 3 8 5 9 13 10 15)                    (12 17 14 1 4)                               *                                            (18 0 16 2)                                  *                                            (17)                                         (3 0)                                        (1 15)                                       (18 5 2 7)                                   *                                            (4 9 6 10 14 11 16 13 8)                     *                                            (12)                                         *                                            (17 13 18 2 16 0 15)                         (11 14 9 12)                                 (7 10 4 1 6 5 8)                             (3)                                          (17 12 15)                                   (14)                                         (10 13 8)                                    (11 6 9 5 1 4 18 2 7 3)                      *                                            (8 12 7 4 9 6 10 14 11 16)                   *                                            (13 18 15)                                   *                                            (2 5)                                        (0 1 17 3 18)                                *                                            (4 1 2 16 0 6)                               (3)                                          (8 5)                                        (10 7)                                       *                                                    (11 15 12 17 14 9)                           (13)                                         *                                            *                                            *                                            (18 14 0 3 17 1 16 12 15 10 13 8 11 5 2 7 6 9 4)                                              
(6 1 4 3 8 5 18 2 16 0 14 17)                *                                            (13 9 12 7 10 15 11)                         *                                            *                                            *                                            (16 12 17 1 15 18 14)                        (10 13 8)                                    (11 6 9)                                     (3)                                          (0 5 4 7 2)                                  (16)                                         (11 14 13 18 15 9 12 7 10 5 8)               *                                            (4 0 3 17 1 6 2)                             *                                            *                                            (7)                                          (3 8 11 6 9 5)                               (1 4 18)                                     (2 16 0)                                     (13 10 15)                                   (14 17)                                      (12)                                         (7 2 5 4 9 6 0 3)                            (17 1 15 18)                                 (14 10 13 8 11 16 12)                        *                                            *                                            *                                            *                                            (17 13 18 2 16 0 15 11 14 9)                 (12 7 10 4 1)                                (6)                                          (5 8)                                        (3)                                          (17 12 15 14 0 16)                           (10 13)                                      (8 11 6 9 5 1 4 18 2 7 3)                    *                                            (8)                                          *                                            *                                            (4 9 12 7 10 6 2 5 0)                        (3 17 1)                                     (14 11 16 15 18 13 8)                        *                                            *                                            (3 6 5 10 7 1 4 18 2 16 0 15 11)             (14)                                         (9 12 17)                                    (13)                                         *                                            (18 14 0 3 17 1 16)                          *                                            (12 15 10)                                   (13 8 11)                                    *                                            (5 2 7 6 9 4)                                *                                                                                                      
*                                            *                                            *                                            *                                            *                                            *                                            (6 1 4 3 8 5 18 2 16 0 14 17)                *                                            (13 9 12 7 10 15 11)                         *                                            *                                            *                                            (16 12 17 1 15 18 14)                        (10 13 8)                                    (11 6 9)                                     (3)                                          (0 5 4 7 2)                                  (16)                                         (11 14 13 18 15 9 12 7 10 5 8)               *                                            (4 0 3 17 1 6 2)                             *                                            *                                            (7)                                          (3 8 11 6 9 5)                               (1 4 18)                                     (2 16 0)                                     (13 10 15)                                   (14 17)                                      (12)                                         (7 2 5 4 9 6 0 3)                            (17 1 15 18)                                 (14 10 13 8 11 16 12)                        *                                            *                                            *                                            *                                            (17 13 18 2 16 0 15 11 14 9)                 (12 7 10 4 1)                                (6)                                          (5 8)                                        (3)                                          (17 12 15 14 0 16)                           (10 13)                                      (8 11 6 9 5 1 4 18 2 7 3)                    *                                            (8)                                          *                                            *                                            (4 9 12 7 10 6 2 5 0)                        (3 17 1)                                     (14 11 16 15 18 13 8)                        *                                            *                                            (3 6 5 10 7 1 4 18 2 16 0 15 11)             (14)                                         (9 12 17)                                    (13)                                         *                                            (18 14 0 3 17 1 16)                                  *                                            (12 15 10)                                   (13 8 11)                                    *                                            (5 2 7 6 9 4)                                *                                                                                                                
*                                            (6 1 4)                                      (3 8 5)                                      (18 2 16)                                    (0 14 17 13 9 12 7 10 15 11)                 *                                            *                                            (16 1 15 12 17 14 18)                        (3 0 5 2 7)                                  (4 10 13 8)                                  (9 6 11)                                     *                                            *                                            (7 12 9 10)                                  (5 8)                                        (14 11 16 13)                                (18 15)                                      (0 4 1 6 3 17)                               *                                            (2)                                          (7)                                          (3 8 11 6 9 5)                               (1)                                          (4 18 2 16 0 13 10 15 14 17)                 (12)                                         (7 2 5)                                      (4 9 6 0)                                    (3 17 1 15)                                  (18 14 10 13 8 11 16)                        (12)                                         (17 2 16 13 18 15 0)                         (4 1)                                        (6 3)                                        (8 5 11 14 9)                                (10 7)                                       (12)                                         (8 13 10 11 6 9)                             *                                            *                                            (0 16 15 12 17)                              (14 0)                                       (16 1 5 2 7 4)                               (18 3)                                       *                                            (8)                                          (4 9 12 7 10 6 2 5)                          (0 3 17 1)                                   (14 11 16 15)                                *                                            (18 13 8 3)                                  (6 5)                                        (10 7 1 4 18 2 16 0 5 11 14 9 12 17)         *                                            (13)                                         *                                            (18)                                         (3 17 14 0 16 1 5 2 7 4 9 6)                 (12 15)                                      (10 11 8 13)                                 *                                                                                                             
*                                            *                                            *                                            *                                            *                                            *                                            *                                            (6 1 4)                                      (3 8 5)                                      (18 2 16)                                    (0 14 17 13 9 12 7 10 15 11)                 *                                            *                                            (16 1 15 12 17 14 18)                        (3 0 5 2 7)                                  (4 10 13 8)                                  (9 6 11)                                     *                                            *                                            (7 12 9 10)                                  (5 8)                                        (14 11 16 13)                                (18 15)                                      (0 4 1 6 3 17)                               *                                            (2)                                          (7)                                          (3 8 11 6 9 5)                               (1)                                          (4 18 2 16 0 13 10 15 14 17)                 (12)                                         (7 2 5)                                      (4 9 6 0)                                    (3 17 1 15)                                  (18 14 10 13 8 11 16)                        (12)                                         (17 2 16 13 18 15 0)                         (4 1)                                        (6 3)                                        (8 5 11 14 9)                                (10 7)                                       (12)                                         (8 13 10 11 6 9)                             *                                            *                                            (0 16 15 12 17)                              (14 0)                                       (16 1 5 2 7 4)                               (18 3)                                       *                                            (8)                                          (4 9 12 7 10 6 2 5)                          (0 3 17 1)                                   (14 11 16 15)                                *                                            (18 13 8 3)                                  (6 5)                                        (10 7 1 4 18 2 16 0 5 11 14 9 12 17)         *                                            (13)                                                 *                                            (18)                                         (3 17 14 0 16 1 5 2 7 4 9 6)                 (12 15)                                      (10 11 8 13)                                 *