Paths of patterns up to prime
24
-tuplet
Twins
P
1
modulo 6 = 5
d = 0, 2
↓
Triplet
P
1
modulo 30 = 11
d = 0, 2, 6
→
mirrored pattern
P
1
modulo 30 = (30 - 11) - 6 = 13
d = 0, 4, 6
↓
4-tuplet
P
1
modulo 30 = 11
d = 0, 2, 6, 8
↓
5-tuplet
P
1
modulo 30 = 11
d = 0, 2, 6, 8, 12
→
mirrored pattern
P
1
modulo 30 = (30 - 11) - 12 = 7
d = 0, 4, 6, 10, 12
↓
↓
6-tuplet
P
1
modulo 210 = 97
d = 0, 4, 6, 10, 12, 16
↓
7-tuplet
P
1
modulo 210 = 11
d = 0, 2, 6, 8, 12, 18, 20
→
mirrored pattern
P
1
modulo 210 = (210 - 11) - 20 = 179
d = 0, 2, 8, 12, 14, 18, 20
↓
8-tuplet
P
1
modulo 210 = 11
d = 0, 2, 6, 8, 12, 18, 20, 26
→
mirrored pattern
P
1
modulo 210 = (210 - 11) - 26 = 173
d = 0, 6, 8, 14, 18, 20, 24, 26
P
1
modulo 30 = 17
d = 0, 2, 6, 12, 14, 20, 24, 26
↓
↓
9-tuplet
P
1
modulo 210 = 11
d = 0, 2, 6, 8, 12, 18, 20, 26, 30
→
mirrored pattern
P
1
modulo 210 = (210 - 11) - 30 = 169
d = 0, 4, 10, 12, 18, 22, 24, 28, 30
P
1
modulo 30 = 17
d = 0, 2, 6, 12, 14, 20, 24, 26, 30
→
mirrored pattern
P
1
modulo 30 = (30 - 17) = 13
d = 0, 4, 6, 10, 16, 18, 24, 28, 30
↓
↓
10-tuplet
P
1
modulo 210 = 11
d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32
→
mirrored pattern
P
1
modulo 210 = (210 - 11) - 32 = 167
d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32
↓
11-tuplet
P
1
modulo 2310 = 1271
d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36
→
mirrored pattern
P
1
modulo 2310 = (2310 - 1271) - 36 = 1003
d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36
↓
↓
12-tuplet
P
1
modulo 2310 = 1271
d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42
→
mirrored pattern
P
1
modulo 2310 = (2310 - 1271) - 42 = 997
d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42
↓
↓
13-tuplet
P
1
modulo 2310 = 1271
d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48
→
mirrored pattern
P
1
modulo 2310 = (2310 - 1271) - 48 = 991
d = 0, 6, 12, 16, 18, 22, 28, 30, 36, 40, 42, 46, 48
→
P
1
modulo 2310 = 1003
d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36, 46, 48
→
mirrored pattern
P
1
modulo 2310 = (2310 - 1003) - 48 = 1259
d = 0, 2, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48
→
P
1
modulo 2730 = (2730 - 1199) - 48 = 1483
d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48
→
mirrored pattern
P
1
modulo 2730 = 1199
d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48
↓
↓
14-tuplet
P
1
modulo 30030 = 15131
d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50
→
mirrored pattern
P
1
modulo 30030 = (30030 - 15131) - 50 = 14849
d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50
↓
↓
15-tuplet
P
1
modulo 30030 = 15131
d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56
→
mirrored pattern
P
1
modulo 30030 = (30030 - 15131) - 56 = 14843
d = 0, 6, 8, 14, 20, 24, 26, 30, 36, 38, 44, 48, 50, 54, 56
P
1
modulo 210 = 17
d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56
→
mirrored pattern
P
1
modulo 210 = (210 - 17) - 56 = 137
d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56
↓
↓
16-tuplet
P
1
modulo 30030 = 6943
d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60
→
mirrored pattern
P
1
modulo 30030 = (30030 - 6943) - 60 = 23027
d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60
↓
↓
17-tuplet
P
1
modulo 2310 = 17
d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66
→
mirrored pattern
P
1
modulo 2310 = (2310 - 17 - 66) = 2227
d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66
P
1
modulo 30030 = 6943
d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66
→
mirrored pattern
P
1
modulo 30030 = (30030 - 6943) - 66 = 23021
d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66
↓
18-tuplet
P
1
modulo 30030 = 6943
d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70
→
mirrored pattern
P
1
modulo 30030 = (30030 - 6943) - 70 = 23017
d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70
↓
19-tuplet
P
1
modulo 30030 = 29917
d = 0, 4, 6, 10, 12, 16, 24, 30, 34, 40, 42, 46, 52, 54, 60, 66, 70, 72, 76
→
mirrored pattern
P
1
modulo 30030 = (30030 - 29917) - 76 = 37
d = 0, 4, 6, 10, 16, 22, 24, 30, 34, 36, 42, 46, 52, 60, 64, 66, 70, 72, 76
P
1
modulo 510510 = 217153
d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70, 76
→
mirrored pattern
P
1
modulo 510510 = (510510 - 217153) - 76 = 293281
d = 0, 6, 10, 16, 18, 22, 28, 30, 36, 42, 46, 48, 52, 58, 60, 66, 70, 72, 76
↓
↓
20-tuplet
P
1
modulo 30030 = (30030 - 29) - 80 = 29921
d = 0 2 6 8 12 20 26 30 36 38 42 48 50 56 62 66 68 72 78 80
→
mirrored pattern
P
1
modulo 30030 = 29
d = 0 2 8 12 14 18 24 30 32 38 42 44 50 54 60 68 72 74 78 80
↓
↓
21-tuplet
P
1
modulo 30030 = 29917
d = 0 4 6 10 12 16 24 30 34 40 42 46 52 54 60 66 70 72 76 82 84
→
mirrored pattern
P
1
modulo 30030 = (30030 - 29917) - 84 = 29
d = 0 2 8 12 14 18 24 30 32 38 42 44 50 54 60 68 72 74 78 80 84
↓
↓
22-tuplet
P
1
modulo 510510 = 510397
d = 0 4 6 10 12 16 24 30 34 40 42 46 52 54 60 66 70 72 76 82 84 90
→
mirrored pattern
P
1
modulo 510510 = (510510 - 510397) - 90 = 23
d = 0 6 8 14 18 20 24 30 36 38 44 48 50 56 60 66 74 78 80 84 86 90
P
1
modulo 510510 = 510401
d = 0 2 6 8 12 20 26 30 36 38 42 48 50 56 62 66 68 72 78 80 86 90
→
mirrored pattern
P
1
modulo 510510 = (510510 - 510401) - 90 = 19
d = 0 4 10 12 18 22 24 28 34 40 42 48 52 54 60 64 70 78 82 84 88 90
↓
23-tuplet
P
1
modulo 510510 = 510397
d = 0 4 6 10 12 16 24 30 34 40 42 46 52 54 60 66 70 72 76 82 84 90 94
→
mirrored pattern
P
1
modulo 510510 = (510510 - 510397) - 94 = 19
d = 0 4 10 12 18 22 24 28 34 40 42 48 52 54 60 64 70 78 82 84 88 90 94
↓
24-tuplet
P
1
modulo 510510 = 108457
d = 0 4 6 10 12 16 24 30 34 40 42 46 52 60 66 70 72 76 82 84 90 94 96 100
→
mirrored pattern
P
1
modulo 510510 = (510510 - 108457) - 100 = 401953
d = 0 4 6 10 16 18 24 28 30 34 40 48 54 58 60 66 70 76 84 88 90 94 96 100
P
1
modulo 510510 = 217153
d = 0 4 6 10 16 18 24 28 30 34 40 46 48 54 58 60 66 70 76 84 88 94 96 100
→
mirrored pattern
P
1
modulo 510510 = (510510 - 217153) - 100 = 293257
d = 0 4 6 12 16 24 30 34 40 42 46 52 54 60 66 70 72 76 82 84 90 94 96 100
