KH0061/AS050 - Pendant Pendant Sums
Drawings:
Right Handed Sums: # Sums = 30, Max # Summands = 73, (Min, Mean, Max) Sum Values = (12, 403, 3654)
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Left Handed Sums: # Sums = 25, Max # Summands = 33, (Min, Mean, Max) Sum Values = (11, 341, 2667)
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Right Handed Sum Detail: - Click on column name to sort
| # | Color | Sum Schema | Sum Cord | Sum Cord Value | # Summands | Summands |
|---|---|---|---|---|---|---|
| 1 | ![]() | g1p2 : 1346W-B | 1346 | 57 | g6p14: 2BD + g6p15: 0W-BD + g6p16: 25B + g6p17: 0BD + g6p18: 113W:BD + g7p1: 0B-BD + g7p2: 80W-B + g7p3: 231W:B + g7p4: 0YB + g7p5: 0B + g7p6: 0B + g7p7: 0BG + g7p8: 0GY + g7p9: 0B + g7p10: 0B + g7p11: 0W + g7p12: 0W + g7p13: 0BD + g7p14: 0BD + g7p15: 0W-BD + g7p16: 0B + g7p17: 0BD + g7p18: 100W:BD + g8p1: 0B-BD + g8p2: 70W-B + g8p3: 152W:B + g8p4: 0YB + g8p5: 0B + g8p6: 0B + g8p7: 0BG + g8p8: 109GY + g8p9: 0B + g8p10: 2B + g8p11: 0W + g8p12: 0W + g8p13: 0PK + g8p14: 5BD + g8p15: 0W-BD + g8p16: 4B + g8p17: 0BD + g8p18: 0W:BD + g9p1: 0B-BD + g9p2: 141W-B + g9p3: 0W:B + g9p4: 0YB + g9p5: 0B + g9p6: 0B + g9p7: 60W + g9p8: 0BG + g9p9: 154GY + g9p10: 0B + g9p11: 29B + g9p12: 30W + g9p13: 17W + g9p14: 12BD + g9p15: 0BD + g9p16: 10W-BD | |
| 2 | ![]() | g1p5 : 90B-GY | 90 | 8 | g10p18: 30W:BD + g11p1: 0B-BD + g11p2: 0W-B + g11p3: 0W:B + g11p4: 0YB + g11p5: 0B + g11p6: 0B + g11p7: 60BG | |
| 3 | ![]() | g1p10 : 97B | 97 | 12 | g10p14: 2BD + g10p15: 0W-BD + g10p16: 5B + g10p17: 0BD + g10p18: 30W:BD + g11p1: 0B-BD + g11p2: 0W-B + g11p3: 0W:B + g11p4: 0YB + g11p5: 0B + g11p6: 0B + g11p7: 60BG | |
| 4 | ![]() | g1p13 : 62BD | 62 | 3 | g5p6: 12B + g5p7: 0GY + g5p8: 50GY | |
| 5 | ![]() | g1p18 : 45B | 45 | 3 | g11p14: 10BD + g11p15: 5W-BD + g11p16: 30B | |
| 6 | ![]() | g1p19 : 3654W:BD | 3654 | 73 | g11p14: 10BD + g11p15: 5W-BD + g11p16: 30B + g11p17: 0BD + g11p18: 1000W:BD + g12p1: 5B-BD + g12p2: 104W-B + g12p3: 203W:B + g12p4: 0YB + g12p5: 1B + g12p6: 11B + g12p7: 0BG + g12p8: 15GY + g12p9: 0B + g12p10: 0B + g12p11: 0W + g12p12: 0W + g12p13: 0BD + g12p14: 10BD + g12p15: 0W-BD + g12p16: 20B + g12p17: 0BD + g12p18: 310W:BD + g13p1: 0B-BD + g13p2: 100W-B + g13p3: 200W:B + g13p4: 0YB + g13p5: 0B + g13p6: 0B + g13p7: 0BG + g13p8: 100GY + g13p9: 0B + g13p10: 0B + g13p11: 0W + g13p12: 0W + g13p13: 0BD + g13p14: 0BD + g13p15: 0W-BD + g13p16: 0B + g13p17: 0BD + g13p18: 100W:BD + g14p1: 0B-BD + g14p2: 100W-B + g14p3: 200W:B + g14p4: 0YB + g14p5: 0B + g14p6: 0B + g14p7: 0BG + g14p8: 10GY + g14p9: 0B + g14p10: 0B + g14p11: 0W + g14p12: 0W + g14p13: 0BD + g14p14: 11BD + g14p15: 0W-B + g14p16: 10B + g14p17: 0BD + g14p18: 700W:BD + g15p1: 0B-BD + g15p2: 80W-B + g15p3: 210W:B + g15p4: 0YB + g15p5: 0B + g15p6: 0B + g15p7: 0BG + g15p8: 100GY + g15p9: 0B + g15p10: 3B + g15p11: 0W + g15p12: 0W + g15p13: 0BD + g15p14: 6BD | |
| 7 | ![]() | g2p2 : 627W-B | 627 | 27 | g6p12: 6W + g6p13: 0BD + g6p14: 2BD + g6p15: 0W-BD + g6p16: 25B + g6p17: 0BD + g6p18: 113W:BD + g7p1: 0B-BD + g7p2: 80W-B + g7p3: 231W:B + g7p4: 0YB + g7p5: 0B + g7p6: 0B + g7p7: 0BG + g7p8: 0GY + g7p9: 0B + g7p10: 0B + g7p11: 0W + g7p12: 0W + g7p13: 0BD + g7p14: 0BD + g7p15: 0W-BD + g7p16: 0B + g7p17: 0BD + g7p18: 100W:BD + g8p1: 0B-BD + g8p2: 70W-B | |
| 8 | ![]() | g2p7 : 13B | 13 | 5 | g6p10: 5B + g6p11: 0W + g6p12: 6W + g6p13: 0BD + g6p14: 2BD | |
| 9 | ![]() | g2p11 : 56B | 56 | 11 | g12p6: 11B + g12p7: 0BG + g12p8: 15GY + g12p9: 0B + g12p10: 0B + g12p11: 0W + g12p12: 0W + g12p13: 0BD + g12p14: 10BD + g12p15: 0W-BD + g12p16: 20B | |
| 10 | ![]() | g2p14 : 27BD | 27 | 3 | g6p14: 2BD + g6p15: 0W-BD + g6p16: 25B | |
| 11 | ![]() | g2p18 : 92B | 92 | 6 | g17p3: 32W:B + g17p4: 0YB + g17p5: 0B + g17p6: 0B + g17p7: 0BG + g17p8: 60GY | |
| 12 | ![]() | g2p20 : 1087W:BD | 1087 | 46 | g7p3: 231W:B + g7p4: 0YB + g7p5: 0B + g7p6: 0B + g7p7: 0BG + g7p8: 0GY + g7p9: 0B + g7p10: 0B + g7p11: 0W + g7p12: 0W + g7p13: 0BD + g7p14: 0BD + g7p15: 0W-BD + g7p16: 0B + g7p17: 0BD + g7p18: 100W:BD + g8p1: 0B-BD + g8p2: 70W-B + g8p3: 152W:B + g8p4: 0YB + g8p5: 0B + g8p6: 0B + g8p7: 0BG + g8p8: 109GY + g8p9: 0B + g8p10: 2B + g8p11: 0W + g8p12: 0W + g8p13: 0PK + g8p14: 5BD + g8p15: 0W-BD + g8p16: 4B + g8p17: 0BD + g8p18: 0W:BD + g9p1: 0B-BD + g9p2: 141W-B + g9p3: 0W:B + g9p4: 0YB + g9p5: 0B + g9p6: 0B + g9p7: 60W + g9p8: 0BG + g9p9: 154GY + g9p10: 0B + g9p11: 29B + g9p12: 30W | |
| 13 | ![]() | g3p2 : 700W-B | 700 | 8 | g9p12: 30W + g9p13: 17W + g9p14: 12BD + g9p15: 0BD + g9p16: 10W-BD + g9p17: 13B + g9p18: 0BD + g9p19: 618W:BD | |
| 14 | ![]() | g3p9 : 400GY | 400 | 7 | g13p2: 100W-B + g13p3: 200W:B + g13p4: 0YB + g13p5: 0B + g13p6: 0B + g13p7: 0BG + g13p8: 100GY | |
| 15 | ![]() | g4p18 : 1000W:BD | 1000 | 33 | g9p12: 30W + g9p13: 17W + g9p14: 12BD + g9p15: 0BD + g9p16: 10W-BD + g9p17: 13B + g9p18: 0BD + g9p19: 618W:BD + g10p1: 0B-BD + g10p2: 22W-B + g10p3: 110W:B + g10p4: 0YB + g10p5: 0B + g10p6: 0B + g10p7: 0BG + g10p8: 57GY + g10p9: 0B + g10p10: 14B + g10p11: 0W + g10p12: 0W + g10p13: 0BD + g10p14: 2BD + g10p15: 0W-BD + g10p16: 5B + g10p17: 0BD + g10p18: 30W:BD + g11p1: 0B-BD + g11p2: 0W-B + g11p3: 0W:B + g11p4: 0YB + g11p5: 0B + g11p6: 0B + g11p7: 60BG | |
| 16 | ![]() | g6p3 : 240W:B | 240 | 17 | g10p2: 22W-B + g10p3: 110W:B + g10p4: 0YB + g10p5: 0B + g10p6: 0B + g10p7: 0BG + g10p8: 57GY + g10p9: 0B + g10p10: 14B + g10p11: 0W + g10p12: 0W + g10p13: 0BD + g10p14: 2BD + g10p15: 0W-BD + g10p16: 5B + g10p17: 0BD + g10p18: 30W:BD | |
| 17 | ![]() | g6p16 : 25B | 25 | 7 | g12p8: 15GY + g12p9: 0B + g12p10: 0B + g12p11: 0W + g12p12: 0W + g12p13: 0BD + g12p14: 10BD | |
| 18 | ![]() | g7p3 : 231W:B | 231 | 14 | g14p3: 200W:B + g14p4: 0YB + g14p5: 0B + g14p6: 0B + g14p7: 0BG + g14p8: 10GY + g14p9: 0B + g14p10: 0B + g14p11: 0W + g14p12: 0W + g14p13: 0BD + g14p14: 11BD + g14p15: 0W-B + g14p16: 10B | |
| 19 | ![]() | g7p18 : 100W:BD | 100 | 15 | g10p18: 30W:BD + g11p1: 0B-BD + g11p2: 0W-B + g11p3: 0W:B + g11p4: 0YB + g11p5: 0B + g11p6: 0B + g11p7: 60BG + g11p8: 0GY + g11p9: 0B + g11p10: 0B + g11p11: 0W + g11p12: 0W + g11p13: 0BD + g11p14: 10BD | |
| 20 | ![]() | g8p2 : 70W-B | 70 | 8 | g11p7: 60BG + g11p8: 0GY + g11p9: 0B + g11p10: 0B + g11p11: 0W + g11p12: 0W + g11p13: 0BD + g11p14: 10BD | |
| 21 | ![]() | g8p3 : 152W:B | 152 | 11 | g8p10: 2B + g8p11: 0W + g8p12: 0W + g8p13: 0PK + g8p14: 5BD + g8p15: 0W-BD + g8p16: 4B + g8p17: 0BD + g8p18: 0W:BD + g9p1: 0B-BD + g9p2: 141W-B | |
| 22 | ![]() | g8p8 : 109GY | 109 | 2 | g12p1: 5B-BD + g12p2: 104W-B | |
| 23 | ![]() | g9p2 : 141W-B | 141 | 7 | g16p9: 100GY + g16p10: 0B + g16p11: 27B + g16p12: 0W + g16p13: 0W + g16p14: 0BD + g16p15: 14BD | |
| 24 | ![]() | g9p14 : 12BD | 12 | 2 | g12p5: 1B + g12p6: 11B | |
| 25 | ![]() | g10p3 : 110W:B | 110 | 18 | g10p16: 5B + g10p17: 0BD + g10p18: 30W:BD + g11p1: 0B-BD + g11p2: 0W-B + g11p3: 0W:B + g11p4: 0YB + g11p5: 0B + g11p6: 0B + g11p7: 60BG + g11p8: 0GY + g11p9: 0B + g11p10: 0B + g11p11: 0W + g11p12: 0W + g11p13: 0BD + g11p14: 10BD + g11p15: 5W-BD | |
| 26 | ![]() | g10p8 : 57GY | 57 | 12 | g12p5: 1B + g12p6: 11B + g12p7: 0BG + g12p8: 15GY + g12p9: 0B + g12p10: 0B + g12p11: 0W + g12p12: 0W + g12p13: 0BD + g12p14: 10BD + g12p15: 0W-BD + g12p16: 20B | |
| 27 | ![]() | g11p16 : 30B | 30 | 3 | g12p14: 10BD + g12p15: 0W-BD + g12p16: 20B | |
| 28 | ![]() | g11p18 : 1000W:BD | 1000 | 6 | g14p16: 10B + g14p17: 0BD + g14p18: 700W:BD + g15p1: 0B-BD + g15p2: 80W-B + g15p3: 210W:B | |
| 29 | ![]() | g12p18 : 310W:BD | 310 | 7 | g14p2: 100W-B + g14p3: 200W:B + g14p4: 0YB + g14p5: 0B + g14p6: 0B + g14p7: 0BG + g14p8: 10GY | |
| 30 | ![]() | g15p3 : 210W:B | 210 | 8 | g16p2: 100W-B + g16p3: 10W:B + g16p4: 0YB + g16p5: 0B + g16p6: 0B + g16p7: 0W + g16p8: 0BG + g16p9: 100GY |
Left Handed Sum Detail: - Click on column name to sort
| # | Color | Sum Schema | Sum Cord | Sum Cord Value | # Summands | Summands |
|---|---|---|---|---|---|---|
| 1 | ![]() | g2p18 : 92B | 92 | 2 | g1p5: 90B-GY + g1p6: 2B | |
| 2 | ![]() | g3p20 : 2667W:BD | 2667 | 5 | g2p19: 30B + g2p20: 1087W:BD + g3p1: 0B-BD + g3p2: 700W-B + g3p3: 850W:B | |
| 3 | ![]() | g4p7 : 40GY | 40 | 6 | g3p14: 30BD + g3p15: 0BD + g3p16: 0W-BD + g3p17: 0W + g3p18: 0W:B + g3p19: 10B | |
| 4 | ![]() | g4p18 : 1000W:BD | 1000 | 4 | g1p7: 24B + g1p8: 0BG + g1p9: 879GY + g1p10: 97B | |
| 5 | ![]() | g5p8 : 50GY | 50 | 2 | g3p7: 10B + g3p8: 40BG | |
| 6 | ![]() | g7p2 : 80W-B | 80 | 9 | g3p11: 40B + g3p12: 0W + g3p13: 0W + g3p14: 30BD + g3p15: 0BD + g3p16: 0W-BD + g3p17: 0W + g3p18: 0W:B + g3p19: 10B | |
| 7 | ![]() | g7p3 : 231W:B | 231 | 11 | g6p10: 5B + g6p11: 0W + g6p12: 6W + g6p13: 0BD + g6p14: 2BD + g6p15: 0W-BD + g6p16: 25B + g6p17: 0BD + g6p18: 113W:BD + g7p1: 0B-BD + g7p2: 80W-B | |
| 8 | ![]() | g8p2 : 70W-B | 70 | 4 | g3p11: 40B + g3p12: 0W + g3p13: 0W + g3p14: 30BD | |
| 9 | ![]() | g9p17 : 13B | 13 | 5 | g6p10: 5B + g6p11: 0W + g6p12: 6W + g6p13: 0BD + g6p14: 2BD | |
| 10 | ![]() | g10p2 : 22W-B | 22 | 3 | g9p14: 12BD + g9p15: 0BD + g9p16: 10W-BD | |
| 11 | ![]() | g10p10 : 14B | 14 | 2 | g2p6: 1B + g2p7: 13B | |
| 12 | ![]() | g11p18 : 1000W:BD | 1000 | 33 | g9p12: 30W + g9p13: 17W + g9p14: 12BD + g9p15: 0BD + g9p16: 10W-BD + g9p17: 13B + g9p18: 0BD + g9p19: 618W:BD + g10p1: 0B-BD + g10p2: 22W-B + g10p3: 110W:B + g10p4: 0YB + g10p5: 0B + g10p6: 0B + g10p7: 0BG + g10p8: 57GY + g10p9: 0B + g10p10: 14B + g10p11: 0W + g10p12: 0W + g10p13: 0BD + g10p14: 2BD + g10p15: 0W-BD + g10p16: 5B + g10p17: 0BD + g10p18: 30W:BD + g11p1: 0B-BD + g11p2: 0W-B + g11p3: 0W:B + g11p4: 0YB + g11p5: 0B + g11p6: 0B + g11p7: 60BG | |
| 13 | ![]() | g12p3 : 203W:B | 203 | 9 | g10p2: 22W-B + g10p3: 110W:B + g10p4: 0YB + g10p5: 0B + g10p6: 0B + g10p7: 0BG + g10p8: 57GY + g10p9: 0B + g10p10: 14B | |
| 14 | ![]() | g12p6 : 11B | 11 | 7 | g8p10: 2B + g8p11: 0W + g8p12: 0W + g8p13: 0PK + g8p14: 5BD + g8p15: 0W-BD + g8p16: 4B | |
| 15 | ![]() | g12p8 : 15GY | 15 | 2 | g11p14: 10BD + g11p15: 5W-BD | |
| 16 | ![]() | g12p18 : 310W:BD | 310 | 31 | g10p2: 22W-B + g10p3: 110W:B + g10p4: 0YB + g10p5: 0B + g10p6: 0B + g10p7: 0BG + g10p8: 57GY + g10p9: 0B + g10p10: 14B + g10p11: 0W + g10p12: 0W + g10p13: 0BD + g10p14: 2BD + g10p15: 0W-BD + g10p16: 5B + g10p17: 0BD + g10p18: 30W:BD + g11p1: 0B-BD + g11p2: 0W-B + g11p3: 0W:B + g11p4: 0YB + g11p5: 0B + g11p6: 0B + g11p7: 60BG + g11p8: 0GY + g11p9: 0B + g11p10: 0B + g11p11: 0W + g11p12: 0W + g11p13: 0BD + g11p14: 10BD | |
| 17 | ![]() | g13p2 : 100W-B | 100 | 15 | g10p18: 30W:BD + g11p1: 0B-BD + g11p2: 0W-B + g11p3: 0W:B + g11p4: 0YB + g11p5: 0B + g11p6: 0B + g11p7: 60BG + g11p8: 0GY + g11p9: 0B + g11p10: 0B + g11p11: 0W + g11p12: 0W + g11p13: 0BD + g11p14: 10BD | |
| 18 | ![]() | g13p3 : 200W:B | 200 | 13 | g5p6: 12B + g5p7: 0GY + g5p8: 50GY + g5p9: 0B + g5p10: 0B + g5p11: 0W + g5p12: 0W + g5p13: 1BD + g5p14: 0BD + g5p15: 0W-BD + g5p16: 24B + g5p17: 0BD + g5p18: 113W:BD | |
| 19 | ![]() | g14p3 : 200W:B | 200 | 3 | g13p18: 100W:BD + g14p1: 0B-BD + g14p2: 100W-B | |
| 20 | ![]() | g14p18 : 700W:BD | 700 | 19 | g13p3: 200W:B + g13p4: 0YB + g13p5: 0B + g13p6: 0B + g13p7: 0BG + g13p8: 100GY + g13p9: 0B + g13p10: 0B + g13p11: 0W + g13p12: 0W + g13p13: 0BD + g13p14: 0BD + g13p15: 0W-BD + g13p16: 0B + g13p17: 0BD + g13p18: 100W:BD + g14p1: 0B-BD + g14p2: 100W-B + g14p3: 200W:B | |
| 21 | ![]() | g15p3 : 210W:B | 210 | 6 | g14p3: 200W:B + g14p4: 0YB + g14p5: 0B + g14p6: 0B + g14p7: 0BG + g14p8: 10GY | |
| 22 | ![]() | g15p18 : 142W:BD | 142 | 21 | g10p14: 2BD + g10p15: 0W-BD + g10p16: 5B + g10p17: 0BD + g10p18: 30W:BD + g11p1: 0B-BD + g11p2: 0W-B + g11p3: 0W:B + g11p4: 0YB + g11p5: 0B + g11p6: 0B + g11p7: 60BG + g11p8: 0GY + g11p9: 0B + g11p10: 0B + g11p11: 0W + g11p12: 0W + g11p13: 0BD + g11p14: 10BD + g11p15: 5W-BD + g11p16: 30B | |
| 23 | ![]() | g16p11 : 27B | 27 | 4 | g12p5: 1B + g12p6: 11B + g12p7: 0BG + g12p8: 15GY | |
| 24 | ![]() | g16p19 : 1050W:BD | 1050 | 6 | g11p14: 10BD + g11p15: 5W-BD + g11p16: 30B + g11p17: 0BD + g11p18: 1000W:BD + g12p1: 5B-BD | |
| 25 | ![]() | g17p18 : 75W:BD | 75 | 9 | g11p7: 60BG + g11p8: 0GY + g11p9: 0B + g11p10: 0B + g11p11: 0W + g11p12: 0W + g11p13: 0BD + g11p14: 10BD + g11p15: 5W-BD |
Khipu Notes:
Ascher Databook Notes:
- By spacing and color patterning, the khipu is separated into 3 parts : part 1 is 3 groups, and parts 2 and 3 are 7 groups each.
- Part 1: Assuming that position 10 in group 1 is non-existent, this part consists of 3 groups of 20 pendants each. The color pattern is the same for all 3 groups (with the exception of position 17 in group 3). In all 3 groups, subsidiaries appear only in positions 3, 8,9, 11, 14, 15, 16, 18, 19, 20.
- Parts 2 and 3:
- Each part is basically 7 groups of 18 pendants. The exceptions of 2 groups with 19 pendants are systematic. The 6th group in each part has an additional W pendant between positions 7 and 8.
- Each group in parts 2 and 3 has the same color pattern (with the exception of position 8 in groups 4 and 5 and position 18 in group 4). The color pattern is the same as in part 1 with the systematic difference that positions 5 and 8 of the part 1 pattern do not exist. Thus, there are 18 pendants in each group in parts 2 and 3 as compared to 20 pendants in each group in part 1. Also, while the color in position 19 of the groups in part 1 are B, in parts 2 and 3, the comparable position is BD.
- Subsidiaries on pendants in parts 2 and 3 are on a subset of the positions they are on in part 1. Namely, subsidiaries are only on positions comparable to positions 9,15,16,18,20 of part 1.
- Many values are uncertain due to breakage. However, we hypothesize that, position by position, values in group 1 of part 1 are related to the sums of values in groups 2 and 3 while values in groups 2 and 3 are related to sums of values in parts 2 and 3 respectively.
























































