UR1175/KH0192 - Colored Pendant Sums
Drawings:
Right Handed Sums: # Sums = 30, Max # Summands = 10, (Min, Mean, Max) Sum Values = (12, 76, 290)
Click on Image to View Larger
Left Handed Sums: # Sums = 20, Max # Summands = 8, (Min, Mean, Max) Sum Values = (12, 78, 290)
Click on Image to View Larger
Right Handed Sum Detail: - Click on column name to sort
| # | Color | Sum Schema | Sum Cord | Sum Cord Value | # Summands | Summands |
|---|---|---|---|---|---|---|
| 1 |  | p11, 1 : 26LB | 26 | 3 | p71: 5LB + p76: 11LB + p81: 10LB | |
| 2 |  | p21, 2 : 160YG | 160 | 4 | p162: 16YG + p167: 30YG + p172: 54YG + p177: 60YG | |
| 3 |  | p52, 1 : 21W | 21 | 5 | p150: 6W + p155: 3W + p160: 3W + p165: 3W + p170: 6W | |
| 4 |  | p62, 2 : 26LB | 26 | 3 | p71: 5LB + p76: 11LB + p81: 10LB | |
| 5 |  | p103, 1 : 25W | 25 | 7 | p140: 2W + p145: 2W + p150: 6W + p155: 3W + p160: 3W + p165: 3W + p170: 6W | |
| 6 |  | p113, 2 : 35LB | 35 | 3 | p191: 20LB + p196: 10LB + p201: 5LB | |
| 7 |  | p133, 4 : 100YG | 100 | 3 | p162: 16YG + p167: 30YG + p172: 54YG | |
| 8 |  | p154, 1 : 23W | 23 | 6 | p145: 2W + p150: 6W + p155: 3W + p160: 3W + p165: 3W + p170: 6W | |
| 9 |  | p205, 1 : 36W | 36 | 4 | p165: 3W + p170: 6W + p175: 17W + p180: 10W | |
| 10 |  | p215, 2 : 33LB | 33 | 5 | p46: 5LB + p51: 10LB + p56: 10LB + p66: 3LB + p71: 5LB | |
| 11 |  | p225, 3 : 122YG | 122 | 3 | p182: 29YG + p187: 58YG + p192: 35YG | |
| 12 |  | p256, 1 : 12W | 12 | 3 | p150: 6W + p155: 3W + p160: 3W | |
| 13 |  | p307, 1 : 85W | 85 | 10 | p155: 3W + p160: 3W + p165: 3W + p170: 6W + p175: 17W + p180: 10W + p185: 10W + p190: 8W + p195: 12W + p200: 13W | |
| 14 |  | p358, 1 : 66W | 66 | 7 | p165: 3W + p170: 6W + p175: 17W + p180: 10W + p185: 10W + p190: 8W + p195: 12W | |
| 15 |  | p378, 3 : 129YG | 129 | 3 | p187: 58YG + p192: 35YG + p197: 36YG | |
| 16 |  | p4510, 1 : 12W | 12 | 3 | p150: 6W + p155: 3W + p160: 3W | |
| 17 |  | p5011, 1 : 13W | 13 | 4 | p125: 5W + p130: 4W + p135: 2W + p140: 2W | |
| 18 |  | p5712, 3 : 290YG | 290 | 4 | p82: 100YG + p87: 120YG + p92: 40YG + p97: 30YG | |
| 19 |  | p6013, 1 : 62W | 62 | 10 | p140: 2W + p145: 2W + p150: 6W + p155: 3W + p160: 3W + p165: 3W + p170: 6W + p175: 17W + p180: 10W + p185: 10W | |
| 20 |  | p6514, 1 : 30W | 30 | 3 | p185: 10W + p190: 8W + p195: 12W | |
| 21 |  | p7015, 1 : 31W | 31 | 9 | p130: 4W + p135: 2W + p140: 2W + p145: 2W + p150: 6W + p155: 3W + p160: 3W + p165: 3W + p170: 6W | |
| 22 |  | p8217, 3 : 100YG | 100 | 3 | p162: 16YG + p167: 30YG + p172: 54YG | |
| 23 |  | p9920, 5 : 46YB:0G | 46 | 3 | p139: 12YB:0G + p174: 16YB:0G + p179: 18YB:0G | |
| 24 |  | p10622, 2 : 35LB | 35 | 3 | p191: 20LB + p196: 10LB + p201: 5LB | |
| 25 |  | p10822, 4 : 200YB | 200 | 3 | p189: 60YB + p218: 50YB + p223: 90YB | |
| 26 |  | p11023, 1 : 108W | 108 | 10 | p115: 75W + p120: 6W + p125: 5W + p130: 4W + p135: 2W + p140: 2W + p145: 2W + p150: 6W + p155: 3W + p160: 3W | |
| 27 |  | p11323, 4 : 250YB | 250 | 3 | p128: 50YB + p138: 100YB + p143: 100YB | |
| 28 |  | p11524, 1 : 75W | 75 | 3 | p195: 12W + p200: 13W + p210: 50W | |
| 29 |  | p11624, 2 : 66LB | 66 | 7 | p171: 3LB + p176: 4LB + p181: 12LB + p186: 12LB + p191: 20LB + p196: 10LB + p201: 5LB | |
| 30 |  | p12726, 3 : 65YG | 65 | 4 | p147: 40YG + p152: 6YG + p157: 3YG + p162: 16YG |
Left Handed Sum Detail: - Click on column name to sort
| # | Color | Sum Schema | Sum Cord | Sum Cord Value | # Summands | Summands |
|---|---|---|---|---|---|---|
| 1 |  | p5712, 3 : 290YG | 290 | 3 | p27: 82YG + p32: 79YG + p37: 129YG | |
| 2 |  | p6514, 1 : 30W | 30 | 3 | p45: 12W + p50: 13W + p55: 5W | |
| 3 |  | p9419, 5 : 42YB:0G | 42 | 3 | p29: 9YB:0G + p39: 11YB:0G + p44: 22YB:0G | |
| 4 |  | p10822, 4 : 200YB | 200 | 3 | p58: 100YB + p68: 50YB + p73: 50YB | |
| 5 |  | p11123, 2 : 36LB | 36 | 4 | p71: 5LB + p76: 11LB + p81: 10LB + p86: 10LB | |
| 6 |  | p11323, 4 : 250YB | 250 | 3 | p53: 100YB + p58: 100YB + p68: 50YB | |
| 7 |  | p11624, 2 : 66LB | 66 | 4 | p76: 11LB + p81: 10LB + p86: 10LB + p106: 35LB | |
| 8 |  | p17536, 1 : 17W | 17 | 3 | p80: 4W + p85: 3W + p90: 10W | |
| 9 |  | p18437, 5 : 60YB:0G | 60 | 3 | p64: 20YB:0G + p69: 20YB:0G + p74: 20YB:0G | |
| 10 |  | p19139, 2 : 20LB | 20 | 3 | p136: 7LB + p141: 6LB + p146: 7LB | |
| 11 |  | p19439, 5 : 94YB:0G | 94 | 3 | p174: 16YB:0G + p179: 18YB:0G + p184: 60YB:0G | |
| 12 |  | p19540, 1 : 12W | 12 | 3 | p150: 6W + p155: 3W + p160: 3W | |
| 13 |  | p20041, 1 : 13W | 13 | 4 | p125: 5W + p130: 4W + p135: 2W + p140: 2W | |
| 14 |  | p20942, 5 : 49YB:0G | 49 | 3 | p44: 22YB:0G + p49: 6YB:0G + p54: 21YB:0G | |
| 15 |  | p21043, 1 : 50W | 50 | 8 | p145: 2W + p150: 6W + p155: 3W + p160: 3W + p165: 3W + p170: 6W + p175: 17W + p180: 10W | |
| 16 |  | p21143, 2 : 40LB | 40 | 5 | p31: 11LB + p36: 11LB + p41: 3LB + p46: 5LB + p51: 10LB | |
| 17 |  | p21544, 1 : 70W | 70 | 6 | p175: 17W + p180: 10W + p185: 10W + p190: 8W + p195: 12W + p200: 13W | |
| 18 |  | p21644, 2 : 40LB | 40 | 5 | p31: 11LB + p36: 11LB + p41: 3LB + p46: 5LB + p51: 10LB | |
| 19 |  | p21744, 3 : 140YG | 140 | 5 | p142: 75YG + p147: 40YG + p152: 6YG + p157: 3YG + p162: 16YG | |
| 20 |  | p22045, 1 : 50W | 50 | 8 | p145: 2W + p150: 6W + p155: 3W + p160: 3W + p165: 3W + p170: 6W + p175: 17W + p180: 10W |
Khipu Notes:
Ascher Databook Notes:
- This is one of several khipus acquired by the Museum in 1907 with provenance Pachacamac. For a list of them, see UR1097.
- By spacing, the khipu is separated into 45 groups of 5 pendants each. There is a larger space after every 3rd group and a still larger space between the 21st and 22nd groups and the 24th and 25th groups. Thus, the khipu is in 3 parts: part 1 is 7 sets of 3 groups each; part 2 is 1 set of 3 groups; and part 3 is 7 sets of 3 groups.
- All groups in part 1 have the same color pattern: W (with a W subsidiary); LB (with an LB subsidiary); YG; YB; YB: 0G. Groups in parts 2 and 3 have the same pattern for the first 3 pendant positions and then vary in one or both of the last 2 positions. Calling the colors in the part 1 pattern C1-C5, the color patterns are summarized in Table 1.
TABLE 1
Part 1 (groups 1-21) C1 C2 C3 C4 C5 Part 2 (groups 1-3) C1 C2 C3 C4 C4 Part 3 (groups 1-5) C1 C2 C3 C2 C5 Part 3 (groups 6-8) C1 C2 C3 C2 C4 Part 3 (groups 9-21) C1 C2 C3 C4 C4
In all groups, there is at least one subsidiary on pendants 1 and 2 (a W and an LB respectively) and no subsidiaries on the other positions. Additional subsidiaries on the first 2 positions are, with one exception, KB:W or LB-W.
- In parts 1 and 3, many values are repeated in the same position in consecutive groups or in the same position 2 groups later. The former can be represented as:,
Pij= Pi+1,j and the latter as Pij = Pi+2,jIn part 1, these hold in 20 and 12 places respectively; in part 2 in no places; and in part 3 in 27 and 18 places.
- The values in part 2 are related to the sums of values in part 3. Position by position, values in group 1 of part 2 are related to the sums of values in the first groups in each of the 7 sets in part 3; group 2 values are related to sums of values in the second groups of each of the sets; and group 3 values to the sums of values of the third group. That is:
\[ P_{2ij}= \sum\limits_{k=0}^{6} P_{3,3k+i,j}\;\;\;for\;j=(1,2,...5),\;\; i=(1,2,3) \]This represents 15 sums and 105 values being summed. Of the 15 values in part 2, 8 are exactly these sums (or off by 1 in 1 digit); 5 are exact sums of only some of the 7 pendants:
Example: P211 = P341 + P3,10,1 + P3,13,1 + P3,16,1 + P3,19,1 thus omitting P311 and P371
and 2 are less than the sums but cannot be associated with a specific subset of the 7 pendants. (Note that the main cord is broken and so there could have been another part prior to part 1 that summed its values.