KH0192/UR1175, AS175 - Colored Pendant Sums
Drawings:
Right Handed Sums: # Sums = 28, Max # Summands = 10, (Min, Mean, Max) Sum Values = (12, 77, 290)
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Left Handed Sums: # Sums = 20, Max # Summands = 8, (Min, Mean, Max) Sum Values = (12, 78, 290)
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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 |  | g1p1 : 26LB | 26 | 3 | g15p2: 5LB + g16p2: 11LB + g17p2: 10LB | |
| 2 |  | g1p2 : 160YG | 160 | 4 | g33p3: 16YG + g34p3: 30YG + g35p3: 54YG + g36p3: 60YG | |
| 3 |  | g2p1 : 21W | 21 | 5 | g31p1: 6W + g32p1: 3W + g33p1: 3W + g34p1: 3W + g35p1: 6W | |
| 4 |  | g2p2 : 26LB | 26 | 3 | g15p2: 5LB + g16p2: 11LB + g17p2: 10LB | |
| 5 |  | g3p1 : 25W | 25 | 7 | g29p1: 2W + g30p1: 2W + g31p1: 6W + g32p1: 3W + g33p1: 3W + g34p1: 3W + g35p1: 6W | |
| 6 |  | g3p2 : 35LB | 35 | 3 | g39p2: 20LB + g40p2: 10LB + g41p2: 5LB | |
| 7 |  | g4p1 : 23W | 23 | 6 | g30p1: 2W + g31p1: 6W + g32p1: 3W + g33p1: 3W + g34p1: 3W + g35p1: 6W | |
| 8 |  | g5p1 : 36W | 36 | 4 | g34p1: 3W + g35p1: 6W + g36p1: 17W + g37p1: 10W | |
| 9 |  | g5p3 : 122YG | 122 | 3 | g37p3: 29YG + g38p3: 58YG + g39p3: 35YG | |
| 10 |  | g6p1 : 12W | 12 | 3 | g31p1: 6W + g32p1: 3W + g33p1: 3W | |
| 11 |  | g7p1 : 85W | 85 | 10 | g32p1: 3W + g33p1: 3W + g34p1: 3W + g35p1: 6W + g36p1: 17W + g37p1: 10W + g38p1: 10W + g39p1: 8W + g40p1: 12W + g41p1: 13W | |
| 12 |  | g8p1 : 66W | 66 | 7 | g34p1: 3W + g35p1: 6W + g36p1: 17W + g37p1: 10W + g38p1: 10W + g39p1: 8W + g40p1: 12W | |
| 13 |  | g8p3 : 129YG | 129 | 3 | g38p3: 58YG + g39p3: 35YG + g40p3: 36YG | |
| 14 |  | g10p1 : 12W | 12 | 3 | g31p1: 6W + g32p1: 3W + g33p1: 3W | |
| 15 |  | g11p1 : 13W | 13 | 4 | g26p1: 5W + g27p1: 4W + g28p1: 2W + g29p1: 2W | |
| 16 |  | g12p3 : 290YG | 290 | 4 | g17p3: 100YG + g18p3: 120YG + g19p3: 40YG + g20p3: 30YG | |
| 17 |  | g13p1 : 62W | 62 | 10 | g29p1: 2W + g30p1: 2W + g31p1: 6W + g32p1: 3W + g33p1: 3W + g34p1: 3W + g35p1: 6W + g36p1: 17W + g37p1: 10W + g38p1: 10W | |
| 18 |  | g14p1 : 30W | 30 | 3 | g38p1: 10W + g39p1: 8W + g40p1: 12W | |
| 19 |  | g15p1 : 31W | 31 | 9 | g27p1: 4W + g28p1: 2W + g29p1: 2W + g30p1: 2W + g31p1: 6W + g32p1: 3W + g33p1: 3W + g34p1: 3W + g35p1: 6W | |
| 20 |  | g17p3 : 100YG | 100 | 3 | g33p3: 16YG + g34p3: 30YG + g35p3: 54YG | |
| 21 |  | g20p5 : 46YB:0G | 46 | 3 | g28p5: 12YB:0G + g35p5: 16YB:0G + g36p5: 18YB:0G | |
| 22 |  | g22p2 : 35LB | 35 | 3 | g39p2: 20LB + g40p2: 10LB + g41p2: 5LB | |
| 23 |  | g22p4 : 200YB | 200 | 3 | g38p5: 60YB + g44p4: 50YB + g45p4: 90YB | |
| 24 |  | g23p1 : 108W | 108 | 10 | g24p1: 75W + g25p1: 6W + g26p1: 5W + g27p1: 4W + g28p1: 2W + g29p1: 2W + g30p1: 2W + g31p1: 6W + g32p1: 3W + g33p1: 3W | |
| 25 |  | g23p4 : 250YB | 250 | 3 | g26p4: 50YB + g28p4: 100YB + g29p4: 100YB | |
| 26 |  | g24p1 : 75W | 75 | 3 | g40p1: 12W + g41p1: 13W + g43p1: 50W | |
| 27 |  | g24p2 : 66LB | 66 | 7 | g35p2: 3LB + g36p2: 4LB + g37p2: 12LB + g38p2: 12LB + g39p2: 20LB + g40p2: 10LB + g41p2: 5LB | |
| 28 |  | g26p3 : 65YG | 65 | 4 | g30p3: 40YG + g31p3: 6YG + g32p3: 3YG + g33p3: 16YG |
Left Handed Sum Detail: - Click on column name to sort
| # | Color | Sum Schema | Sum Cord | Sum Cord Value | # Summands | Summands |
|---|---|---|---|---|---|---|
| 1 |  | g12p3 : 290YG | 290 | 3 | g6p3: 82YG + g7p3: 79YG + g8p3: 129YG | |
| 2 |  | g14p1 : 30W | 30 | 3 | g10p1: 12W + g11p1: 13W + g12p1: 5W | |
| 3 |  | g19p5 : 42YB:0G | 42 | 3 | g6p5: 9YB:0G + g8p5: 11YB:0G + g9p5: 22YB:0G | |
| 4 |  | g22p4 : 200YB | 200 | 3 | g12p4: 100YB + g14p4: 50YB + g15p4: 50YB | |
| 5 |  | g23p2 : 36LB | 36 | 4 | g15p2: 5LB + g16p2: 11LB + g17p2: 10LB + g18p2: 10LB | |
| 6 |  | g23p4 : 250YB | 250 | 3 | g11p4: 100YB + g12p4: 100YB + g14p4: 50YB | |
| 7 |  | g24p2 : 66LB | 66 | 4 | g16p2: 11LB + g17p2: 10LB + g18p2: 10LB + g22p2: 35LB | |
| 8 |  | g36p1 : 17W | 17 | 3 | g17p1: 4W + g18p1: 3W + g19p1: 10W | |
| 9 |  | g37p5 : 60YB:0G | 60 | 3 | g13p5: 20YB:0G + g14p5: 20YB:0G + g15p5: 20YB:0G | |
| 10 |  | g39p2 : 20LB | 20 | 3 | g10p2: 5LB + g11p2: 10LB + g12p2: 5LB | |
| 11 |  | g39p5 : 94YB:0G | 94 | 3 | g35p5: 16YB:0G + g36p5: 18YB:0G + g37p5: 60YB:0G | |
| 12 |  | g40p1 : 12W | 12 | 3 | g31p1: 6W + g32p1: 3W + g33p1: 3W | |
| 13 |  | g41p1 : 13W | 13 | 4 | g26p1: 5W + g27p1: 4W + g28p1: 2W + g29p1: 2W | |
| 14 |  | g42p5 : 49YB:0G | 49 | 3 | g9p5: 22YB:0G + g10p5: 6YB:0G + g11p5: 21YB:0G | |
| 15 |  | g43p1 : 50W | 50 | 8 | g30p1: 2W + g31p1: 6W + g32p1: 3W + g33p1: 3W + g34p1: 3W + g35p1: 6W + g36p1: 17W + g37p1: 10W | |
| 16 |  | g43p2 : 40LB | 40 | 5 | g7p2: 11LB + g8p2: 11LB + g9p2: 3LB + g10p2: 5LB + g11p2: 10LB | |
| 17 |  | g44p1 : 70W | 70 | 6 | g36p1: 17W + g37p1: 10W + g38p1: 10W + g39p1: 8W + g40p1: 12W + g41p1: 13W | |
| 18 |  | g44p2 : 40LB | 40 | 5 | g7p2: 11LB + g8p2: 11LB + g9p2: 3LB + g10p2: 5LB + g11p2: 10LB | |
| 19 |  | g44p3 : 140YG | 140 | 5 | g29p3: 75YG + g30p3: 40YG + g31p3: 6YG + g32p3: 3YG + g33p3: 16YG | |
| 20 |  | g45p1 : 50W | 50 | 8 | g30p1: 2W + g31p1: 6W + g32p1: 3W + g33p1: 3W + g34p1: 3W + g35p1: 6W + g36p1: 17W + g37p1: 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 KH0110.
- 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.