KH0192/UR1175, AS175 - Subsidiary Pendant Sums
Drawings:
Right Handed Sums: # Sums = 26, Max # Summands = 8, (Min, Mean, Max) Sum Values = (22, 48, 160)
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Note! Duplicate right subsidiary pendant sums exist on one pendant - ['p106s1', 'p110s1', 'p110s3', 'p111s1', 'p116s1', 'p11s1', 'p15s1', 'p1s1', 'p20s1', 'p21s1', 'p26s1', 'p30s1', 'p35s1', 'p36s1', 'p41s1', 'p51s1', 'p56s1', 'p5s1', 'p60s1', 'p65s1', 'p66s1', 'p6s1', 'p70s1', 'p71s1', 'p86s1', 'p91s1']
Left Handed Sums: # Sums = 8, Max # Summands = 6, (Min, Mean, Max) Sum Values = (14, 33, 68)
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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 |  | g1p1s1 : 160LB | 160 | 3 | g17p2: 10LB + g17p3: 100YG + g17p4: 50YB | |
| 2 |  | g2p1s1 : 39W | 39 | 3 | g9p5: 22YB:0G + g10p1: 12W + g10p2: 5LB | |
| 3 |  | g2p2s1 : 55LB | 55 | 4 | g30p1: 2W + g30p2: 7LB + g30p3: 40YG + g31p1: 6W | |
| 4 |  | g3p2s1 : 72LB | 72 | 3 | g26p1: 5W + g26p2: 2LB + g26p3: 65YG | |
| 5 |  | g4p1s1 : 22W | 22 | 4 | g31p3: 6YG + g32p1: 3W + g32p2: 10LB + g32p3: 3YG | |
| 6 |  | g5p1s1 : 24W | 24 | 3 | g10p2: 5LB + g10p5: 6YB:0G + g11p1: 13W | |
| 7 |  | g5p2s1 : 51LB | 51 | 3 | g30p3: 40YG + g31p1: 6W + g31p2: 5LB | |
| 8 |  | g6p2s1 : 36LB | 36 | 4 | g10p1: 12W + g10p2: 5LB + g10p5: 6YB:0G + g11p1: 13W | |
| 9 |  | g7p1s1 : 43W | 43 | 3 | g34p5: 34YB + g35p1: 6W + g35p2: 3LB | |
| 10 |  | g8p1s1 : 39W | 39 | 3 | g9p5: 22YB:0G + g10p1: 12W + g10p2: 5LB | |
| 11 |  | g8p2s1 : 62LB | 62 | 6 | g32p2: 10LB + g32p3: 3YG + g33p1: 3W + g33p2: 10LB + g33p3: 16YG + g33p5: 20YB | |
| 12 |  | g9p2s1 : 26LB | 26 | 4 | g32p2: 10LB + g32p3: 3YG + g33p1: 3W + g33p2: 10LB | |
| 13 |  | g11p2s1 : 71LB | 71 | 8 | g31p3: 6YG + g32p1: 3W + g32p2: 10LB + g32p3: 3YG + g33p1: 3W + g33p2: 10LB + g33p3: 16YG + g33p5: 20YB | |
| 14 |  | g12p2s1 : 43LB | 43 | 3 | g34p5: 34YB + g35p1: 6W + g35p2: 3LB | |
| 15 |  | g13p1s1 : 25W | 25 | 5 | g31p3: 6YG + g32p1: 3W + g32p2: 10LB + g32p3: 3YG + g33p1: 3W | |
| 16 |  | g14p1s1 : 24W | 24 | 4 | g31p2: 5LB + g31p3: 6YG + g32p1: 3W + g32p2: 10LB | |
| 17 |  | g14p2s1 : 24LB | 24 | 4 | g31p2: 5LB + g31p3: 6YG + g32p1: 3W + g32p2: 10LB | |
| 18 |  | g15p1s1 : 27W | 27 | 5 | g31p2: 5LB + g31p3: 6YG + g32p1: 3W + g32p2: 10LB + g32p3: 3YG | |
| 19 |  | g15p2s1 : 29LB | 29 | 3 | g33p1: 3W + g33p2: 10LB + g33p3: 16YG | |
| 20 |  | g18p2s1 : 25LB | 25 | 5 | g31p3: 6YG + g32p1: 3W + g32p2: 10LB + g32p3: 3YG + g33p1: 3W | |
| 21 |  | g19p2s1 : 46LB | 46 | 3 | g33p2: 10LB + g33p3: 16YG + g33p5: 20YB | |
| 22 |  | g22p2s1 : 72LB | 72 | 3 | g26p1: 5W + g26p2: 2LB + g26p3: 65YG | |
| 23 |  | g23p1s1 : 51W | 51 | 3 | g30p3: 40YG + g31p1: 6W + g31p2: 5LB | |
| 24 |  | g23p2s1 : 66LB | 66 | 6 | g30p1: 2W + g30p2: 7LB + g30p3: 40YG + g31p1: 6W + g31p2: 5LB + g31p3: 6YG | |
| 25 |  | g23p1s3 : 46W:KB | 46 | 3 | g33p2: 10LB + g33p3: 16YG + g33p5: 20YB | |
| 26 |  | g24p2s1 : 68LB | 68 | 8 | g32p1: 3W + g32p2: 10LB + g32p3: 3YG + g33p1: 3W + g33p2: 10LB + g33p3: 16YG + g33p5: 20YB + g34p1: 3W |
Left Handed Sum Detail: - Click on column name to sort
| # | Color | Sum Schema | Sum Cord | Sum Cord Value | # Summands | Summands |
|---|---|---|---|---|---|---|
| 1 |  | g14p1s1 : 24W | 24 | 3 | g10p2: 5LB + g10p5: 6YB:0G + g11p1: 13W | |
| 2 |  | g14p2s1 : 24LB | 24 | 3 | g10p2: 5LB + g10p5: 6YB:0G + g11p1: 13W | |
| 3 |  | g15p2s1 : 29LB | 29 | 3 | g10p5: 6YB:0G + g11p1: 13W + g11p2: 10LB | |
| 4 |  | g19p2s1 : 46LB | 46 | 5 | g10p1: 12W + g10p2: 5LB + g10p5: 6YB:0G + g11p1: 13W + g11p2: 10LB | |
| 5 |  | g23p1s3 : 46W:KB | 46 | 5 | g10p1: 12W + g10p2: 5LB + g10p5: 6YB:0G + g11p1: 13W + g11p2: 10LB | |
| 6 |  | g24p2s1 : 68LB | 68 | 6 | g9p5: 22YB:0G + g10p1: 12W + g10p2: 5LB + g10p5: 6YB:0G + g11p1: 13W + g11p2: 10LB | |
| 7 |  | g36p2s1 : 14LB | 14 | 3 | g31p2: 5LB + g31p3: 6YG + g32p1: 3W | |
| 8 |  | g44p2s1 : 14LB | 14 | 3 | g31p2: 5LB + g31p3: 6YG + g32p1: 3W |
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.