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UR1120/KH0134 - Colored Pendant Sum
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**Drawings:**

**Right Handed Sums:**

*# Sums*= 4,

*Max # Summands*= 3,

*(Min, Mean, Max) Sum Values*= (1068, 28223, 43372)

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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 | p1_{1, 1} : 25691_{GG} | 25691 | 3 | p9: 8731_{GG} + p17: 11730_{GG} + p25: 5230_{GG} | ||

2 | p2_{1, 2} : 1068_{B:LB} | 1068 | 3 | p10: 362_{B:LB} + p18: 457_{B:LB} + p26: 249_{B:LB} | ||

3 | p3_{1, 3} : 42760_{LB} | 42760 | 3 | p11: 14743_{LB} + p19: 18053_{LB} + p27: 9964_{LB} | ||

4 | p8_{1, 8} : 43372_{W:GG} | 43372 | 3 | p16: 14701_{W:GG} + p24: 18475_{W:GG} + p32: 10196_{W:GG} |

**Khipu Notes:**

**Ascher Databook Notes:**

- This is one of several khipus acquired by the Museum in 1907 with provenance Ica. For a list of them, see UR1100.
- By spacing, the khipu is separated into 4 groups of 8 pendants each. The color pattern for each group is the same (with the minor exception that pendants 7 and 8 in group 4 are B:GG and B/B-GG rather than the B-GG and B/B:GG of similar positions). In each group, there is one subsidiary on position 3 and it is the color of the pendant to which it is attached.
- The values in group 1 are the sums of the values of groups 2-4, position by position (with a discrepancy of 1 in the 4th position). The value on the subsidiary on position 3 in group 1 is also the sum of the values of the subsidiaries on position 3 in groups 2-4. Thus:

\[ \sum\limits_{i=2}^4 P_{ij} = P_{1j}\;\;\;\;\;for\;\;j=(1,2,...,8) \] - The ratios of the corresponding values is surprisingly consistent. For j =2,..., 8 and the position 3 subsidiary value:

p_{2j}/P_{1j}= 0.342 max. deviation 1.2%

p_{3j}/P_{1j}= 0.425 max. deviation 0.7%

p_{4j}/P_{1j}= 0.235 max. deviation 0.9%

The values on the exceptional position ( i=1) in the different groups, counterbalance each other. If 796 were subtracted from position 1 in group 3 and added to position 1 in group 4, the values in position 1 would also satisfy the above ratios.