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UR1145/KH0161 - Colored Pendant Sum
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**Drawings:**

**Right Handed Sums:**

*# Sums*= 1,

*Max # Summands*= 3,

*(Min, Mean, Max) Sum Values*= (34, 34, 34)

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**Left Handed Sums:**

*# Sums*= 1,

*Max # Summands*= 5,

*(Min, Mean, Max) Sum Values*= (21, 21, 21)

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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 | p16_{3, 7} : 34_{DB} | 34 | 3 | p25: 7_{DB} + p26: 15_{DB} + p27: 12_{DB} |

**Left Handed Sum Detail:**-

*Click on column name to sort*

# | Color | Sum Schema | Sum Cord | Sum Cord Value | # Summands | Summands |
---|---|---|---|---|---|---|

1 | p79_{9, 5} : 21_{LC} | 21 | 5 | p33: 2_{LC} + p35: 4_{LC} + p37: 2_{LC} + p39: 7_{LC} + p43: 6_{LC} |

**Khipu Notes:**

**Ascher Databook Notes:**

- A pendant fragment stored with the khipu was assumed to be part of pendant 37. Pendant 37 is broken at 16.0 cm.
- A pendant fragment stored with the khipu was assumed to be part of subsidiary 84s1 The subsidiary is broken at 10.5 cm.
- This is one of several khipus acquired by the Museum in 1907 with provenance Pachacamac. For a list of them, see UR1097.
- By spacing and color patterning, the khipu is separated in to 3 parts. The first part is one pair of pendants; the second is 4 groups of 7 pendants each; and the last part is 4 groups of 14 or 16 pendants each.
- The khipu has 2 different knot cluster arrangements. One is the standard arrangement involving single knot clusters and long knot clusters. The other arrangement is only long knot clusters in one or more of 3 distinct positions on a cord. For convenience, call the former S and the latter N. The S and N arrangements are alternated on the khipu. In part 2, pendants in groups 1 and 3 are all N while in groups 2 and 4, they are all S. In part 3, within each group, the pendants alternate N, S, N, S, etc. The color patterning reinforces the alternation: in part 2, in groups 1 and 3, all pendants are B and in groups 2 and 4, they are DB; in part 3, in the first 2 groups, the colors alternate LC, DB-W, and in the next 2 groups, they alternate LC or B, DB-W. Thus, the knot arrangements and colors alternate together so that the N arrangement is associated with B or LC and the S arrangement with DB or DB-W.
- Some of the values on the pendants in groups 1 and 3 of part 2 sum to each other. Two relationships are repeated for pendants 3 positions apart. Namely:

P_{3i}+ P_{3,i+1}= P_{1i}for i=(1,4)

P_{3i}+ P_{1i}= 2 P_{3,i-1}for i=(4,7)