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**
UR1103/KH0117 - Pendant Pendant Sum
**

**Drawings:**

**Right Handed Sums:**

*# Sums*= 1,

*Max # Summands*= 4,

*(Min, Mean, Max) Sum Values*= (163, 163, 163)

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**Left Handed Sums:**

*# Sums*= 3,

*Max # Summands*= 5,

*(Min, Mean, Max) Sum Values*= (200, 268, 394)

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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, 9} : 163_{W} | 163 | 4 | p25: 20_{CB} + p26: 52_{LB} + p27: 18_{CB} + p28: 73_{LB} |

**Left Handed Sum Detail:**-

*Click on column name to sort*

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

1 | p38_{5, 7} : 200_{LB} | 200 | 5 | p22: 60_{LB} + p23: 26_{CB} + p24: 42_{LB} + p25: 20_{CB} + p26: 52_{LB} | ||

2 | p39_{5, 8} : 210_{CB} | 210 | 5 | p25: 20_{CB} + p26: 52_{LB} + p27: 18_{CB} + p28: 73_{LB} + p29: 47_{CB} | ||

3 | p41_{5, 10} : 394_{CB} | 394 | 3 | p20: 271_{LB} + p21: 63_{CB} + p22: 60_{LB} |

**Khipu Notes:**

**Ascher Databook Notes:**

- The end of the main cord has been formed into a loop by bending it back on itself and binding it in place. Two pendants are suspended from the end loop.
- This is one of several khipus acquired by the Museum in 1907 with provenance Ica. For a list of these khipus, see UR1100.
- This khipu has also been discussed by Nordenskiold(see Introduction)
- By spacing, the khipu is separated into 2 end cords, 1 group of 5 pendants, and then 3 groups of 12 pendants each. With 1 exception, each of the pendants in groups 1, 3, and 4 have 1 subsidiary each.
- Each group has an alternating color pattern: the pendants in group 1 alternate LB, B with all subsidiaries CB; group 2 pendants alternate W, CB; group 3 alternates LB (with a W subsidiary), CB (with a CB subsidiary); and group 4 alternates LB (with a B subsidiary), CB (with a CB subsidiary).
- Thirteen percent of the values on the khipu are multiples of 18. In particular, 1/3 of the values in group 2 are multiples of 18, and 18 2 appears on the khipu 3 times.
- The values of groups 1 and 2 are related to, but not exactly, the sums of values in groups 3 and 4.
- The sum of the pendant values in group 2 â‰ˆ sum of pendant and subsidiary values in groups 3 and 4. (The group 2 sum is low by 24 or 0.5%).
- The sum of the LB colored pendants in group 1 â‰ˆ sum of the LB pendants in groups 3 and 4. (The group 1 sum is low by 8 or0.4%).
- The sum of all pendant and subsidiary values in group 1 â‰ˆ sum of all pendant and subsidiary values in groups 3 and 4. (The group 1 sum is high by 486, which is 1 more than the value of the first pendant in group 4.)
- In 2 positions, values i n group 2 are sums of values on the corresponding pendant and subsidiary in group 3 and the pendant in group 4. Namely:

\[ P_{2i}\;=\;P_{3i}+P_{3i}s1+P_{4i}\;\;\;for\;i=(7,9) \]

- The values on the 2 end cords are related to the sum of the values in groups 3 and 4. Again, 1 of the 2 is inexact.
- The value of Pl = sum of pendant and subsidiary values in group 3.
- The value of P2 â‰ˆ sum of pendant and subsidiary values in group 4. The P2 value is low by 17 or 0.5%)

- By virtue of observations #8 and #7a, the end cords could be related to the values in group 2. That is:
- The value of P1+P2 â‰ˆ sum of pendant values in group 2. (The group 2 sum is low by 7 or 0.2%)