UR1148/KH0164 - Indexed Pendant Sums


Drawings:

Right Handed Sums:     # Sums = 2,  Max # Summands = 4,   (Min, Mean, Max) Sum Values = (281, 804, 1327)
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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
p11, 1 : 1327B13274p5: 563LC + p7: 371LC + p9: 198LC + p11: 195B:LB
2
p158, 1 : 281B2812p17: 156B:LB + p19: 125B

Khipu Notes:
Ascher Databook Notes:
  1. UR1147-UR1149 are associated in that they were all designated by the same Museum number. They were acquired by the Museum in 1907 with provenance Ocucaje. For a comparison of them, see UR1147.
  2. By spacing, the khipu is separated into 3 parts. Part 1 is 2 pairs of pendants and parts 2 and 3 are eac h 4 pairs of pendants.
  3. The values in part 1 are the sums of values in parts 2 and 3. Assuming that the value of P2 is 2061 and the value of P13 is 379, with an exception of 1 in 1 digit, the first pair in part 1 are the sums, position by position, of the pairs in part 2, and the second pair in part 1 are the sums of the pairs in part 3, Namely:
    \[ \sum\limits_{i=1}^{4} P_{2ij} = P_{11j}\;\;\;for\;j=(1,2) \]
    \[ \sum\limits_{i=1}^{4} P_{3ij} = P_{12j}\;\;\;for\;j=(1,2) \]
    where Pkij is the value of the pendant in the jth position of the ith group of the kth part.
  4. In all 10 pairs, the value of the second pendant is larger than the first. It is also larger than the first value in the next pair. Thus:

    P2i > P2i-1 i=(1,...,10) and
    P2i > P2i+1 i=(1,...,9)

    where Pi is the value of the ith pendant on the khipu.