UR1103/KH0117 - Pendant Pendant Sums


Drawings:
Overview Detail View
All Khipus' Ascher Sum FieldmarksRight-Handed XRay
All Pendant Pendant Sum RelationshipsLeft-Handed XRay
This Khipu's Fieldmark CatalogRight-Handed Sum Detail
This Khipu's DrawingLeft-Handed Sum Detail

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
p163, 9 : 163W1634p25: 20CB + p26: 52LB + p27: 18CB + p28: 73LB

Left Handed Sum Detail: - Click on column name to sort
# Color Sum Schema Sum Cord Sum Cord Value # Summands Summands
1
p385, 7 : 200LB2005p22: 60LB + p23: 26CB + p24: 42LB + p25: 20CB + p26: 52LB
2
p395, 8 : 210CB2105p25: 20CB + p26: 52LB + p27: 18CB + p28: 73LB + p29: 47CB
3
p415, 10 : 394CB3943p20: 271LB + p21: 63CB + p22: 60LB

Khipu Notes:
Ascher Databook Notes:
  1. 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.
  2. This is one of several khipus acquired by the Museum in 1907 with provenance Ica. For a list of these khipus, see UR1100.
  3. This khipu has also been discussed by Nordenskiold(see Introduction)
  4. 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.
  5. 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).
  6. 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.
  7. The values of groups 1 and 2 are related to, but not exactly, the sums of values in groups 3 and 4.
    1. The sum of the pendant values in group 2 ≈ sum of pendant and subsidiary values in groups 3 and 4. (The group 2 sum is low by 24 or 0.5%).
    2. The sum of the LB colored pendants in group 1 ≈ sum of the LB pendants in groups 3 and 4. (The group 1 sum is low by 8 or0.4%).
    3. The sum of all pendant and subsidiary values in group 1 ≈ 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.)
    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:
      \[ P_{2i}\;=\;P_{3i}+P_{3i}s1+P_{4i}\;\;\;for\;i=(7,9) \]
  8. 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.
    1. The value of Pl = sum of pendant and subsidiary values in group 3.
    2. The value of P2 ≈ sum of pendant and subsidiary values in group 4. The P2 value is low by 17 or 0.5%)
  9. By virtue of observations #8 and #7a, the end cords could be related to the values in group 2. That is:
    1. The value of P1+P2 ≈ sum of pendant values in group 2. (The group 2 sum is low by 7 or 0.2%)