AS129/KH0144 - Ascher Sum Fieldmarks

Fieldmark	Fieldmark XRay
AS129
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 2 groups of 7 pendants each. Both groups have the same color pattern: MB, EB, B, MB: W, B: W, W, W. With the exception of the first position, values in both groups are in the same relative order. Specifically: P_i7 > P_i2 > P_i4 > P_i3 > P_i5 > P_i6 for i=(1, 2) With the exception of the 6th position, the values of group 2 are greater than those in corresponding positions in group 1. P_2j > P_1j for j=(1, 2...,5,7) The last value in group 1 is the sum of 3 other values in the group: P₁₇ = P₁₁ + P₁₃ + P₁₆ a) Two pairs of values in group 1 have the same sum. In both pairs, the values are 3 positions apart. P₁₁ + P₁₄ = P₁₃ + P₁₆ b) With a discrepancy of 1, the sum is the same for a pair of values in corresponding positions in both groups. P₁₃ + P₁₆ ≈ P₂₃ + P₂₆

Fieldmark

Fieldmark XRay

AS129

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 2 groups of 7 pendants each. Both groups have the same color pattern: MB, EB, B, MB: W, B: W, W, W.
With the exception of the first position, values in both groups are in the same relative order. Specifically:
P_i7 > P_i2 > P_i4 > P_i3 > P_i5 > P_i6 for i=(1, 2)
With the exception of the 6th position, the values of group 2 are greater than those in corresponding positions in group 1.
P_2j > P_1j for j=(1, 2...,5,7)
The last value in group 1 is the sum of 3 other values in the group:
P₁₇ = P₁₁ + P₁₃ + P₁₆
a) Two pairs of values in group 1 have the same sum. In both pairs, the values are 3 positions apart.
P₁₁ + P₁₄ = P₁₃ + P₁₆

b) With a discrepancy of 1, the sum is the same for a pair of values in corresponding positions in both groups.
P₁₃ + P₁₆ ≈ P₂₃ + P₂₆