UR1120/KH0134 - Colored Pendant Sums

Drawings:

Overview	Detail View
All Khipus' Ascher Sum Fieldmarks	Right-Handed XRay
All Colored Pendant Sum Relationships	Right-Handed Sum Detail
This Khipu's Fieldmark Catalog	Khipu Notes
This Khipu's Drawing

Right Handed Sums: # Sums = 4, Max # Summands = 3, (Min, Mean, Max) Sum Values = (1068, 28223, 43372)
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Right Handed Sum Detail: - Click on column name to sort

#	Sum Cord	Sum Cord Value	# Summands	Summands
1	p1_{1, 1} : 25691_GG	25691	3	p9: 8731_GG + p17: 11730_GG + p25: 5230_GG
2	p2_{1, 2} : 1068_B:LB	1068	3	p10: 362_B:LB + p18: 457_B:LB + p26: 249_B:LB
3	p3_{1, 3} : 42760_LB	42760	3	p11: 14743_LB + p19: 18053_LB + p27: 9964_LB
4	p8_{1, 8} : 43372_W:GG	43372	3	p16: 14701_W:GG + p24: 18475_W:GG + p32: 10196_W:GG

Khipu 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 4 groups of 8 pendants each. The color pattern for each group is the same (with the minor exception that pendants 7 and 8 in group 4 are B:GG and B/B-GG rather than the B-GG and B/B:GG of similar positions). In each group, there is one subsidiary on position 3 and it is the color of the pendant to which it is attached.
The values in group 1 are the sums of the values of groups 2-4, position by position (with a discrepancy of 1 in the 4th position). The value on the subsidiary on position 3 in group 1 is also the sum of the values of the subsidiaries on position 3 in groups 2-4. Thus:

\[ \sum\limits_{i=2}^4 P_{ij} = P_{1j}\;\;\;\;\;for\;\;j=(1,2,...,8) \]
The ratios of the corresponding values is surprisingly consistent. For j =2,..., 8 and the position 3 subsidiary value:

p_2j/P_1j = 0.342 max. deviation 1.2%
p_3j/P_1j = 0.425 max. deviation 0.7%
p_4j/P_1j = 0.235 max. deviation 0.9%

The values on the exceptional position ( i=1) in the different groups, counterbalance each other. If 796 were subtracted from position 1 in group 3 and added to position 1 in group 4, the values in position 1 would also satisfy the above ratios.