UR1143/KH0159 - 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 = 3, Max # Summands = 4, (Min, Mean, Max) Sum Values = (18504, 46320, 97357)
Click on Image to View Larger

Right Handed Sum Detail: - Click on column name to sort

#	Sum Cord	Sum Cord Value	# Summands	Summands
1	p2_{1, 2} : 18504_YG:BB	18504	4	p7: 2026_YG:BB + p11: 4156_YG:BB + p15: 8220_YG:BB + p20: 4102_YG:BB
2	p3_{1, 3} : 97357_B	97357	4	p8: 10856_B + p12: 22469_B + p16: 41883_B + p21: 22149_B
3	p5_{1, 5} : 23098_YG	23098	4	p9: 2511_YG + p13: 5343_YG + p18: 9528_YG + p22: 5716_YG

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 2 parts. The first part is 5 groups of 4 or 5 pendants each and the second part is 4 groups of 2 pendants each.
In part 1:
1. Each group has the same 5-color pattern: B:YG, BB:YG, B, BB,YG. Where there are only 4 pendants, it is the 4th position that is non-existent.
2. The values in the first group are the sums, position by position, of the values in the other 4 groups.
  \[ P_{1j} = \sum\limits_{i=2}^{5} P_{ij}\;\;\;for\;j=(1,2,3,4,5) \]
3. The values within each group have the same relative magnitudes. Specifically
  
  P_i3 > P_i1 > P_i5 > P_i2 > P_i4 for i=(1,2,3,4,5)
4. From group to group, corresponding positions have the same relative magnitudes. With 1 exception
  
  P_1j > P_4j > P_3j ≥ P_5j > P_2j for j=(1,2,3,4,5)
In part 2:
1. Each group has the same 2-color pattern: B:YG, BB:YG. These are the first 2 colors of the 5-color pattern of part 1.
2. Every value is less than the values in part 1.
The value on pendant 3 (97357) is probably the largest value on any khipu in this Databook.