UR1096/KH0109 - Colored Pendant Sums

Drawings:

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

Right Handed Sums: # Sums = 4, Max # Summands = 12, (Min, Mean, Max) Sum Values = (14, 27, 60)
Click on Image to View Larger

Left Handed Sums: # Sums = 5, Max # Summands = 6, (Min, Mean, Max) Sum Values = (12, 32, 60)
Click on Image to View Larger

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

#	Sum Cord	Sum Cord Value	# Summands	Summands
1	p7_{2, 1} : 14_W:VB	14	3	p32: 1_W:VB + p34: 1_W:VB + p35: 12_W:VB
2	p14_{4, 1} : 19_W:MB	19	5	p59: 11_W:MB + p60: 1_W:MB + p62: 1_W:MB + p71: 3_W:MB + p72: 3_W:MB
3	p21_{6, 1} : 60_W:MB	60	12	p22: 2_W:MB + p24: 10_W:MB + p25: 2_W:MB + p27: 1_W:MB + p28: 15_W:MB + p36: 2_W:MB + p37: 3_W:MB + p38: 10_W:MB + p57: 1_W:MB + p58: 2_W:MB + p59: 11_W:MB + p60: 1_W:MB
4	p28_{8, 1} : 15_W:MB	15	3	p36: 2_W:MB + p37: 3_W:MB + p38: 10_W:MB

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

#	Sum Cord	Sum Cord Value	# Summands	Summands
1	p21_{6, 1} : 60_W:MB	60	6	p15: 8_W:MB + p16: 4_W:MB + p17: 40_W:MB + p18: 2_W:MB + p19: 3_W:MB + p20: 3_W:MB
2	p28_{8, 1} : 15_W:MB	15	3	p9: 2_W:MB + p10: 12_W:MB + p12: 1_W:MB
3	p35_{10, 1} : 12_W:VB	12	4	p29: 1_W:VB + p31: 9_W:VB + p32: 1_W:VB + p34: 1_W:VB
4	p49_{14, 1} : 45_W	45	5	p43: 5_W + p44: 3_W + p45: 29_W + p46: 4_W + p48: 4_W
5	p56_{16, 1} : 26_W:GG	26	6	p50: 3_W:GG + p51: 4_W:GG + p52: 15_W:GG + p53: 1_W:GG + p54: 2_W:GG + p55: 1_W:GG

Khipu Notes:

Ascher Databook Notes:

AS095 and UR1096 are associated in that they are both designated by the Museum as donated by Gaffron. The provenance is Pachacamac. They are quite dissimilar in construction.
In each group, with the exception of group 6, the pendants and top cord are the same color. In group 6, the first 3 pendants are one color and the last 3 pendants and top cord are all of another color. The subsidiaries do not necessarily match the pendants in color.
Assuming the direction of the pendants are listed correctly, the value on pendant 3 is the maximum in all complete groups. Moreover, in groups 2, 3, and 4, the value on pendant 3 is exactly double the sum of the values on the other pendants in the group.

\[ P_{13}\;≥\;P_{i1}+P_{i2}+P_{i4}+P_{i5}+P_{i6} \;\;\;for\;(i=2,3,4,...,10) \]

\[ P_{13}\;=\;2(P_{i1}+P_{i2}+P_{i4}+P_{i5}+P_{i6})\;\;\;for\;(i=2,3,4) \]
With the exception of a difference of 1 in group 2, the values on the top cords in groups 2-8 are the sums of the values on the pendants in their respective groups. In group 1, there is too much breakage to make a comparison. In groups 9-11, the top cord values are all 0 (or blank) but the pendant sums are not necessarily 0.
The values on the first 4 pendants of group 7 are the sums of the values in the corresponding positions in groups 4-6. That is:

\[ P_{7i}\;=\;\sum\limits_{j=4}^6 P_{ji}\;\;\;for\;(i=1,2,3,4) \]
The packet containing the fragments of this khipu does not appear as of 6/20/2005 to contain all the fragments noted. Due to this fact, as well as the fragility of the sample, the knot directions have only been recorded for Fragment 2 (cords 19-T8).
Ascher gives no measurements for lengths of cords or fragments for khipu UR1096. To preserve the linearity of the khipu for database entry, cord lengths have been assigned arbitrarily with the following criteria:,
1. Each group of 6 cords is 3 cm long (0.5 cm per cord);
2. Each group of 6 cords is separated from the next group by 1 cm;
3. Each fragment of the khipu is separated from the next fragment by 2 cm.8. The main cord consisted of 4 fragments.