UR1126/KH0141 - Pendant Pendant Sums

Drawings:

Overview	Detail View
All Khipus' Ascher Sum Fieldmarks	Right-Handed XRay
All Pendant 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 = 3, Max # Summands = 2, (Min, Mean, Max) Sum Values = (50, 51, 52)
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Left Handed Sums: # Sums = 11, Max # Summands = 8, (Min, Mean, Max) Sum Values = (22, 81, 214)
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Right Handed Sum Detail: - Click on column name to sort

#	Sum Cord	Sum Cord Value	# Summands	Summands
1	p74_{15, 3} : 50_W-CB	50	2	p77: 20_W-DB + p78: 30_W-DB
2	p75_{15, 4} : 52_W-CB	52	2	p79: 30_W-DB + p80: 22_W-DB
3	p90_{21, 4} : 50_W-B	50	2	p93: 10_W:DB + p94: 40_W-GG

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

#	Sum Cord	Sum Cord Value	# Summands	Summands
1	p70_{13, 4} : 65_W-CB	65	4	p36: 21_W-CB + p37: 12_W-CB + p38: 20_W-CB + p39: 12_W-CB
2	p75_{15, 4} : 52_W-CB	52	3	p62: 20_W-DB + p63: 12_W-DB + p64: 20_W-DB
3	p80_{17, 4} : 22_W-DB	22	2	p53: 11_CB + p54: 11_CB
4	p82_{19, 1} : 40_W-CB	40	2	p46: 20_CB + p47: 20_CB
5	p84_{19, 3} : 50_W-CB	50	2	p77: 20_W-DB + p78: 30_W-DB
6	p85_{19, 4} : 53_W-CB	53	3	p57: 21_W-DB + p58: 20_W-DB + p59: 12_W-DB
7	p92_{23, 1} : 60_W-GG	60	2	p78: 30_W-DB + p79: 30_W-DB
8	p99_{24, 2} : 115_GG-DB	115	3	p70: 65_W-CB + p71: 0_B + p72: 50_W-CB
9	p100_{24, 3} : 153_GG-DB	153	5	p85: 53_W-CB + p86: 0_CB + p87: 30_W-B + p88: 40_W-B + p89: 30_W-B
10	p101_{24, 4} : 62_GG-DB	62	3	p80: 22_W-DB + p81: 0_CB + p82: 40_W-CB
11	p103_{24, 6} : 214_GG-DB	214	8	p62: 20_W-DB + p63: 12_W-DB + p64: 20_W-DB + p65: 12_W-DB + p66: 0_B + p67: 50_W-CB + p68: 50_W-CB + p69: 50_W-CB

Khipu Notes:

Ascher Databook Notes:

This is one of several khipus acquired by the Museum in 1907 with provance Ica. For a list of them, see UR1100.
By spacing, the khipu is separated into 3 parts. By spaces smaller than that between the parts and by markers, part 1 is separated into 6 groups of 10 pendants each, and part 2 is 6 groups of 4 pendants each (with 2 additional pendants in the last group). Part 3 is 1 group of 6 pendants.
Each group is unified by color. In part 1: group 1 is CB-W or CB-B; groups 2 and 6 are DB-W; groups 3 and 4 are CB-W; and group 5 is CB. The markers between them are short B cords. In part 2: groups 1, 2, and 4 are CB-W; group 3 is DB-W; and group 5 is B-W. In group 6, 4 of the pendants are GG-W and 2 additional pendants (1 between positions 1 and 2, and the other between positions 2 and 3) are DB:W. In part 3, with the exception of the first pendant, the group is DB-GG.
In part 1 (assuming that the missing P27 had value 20):
1. The only pendant values are 11, 12, 20, and 21 and the subsidiary values are 0 or 1.
2. The 60 pendant values sum to 1000.
3. All the values in corresponding positions are the same for groups 1, 2, 3, and 4. With the exception of the interchange of values in positions 2 and 3, the values in group 6 are also the same.
In part 2 (assuming that the missing P74 had value 40):
1. The only pendant values in positions 1-3 of all groups are 20, 30, 40, 50, 60.
2. The sum of the values in each of the first 3 positions in the 6 groups is 250.
That is:

\[ \sum\limits_{i=1}^6 P_{i1}=\sum\limits_{i=1}^6 P_{i2}=\sum\limits_{i=1}^6 P_{i3}= 250 \]