UR1140/KH0156 - 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 = 35, Max # Summands = 6, (Min, Mean, Max) Sum Values = (21, 57, 114)
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Left Handed Sums: # Sums = 30, Max # Summands = 7, (Min, Mean, Max) Sum Values = (21, 52, 114)
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Right Handed Sum Detail: - Click on column name to sort

#	Sum Cord	Sum Cord Value	# Summands	Summands
1	p9_{1, 9} : 96_B	96	3	p161: 37_B + p162: 14_B + p163: 45_B
2	p18_{2, 9} : 91_B	91	4	p92: 10_B + p95: 31_B + p96: 30_B + p97: 20_B
3	p27_{3, 9} : 95_B	95	5	p162: 14_B + p163: 45_B + p164: 4_B + p167: 11_B + p168: 21_B
4	p36_{4, 9} : 90_B	90	3	p153: 12_B + p154: 70_B + p155: 8_B
5	p37_{5, 1} : 34_B	34	3	p122: 6_B + p123: 18_B + p124: 10_B
6	p38_{5, 2} : 32_B	32	3	p173: 4_B + p176: 13_B + p177: 15_B
7	p45_{5, 9} : 98_B	98	3	p54: 79_B + p55: 9_B + p56: 10_B
8	p46_{6, 1} : 32_B	32	3	p173: 4_B + p176: 13_B + p177: 15_B
9	p47_{6, 2} : 36_B	36	3	p164: 4_B + p167: 11_B + p168: 21_B
10	p63_{7, 9} : 93_B	93	4	p115: 12_B + p116: 32_B + p117: 15_B + p118: 34_B
11	p67_{8, 4} : 36_B	36	3	p164: 4_B + p167: 11_B + p168: 21_B
12	p72_{8, 9} : 93_B	93	4	p115: 12_B + p116: 32_B + p117: 15_B + p118: 34_B
13	p74_{9, 2} : 41_B	41	3	p142: 3_B + p143: 27_B + p144: 11_B
14	p76_{9, 4} : 45_B	45	3	p146: 7_B + p149: 20_B + p150: 18_B
15	p81_{9, 9} : 98_B	98	6	p122: 6_B + p123: 18_B + p124: 10_B + p125: 6_B + p126: 5_B + p127: 53_B
16	p84_{10, 3} : 28_B	28	3	p119: 4_B + p122: 6_B + p123: 18_B
17	p85_{10, 4} : 43_B	43	3	p110: 6_B + p113: 16_B + p114: 21_B
18	p86_{10, 5} : 35_B	35	3	p151: 11_B + p152: 12_B + p153: 12_B
19	p90_{10, 9} : 96_B	96	3	p161: 37_B + p162: 14_B + p163: 45_B
20	p91_{11, 1} : 114_B	114	5	p114: 21_B + p115: 12_B + p116: 32_B + p117: 15_B + p118: 34_B
21	p98_{11, 8} : 69_B	69	4	p128: 8_B + p131: 25_B + p132: 24_B + p133: 12_B
22	p99_{11, 9} : 35_B	35	3	p151: 11_B + p152: 12_B + p153: 12_B
23	p100_{12, 1} : 63_B	63	3	p162: 14_B + p163: 45_B + p164: 4_B
24	p107_{12, 8} : 61_B	61	3	p131: 25_B + p132: 24_B + p133: 12_B
25	p109_{13, 1} : 53_B	53	3	p117: 15_B + p118: 34_B + p119: 4_B
26	p114_{13, 6} : 21_B	21	3	p124: 10_B + p125: 6_B + p126: 5_B
27	p116_{13, 8} : 32_B	32	3	p173: 4_B + p176: 13_B + p177: 15_B
28	p118_{14, 1} : 34_B	34	3	p122: 6_B + p123: 18_B + p124: 10_B
29	p127_{15, 1} : 53_B	53	4	p150: 18_B + p151: 11_B + p152: 12_B + p153: 12_B
30	p132_{15, 6} : 24_B	24	3	p169: 4_B + p170: 16_B + p171: 4_B
31	p145_{17, 1} : 56_B	56	3	p158: 23_B + p159: 20_B + p160: 13_B
32	p154_{18, 1} : 70_B	70	3	p159: 20_B + p160: 13_B + p161: 37_B
33	p161_{18, 8} : 37_B	37	3	p176: 13_B + p177: 15_B + p178: 9_B
34	p163_{19, 1} : 45_B	45	3	p172: 28_B + p173: 4_B + p176: 13_B
35	p172_{20, 1} : 28_B	28	3	p178: 9_B + p179: 11_B + p180: 8_B

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

#	Sum Cord	Sum Cord Value	# Summands	Summands
1	p18_{2, 9} : 91_B	91	6	p11: 15_B + p12: 20_B + p13: 10_B + p14: 22_B + p15: 7_B + p16: 17_B
2	p27_{3, 9} : 95_B	95	7	p11: 15_B + p12: 20_B + p13: 10_B + p14: 22_B + p15: 7_B + p16: 17_B + p17: 4_B
3	p47_{6, 2} : 36_B	36	3	p5: 12_B + p6: 14_B + p7: 10_B
4	p54_{6, 9} : 79_B	79	6	p2: 13_B + p3: 8_B + p4: 22_B + p5: 12_B + p6: 14_B + p7: 10_B
5	p67_{8, 4} : 36_B	36	3	p5: 12_B + p6: 14_B + p7: 10_B
6	p74_{9, 2} : 41_B	41	3	p31: 15_B + p32: 11_B + p33: 15_B
7	p76_{9, 4} : 45_B	45	3	p11: 15_B + p12: 20_B + p13: 10_B
8	p81_{9, 9} : 98_B	98	3	p54: 79_B + p55: 9_B + p56: 10_B
9	p82_{10, 1} : 31_B	31	3	p58: 18_B + p59: 11_B + p62: 2_B
10	p84_{10, 3} : 28_B	28	3	p6: 14_B + p7: 10_B + p8: 4_B
11	p85_{10, 4} : 43_B	43	3	p2: 13_B + p3: 8_B + p4: 22_B
12	p86_{10, 5} : 35_B	35	3	p55: 9_B + p56: 10_B + p57: 16_B
13	p90_{10, 9} : 96_B	96	4	p22: 19_B + p23: 29_B + p24: 18_B + p25: 30_B
14	p91_{11, 1} : 114_B	114	4	p54: 79_B + p55: 9_B + p56: 10_B + p57: 16_B
15	p95_{11, 5} : 31_B	31	3	p58: 18_B + p59: 11_B + p62: 2_B
16	p98_{11, 8} : 69_B	69	5	p2: 13_B + p3: 8_B + p4: 22_B + p5: 12_B + p6: 14_B
17	p99_{11, 9} : 35_B	35	3	p55: 9_B + p56: 10_B + p57: 16_B
18	p107_{12, 8} : 61_B	61	4	p30: 20_B + p31: 15_B + p32: 11_B + p33: 15_B
19	p109_{13, 1} : 53_B	53	4	p55: 9_B + p56: 10_B + p57: 16_B + p58: 18_B
20	p127_{15, 1} : 53_B	53	3	p117: 15_B + p118: 34_B + p119: 4_B
21	p132_{15, 6} : 24_B	24	3	p1: 3_B + p2: 13_B + p3: 8_B
22	p134_{15, 8} : 21_B	21	3	p124: 10_B + p125: 6_B + p126: 5_B
23	p135_{15, 9} : 21_B	21	3	p124: 10_B + p125: 6_B + p126: 5_B
24	p136_{16, 1} : 75_B	75	3	p109: 53_B + p110: 6_B + p113: 16_B
25	p145_{17, 1} : 56_B	56	4	p3: 8_B + p4: 22_B + p5: 12_B + p6: 14_B
26	p154_{18, 1} : 70_B	70	6	p3: 8_B + p4: 22_B + p5: 12_B + p6: 14_B + p7: 10_B + p8: 4_B
27	p161_{18, 8} : 37_B	37	3	p32: 11_B + p33: 15_B + p34: 11_B
28	p163_{19, 1} : 45_B	45	3	p11: 15_B + p12: 20_B + p13: 10_B
29	p168_{19, 6} : 21_B	21	3	p124: 10_B + p125: 6_B + p126: 5_B
30	p172_{20, 1} : 28_B	28	3	p6: 14_B + p7: 10_B + p8: 4_B

Khipu Notes:

Ashok Khosla Notes:
This khipu has been entered with a strange nonconsecutive numbering scheme, indicating either the clusters are off, or the pendants are misnumbered. Investigation into the databook is warranted.

Ascher Databook Notes:

The khipu is attached to a carved wooden bar.
UR1136 and UR1140 were acquired by the Museum in 1904. The provenance is given as Nasca. For a comparison of them, see UR1136.
UR1140 is discussed by Nordenskiold (see Introduction) .A photograph of it appears in Schmidt, Max, 1929, Kunst und Kultur von Peru, Impropyläen-Verlagzu, Berlin.
The way in which the bar is threaded separates the khipu into 2 parts each containing 10 groups of 9 pendants each

Note: The pendant order on the listing proceeds from one end of the bar to the other, goes around the end, and continues on the other side. However, similar color and number patterns are found in both parts if the pendants are read instead from one end of the bar to the other, and then beginning at the original end on the other side of the bar. We will, therefore, refer to the pendants and groups on side 2 as if following the second scenario. Part 1 is pendants 1--->90 and references to the j^th pendant in the i^th group correspond to pendant 9 (i-1) +j. Part 2 is pendants 180--->91 and references to the j^th pendant in the i^th group correspond to pendant 190-9i-j.

By color, each part is separated into 2 subparts of 6 groups and 4 groups respectively. Each group has the same color pattern: 5 B, 2 mixed, 2 B. In the first 6 groups in part 1, the 2 mixed cords are B:BB/B, and in the last 4 groups they are B:BB. In the first 6 groups in part 2, the 2 mixed cords are B:BB, and in the last 4 groups they are B:G.
Subsidiaries are only on the last pendant in each group in part 1. All are BB.
In all groups in both parts:
1. The last pendant in each group has the maximum value.
2. With the exception of group 10 in part 1, the value on pendant 7 is always great than the value on pendant 8.
Within part 1:
1. For the 6 groups of the first subpart, the sum of the values in the 5th position equals the sum of the values in the 4th position. That is:
  
  \[ \sum\limits_{i=1}^{6} P_{i5} = \sum\limits_{i=1}^{6} P_{i6} \]
2. For the 4 groups of the second subpart, the sum of the values in the first position equals the sum of the values in the second position.
  
  \[ \sum\limits_{i=7}^{10} P_{i1} = \sum\limits_{i=7}^{10} P_{i2} \]
3. Excluding the last pendant in each group, the sum of the values in the first group equals the sum of the values in the corresponding group in the second subpart (group 7).
  
  \[ \sum\limits_{j=1}^{8} P_{1j} = \sum\limits_{j=1}^{8} P_{7j} \]