UR1175/KH0192 - Pendant Pendant Sums


Drawings:
Overview Detail View
All Khipus' Ascher Sum FieldmarksRight-Handed XRay
All Pendant Pendant Sum RelationshipsLeft-Handed XRay
This Khipu's Fieldmark CatalogRight-Handed Sum Detail
This Khipu's DrawingLeft-Handed Sum Detail

Right Handed Sums:     # Sums = 58,  Max # Summands = 23,   (Min, Mean, Max) Sum Values = (11, 86, 445)
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Left Handed Sums:     # Sums = 45,  Max # Summands = 14,   (Min, Mean, Max) Sum Values = (11, 89, 445)
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Right Handed Sum Detail: - Click on column name to sort
# Color Sum Schema Sum Cord Sum Cord Value # Summands Summands
1
p21, 2 : 160YG1603p81: 10LB + p82: 100YG + p83: 50YB
2
p62, 2 : 26LB262p54: 21YB:0G + p55: 5W
3
p103, 1 : 25W259p152: 6YG + p153: 0LB + p154: 0YB + p155: 3W + p156: 10LB + p157: 3YG + p158: 0YB + p159: 0YB:0G + p160: 3W
4
p154, 1 : 23W235p45: 12W + p46: 5LB + p47: 0YG + p48: 0YB + p49: 6YB:0G
5
p174, 3 : 77YG772p35: 66W + p36: 11LB
6
p205, 1 : 36W366p45: 12W + p46: 5LB + p47: 0YG + p48: 0YB + p49: 6YB:0G + p50: 13W
7
p215, 2 : 33LB332p65: 30W + p66: 3LB
8
p225, 3 : 122YG1222p43: 100YB + p44: 22YB:0G
9
p245, 5 : 50YB:0G503p50: 13W + p51: 10LB + p52: 27YG
10
p276, 3 : 82YG823p92: 40YG + p93: 0YB + p94: 42YB:0G
11
p286, 4 : 58YB587p44: 22YB:0G + p45: 12W + p46: 5LB + p47: 0YG + p48: 0YB + p49: 6YB:0G + p50: 13W
12
p327, 3 : 79YG793p39: 11YB:0G + p40: 65W + p41: 3LB
13
p378, 3 : 129YG1293p70: 31W + p71: 5LB + p72: 93YG
14
p398, 5 : 11YB:0G114p46: 5LB + p47: 0YG + p48: 0YB + p49: 6YB:0G
15
p429, 3 : 139YG1394p43: 100YB + p44: 22YB:0G + p45: 12W + p46: 5LB
16
p449, 5 : 22YB:0G226p152: 6YG + p153: 0LB + p154: 0YB + p155: 3W + p156: 10LB + p157: 3YG
17
p5011, 1 : 13W132p85: 3W + p86: 10LB
18
p5211, 3 : 27YG277p151: 5LB + p152: 6YG + p153: 0LB + p154: 0YB + p155: 3W + p156: 10LB + p157: 3YG
19
p5411, 5 : 21YB:0G212p175: 17W + p176: 4LB
20
p5712, 3 : 290YG29023p139: 12YB:0G + p140: 2W + p141: 6LB + p142: 75YG + p143: 100YB + p144: 0YB:0G + p145: 2W + p146: 7LB + p147: 40YG + p148: 0LB + p149: 0YB + p150: 6W + p151: 5LB + p152: 6YG + p153: 0LB + p154: 0YB + p155: 3W + p156: 10LB + p157: 3YG + p158: 0YB + p159: 0YB:0G + p160: 3W + p161: 10LB
21
p5912, 5 : 55YB:0G556p145: 2W + p146: 7LB + p147: 40YG + p148: 0LB + p149: 0YB + p150: 6W
22
p6013, 1 : 62W6213p150: 6W + p151: 5LB + p152: 6YG + p153: 0LB + p154: 0YB + p155: 3W + p156: 10LB + p157: 3YG + p158: 0YB + p159: 0YB:0G + p160: 3W + p161: 10LB + p162: 16YG
23
p6213, 3 : 177YG1775p72: 93YG + p73: 50YB + p74: 20YB:0G + p75: 3W + p76: 11LB
24
p6714, 3 : 86YG863p97: 30YG + p98: 10YB + p99: 46YB:0G
25
p7215, 3 : 93YG9316p146: 7LB + p147: 40YG + p148: 0LB + p149: 0YB + p150: 6W + p151: 5LB + p152: 6YG + p153: 0LB + p154: 0YB + p155: 3W + p156: 10LB + p157: 3YG + p158: 0YB + p159: 0YB:0G + p160: 3W + p161: 10LB
26
p7616, 2 : 11LB112p150: 6W + p151: 5LB
27
p7716, 3 : 85YG856p120: 6W + p121: 4LB + p122: 70YG + p123: 0LB + p124: 0YB:0G + p125: 5W
28
p8317, 4 : 50YB503p90: 10W + p91: 0LB + p92: 40YG
29
p8417, 5 : 20YB:0G203p139: 12YB:0G + p140: 2W + p141: 6LB
30
p8718, 3 : 120YG1204p138: 100YB + p139: 12YB:0G + p140: 2W + p141: 6LB
31
p8918, 5 : 13YB:0G132p155: 3W + p156: 10LB
32
p9219, 3 : 40YG402p97: 30YG + p98: 10YB
33
p9419, 5 : 42YB:0G427p156: 10LB + p157: 3YG + p158: 0YB + p159: 0YB:0G + p160: 3W + p161: 10LB + p162: 16YG
34
p9720, 3 : 30YG307p150: 6W + p151: 5LB + p152: 6YG + p153: 0LB + p154: 0YB + p155: 3W + p156: 10LB
35
p9920, 5 : 46YB:0G464p147: 40YG + p148: 0LB + p149: 0YB + p150: 6W
36
p10221, 3 : 138YG1384p177: 60YG + p178: 50YB + p179: 18YB:0G + p180: 10W
37
p10421, 5 : 78YB:0G783p178: 50YB + p179: 18YB:0G + p180: 10W
38
p10522, 1 : 77W775p122: 70YG + p123: 0LB + p124: 0YB:0G + p125: 5W + p126: 2LB
39
p10622, 2 : 35LB3510p152: 6YG + p153: 0LB + p154: 0YB + p155: 3W + p156: 10LB + p157: 3YG + p158: 0YB + p159: 0YB:0G + p160: 3W + p161: 10LB
40
p10722, 3 : 268YG26821p140: 2W + p141: 6LB + p142: 75YG + p143: 100YB + p144: 0YB:0G + p145: 2W + p146: 7LB + p147: 40YG + p148: 0LB + p149: 0YB + p150: 6W + p151: 5LB + p152: 6YG + p153: 0LB + p154: 0YB + p155: 3W + p156: 10LB + p157: 3YG + p158: 0YB + p159: 0YB:0G + p160: 3W
41
p10822, 4 : 200YB20010p121: 4LB + p122: 70YG + p123: 0LB + p124: 0YB:0G + p125: 5W + p126: 2LB + p127: 65YG + p128: 50YB + p129: 0YB:0G + p130: 4W
42
p11123, 2 : 36LB3611p150: 6W + p151: 5LB + p152: 6YG + p153: 0LB + p154: 0YB + p155: 3W + p156: 10LB + p157: 3YG + p158: 0YB + p159: 0YB:0G + p160: 3W
43
p11223, 3 : 445YG44516p184: 60YB:0G + p185: 10W + p186: 12LB + p187: 58YG + p188: 0YB + p189: 60YB + p190: 8W + p191: 20LB + p192: 35YG + p193: 0YB + p194: 94YB:0G + p195: 12W + p196: 10LB + p197: 36YG + p198: 0YB + p199: 30YB:0G
44
p11323, 4 : 250YB25012p139: 12YB:0G + p140: 2W + p141: 6LB + p142: 75YG + p143: 100YB + p144: 0YB:0G + p145: 2W + p146: 7LB + p147: 40YG + p148: 0LB + p149: 0YB + p150: 6W
45
p11423, 5 : 96YB966p202: 35YG + p203: 0YB + p204: 20YB:0G + p205: 0W + p206: 0LB + p207: 41YG
46
p11524, 1 : 75W754p122: 70YG + p123: 0LB + p124: 0YB:0G + p125: 5W
47
p11624, 2 : 66LB668p145: 2W + p146: 7LB + p147: 40YG + p148: 0LB + p149: 0YB + p150: 6W + p151: 5LB + p152: 6YG
48
p11824, 4 : 86YB8615p147: 40YG + p148: 0LB + p149: 0YB + p150: 6W + p151: 5LB + p152: 6YG + p153: 0LB + p154: 0YB + p155: 3W + p156: 10LB + p157: 3YG + p158: 0YB + p159: 0YB:0G + p160: 3W + p161: 10LB
49
p11924, 5 : 192YB:0G1927p122: 70YG + p123: 0LB + p124: 0YB:0G + p125: 5W + p126: 2LB + p127: 65YG + p128: 50YB
50
p12225, 3 : 70YG7010p147: 40YG + p148: 0LB + p149: 0YB + p150: 6W + p151: 5LB + p152: 6YG + p153: 0LB + p154: 0YB + p155: 3W + p156: 10LB
51
p12726, 3 : 65YG6510p155: 3W + p156: 10LB + p157: 3YG + p158: 0YB + p159: 0YB:0G + p160: 3W + p161: 10LB + p162: 16YG + p163: 0YB + p164: 20YB
52
p13728, 3 : 80YG8012p146: 7LB + p147: 40YG + p148: 0LB + p149: 0YB + p150: 6W + p151: 5LB + p152: 6YG + p153: 0LB + p154: 0YB + p155: 3W + p156: 10LB + p157: 3YG
53
p14329, 4 : 100YB1003p218: 50YB + p219: 0YB:0G + p220: 50W
54
p14730, 3 : 40YG4011p151: 5LB + p152: 6YG + p153: 0LB + p154: 0YB + p155: 3W + p156: 10LB + p157: 3YG + p158: 0YB + p159: 0YB:0G + p160: 3W + p161: 10LB
55
p17936, 5 : 18YB:0G182p200: 13W + p201: 5LB
56
p18738, 3 : 58YG583p195: 12W + p196: 10LB + p197: 36YG
57
p18938, 5 : 60YB604p201: 5LB + p202: 35YG + p203: 0YB + p204: 20YB:0G
58
p19439, 5 : 94YB:0G946p196: 10LB + p197: 36YG + p198: 0YB + p199: 30YB:0G + p200: 13W + p201: 5LB

Left Handed Sum Detail: - Click on column name to sort
# Color Sum Schema Sum Cord Sum Cord Value # Summands Summands
1
p123, 3 : 77YG773p4: 30YB:0G + p5: 21W + p6: 26LB
2
p225, 3 : 122YG1223p5: 21W + p6: 26LB + p7: 75YG
3
p5712, 3 : 290YG2903p2: 160YG + p3: 100YB + p4: 30YB:0G
4
p6013, 1 : 62W622p24: 50YB:0G + p25: 12W
5
p6213, 3 : 177YG1776p49: 6YB:0G + p50: 13W + p51: 10LB + p52: 27YG + p53: 100YB + p54: 21YB:0G
6
p6814, 4 : 50YB502p64: 20YB:0G + p65: 30W
7
p7616, 2 : 11LB114p46: 5LB + p47: 0YG + p48: 0YB + p49: 6YB:0G
8
p8718, 3 : 120YG1205p76: 11LB + p77: 85YG + p78: 0YB + p79: 20YB:0G + p80: 4W
9
p9920, 5 : 46YB:0G467p45: 12W + p46: 5LB + p47: 0YG + p48: 0YB + p49: 6YB:0G + p50: 13W + p51: 10LB
10
p10522, 1 : 77W772p35: 66W + p36: 11LB
11
p10722, 3 : 268YG26813p85: 3W + p86: 10LB + p87: 120YG + p88: 0YB + p89: 13YB:0G + p90: 10W + p91: 0LB + p92: 40YG + p93: 0YB + p94: 42YB:0G + p95: 0W + p96: 0LB + p97: 30YG
12
p10922, 5 : 136YB1362p67: 86YG + p68: 50YB
13
p11123, 2 : 36LB362p70: 31W + p71: 5LB
14
p11223, 3 : 445YG44514p77: 85YG + p78: 0YB + p79: 20YB:0G + p80: 4W + p81: 10LB + p82: 100YG + p83: 50YB + p84: 20YB:0G + p85: 3W + p86: 10LB + p87: 120YG + p88: 0YB + p89: 13YB:0G + p90: 10W
15
p11423, 5 : 96YB962p76: 11LB + p77: 85YG
16
p11724, 3 : 335YG3357p67: 86YG + p68: 50YB + p69: 20YB:0G + p70: 31W + p71: 5LB + p72: 93YG + p73: 50YB
17
p11824, 4 : 86YB863p97: 30YG + p98: 10YB + p99: 46YB:0G
18
p11924, 5 : 192YB:0G1925p67: 86YG + p68: 50YB + p69: 20YB:0G + p70: 31W + p71: 5LB
19
p12225, 3 : 70YG702p83: 50YB + p84: 20YB:0G
20
p12826, 4 : 50YB503p90: 10W + p91: 0LB + p92: 40YG
21
p13728, 3 : 80YG803p120: 6W + p121: 4LB + p122: 70YG
22
p14229, 3 : 75YG754p122: 70YG + p123: 0LB + p124: 0YB:0G + p125: 5W
23
p14730, 3 : 40YG402p97: 30YG + p98: 10YB
24
p16233, 3 : 16YG165p157: 3YG + p158: 0YB + p159: 0YB:0G + p160: 3W + p161: 10LB
25
p16433, 5 : 20YB206p150: 6W + p151: 5LB + p152: 6YG + p153: 0LB + p154: 0YB + p155: 3W
26
p16734, 3 : 30YG3010p151: 5LB + p152: 6YG + p153: 0LB + p154: 0YB + p155: 3W + p156: 10LB + p157: 3YG + p158: 0YB + p159: 0YB:0G + p160: 3W
27
p16934, 5 : 34YB343p79: 20YB:0G + p80: 4W + p81: 10LB
28
p17235, 3 : 54YG543p128: 50YB + p129: 0YB:0G + p130: 4W
29
p17536, 1 : 17W173p150: 6W + p151: 5LB + p152: 6YG
30
p17736, 3 : 60YG609p147: 40YG + p148: 0LB + p149: 0YB + p150: 6W + p151: 5LB + p152: 6YG + p153: 0LB + p154: 0YB + p155: 3W
31
p18237, 3 : 29YG293p160: 3W + p161: 10LB + p162: 16YG
32
p18738, 3 : 58YG586p146: 7LB + p147: 40YG + p148: 0LB + p149: 0YB + p150: 6W + p151: 5LB
33
p19239, 3 : 35YG3510p152: 6YG + p153: 0LB + p154: 0YB + p155: 3W + p156: 10LB + p157: 3YG + p158: 0YB + p159: 0YB:0G + p160: 3W + p161: 10LB
34
p19439, 5 : 94YB:0G942p29: 9YB:0G + p30: 85W
35
p19740, 3 : 36YG363p162: 16YG + p163: 0YB + p164: 20YB
36
p20041, 1 : 13W132p160: 3W + p161: 10LB
37
p20742, 3 : 41YG412p181: 12LB + p182: 29YG
38
p20942, 5 : 49YB:0G495p161: 10LB + p162: 16YG + p163: 0YB + p164: 20YB + p165: 3W
39
p21143, 2 : 40LB402p201: 5LB + p202: 35YG
40
p21243, 3 : 15YG152p55: 5W + p56: 10LB
41
p21544, 1 : 70W702p186: 12LB + p187: 58YG
42
p21744, 3 : 140YG1404p207: 41YG + p208: 0YB + p209: 49YB:0G + p210: 50W
43
p22245, 3 : 125YG1255p212: 15YG + p213: 0YB + p214: 0YB:0G + p215: 70W + p216: 40LB
44
p22345, 4 : 90YB902p210: 50W + p211: 40LB
45
p22445, 5 : 11YB:0G112p151: 5LB + p152: 6YG

Khipu Notes:
Ascher Databook Notes:
  1. This is one of several khipus acquired by the Museum in 1907 with provenance Pachacamac. For a list of them, see UR1097.
  2. By spacing, the khipu is separated into 45 groups of 5 pendants each. There is a larger space after every 3rd group and a still larger space between the 21st and 22nd groups and the 24th and 25th groups. Thus, the khipu is in 3 parts: part 1 is 7 sets of 3 groups each; part 2 is 1 set of 3 groups; and part 3 is 7 sets of 3 groups.
  3. All groups in part 1 have the same color pattern: W (with a W subsidiary); LB (with an LB subsidiary); YG; YB; YB: 0G. Groups in parts 2 and 3 have the same pattern for the first 3 pendant positions and then vary in one or both of the last 2 positions. Calling the colors in the part 1 pattern C1-C5, the color patterns are summarized in Table 1.

    TABLE 1

    Part 1 (groups 1-21)C1C2C3C4C5
    Part 2 (groups 1-3)C1C2C3C4C4
    Part 3 (groups 1-5)C1C2C3C2C5
    Part 3 (groups 6-8)C1C2C3C2C4
    Part 3 (groups 9-21)C1C2C3C4C4


    In all groups, there is at least one subsidiary on pendants 1 and 2 (a W and an LB respectively) and no subsidiaries on the other positions. Additional subsidiaries on the first 2 positions are, with one exception, KB:W or LB-W.
  4. In parts 1 and 3, many values are repeated in the same position in consecutive groups or in the same position 2 groups later. The former can be represented as:,

    Pij= Pi+1,j and the latter as Pij = Pi+2,j

    In part 1, these hold in 20 and 12 places respectively; in part 2 in no places; and in part 3 in 27 and 18 places.

  5. The values in part 2 are related to the sums of values in part 3. Position by position, values in group 1 of part 2 are related to the sums of values in the first groups in each of the 7 sets in part 3; group 2 values are related to sums of values in the second groups of each of the sets; and group 3 values to the sums of values of the third group. That is:
    \[ P_{2ij}= \sum\limits_{k=0}^{6} P_{3,3k+i,j}\;\;\;for\;j=(1,2,...5),\;\; i=(1,2,3) \]
    This represents 15 sums and 105 values being summed. Of the 15 values in part 2, 8 are exactly these sums (or off by 1 in 1 digit); 5 are exact sums of only some of the 7 pendants:

    Example: P211 = P341 + P3,10,1 + P3,13,1 + P3,16,1 + P3,19,1 thus omitting P311 and P371

    and 2 are less than the sums but cannot be associated with a specific subset of the 7 pendants. (Note that the main cord is broken and so there could have been another part prior to part 1 that summed its values.