KH0192/UR1175, AS175 - 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)
Click on Image to View Larger

Left Handed Sums:     # Sums = 45,  Max # Summands = 14,   (Min, Mean, Max) Sum Values = (11, 90, 445)
Click on Image to View Larger

Right Handed Sum Detail: - Click on column name to sort
# Color Sum Schema Sum Cord Sum Cord Value # Summands Summands
1
g1p2 : 160YG1603g17p2: 10LB + g17p3: 100YG + g17p4: 50YB
2
g2p2 : 26LB262g11p5: 21YB:0G + g12p1: 5W
3
g3p1 : 25W259g31p3: 6YG + g31p4: 0LB + g31p5: 0YB + g32p1: 3W + g32p2: 10LB + g32p3: 3YG + g32p4: 0YB + g32p5: 0YB:0G + g33p1: 3W
4
g4p1 : 23W235g10p1: 12W + g10p2: 5LB + g10p3: 0YG + g10p4: 0YB + g10p5: 6YB:0G
5
g4p3 : 77YG772g8p1: 66W + g8p2: 11LB
6
g5p1 : 36W366g10p1: 12W + g10p2: 5LB + g10p3: 0YG + g10p4: 0YB + g10p5: 6YB:0G + g11p1: 13W
7
g5p2 : 33LB332g14p1: 30W + g14p2: 3LB
8
g5p3 : 122YG1222g9p4: 100YB + g9p5: 22YB:0G
9
g5p5 : 50YB:0G503g11p1: 13W + g11p2: 10LB + g11p3: 27YG
10
g6p3 : 82YG823g19p3: 40YG + g19p4: 0YB + g19p5: 42YB:0G
11
g6p4 : 58YB587g9p5: 22YB:0G + g10p1: 12W + g10p2: 5LB + g10p3: 0YG + g10p4: 0YB + g10p5: 6YB:0G + g11p1: 13W
12
g7p3 : 79YG793g8p5: 11YB:0G + g9p1: 65W + g9p2: 3LB
13
g8p3 : 129YG1293g15p1: 31W + g15p2: 5LB + g15p3: 93YG
14
g8p5 : 11YB:0G114g10p2: 5LB + g10p3: 0YG + g10p4: 0YB + g10p5: 6YB:0G
15
g9p3 : 139YG1394g9p4: 100YB + g9p5: 22YB:0G + g10p1: 12W + g10p2: 5LB
16
g9p5 : 22YB:0G226g31p3: 6YG + g31p4: 0LB + g31p5: 0YB + g32p1: 3W + g32p2: 10LB + g32p3: 3YG
17
g11p1 : 13W132g18p1: 3W + g18p2: 10LB
18
g11p3 : 27YG277g31p2: 5LB + g31p3: 6YG + g31p4: 0LB + g31p5: 0YB + g32p1: 3W + g32p2: 10LB + g32p3: 3YG
19
g11p5 : 21YB:0G212g36p1: 17W + g36p2: 4LB
20
g12p3 : 290YG29023g28p5: 12YB:0G + g29p1: 2W + g29p2: 6LB + g29p3: 75YG + g29p4: 100YB + g29p5: 0YB:0G + g30p1: 2W + g30p2: 7LB + g30p3: 40YG + g30p4: 0LB + g30p5: 0YB + g31p1: 6W + g31p2: 5LB + g31p3: 6YG + g31p4: 0LB + g31p5: 0YB + g32p1: 3W + g32p2: 10LB + g32p3: 3YG + g32p4: 0YB + g32p5: 0YB:0G + g33p1: 3W + g33p2: 10LB
21
g12p5 : 55YB:0G556g30p1: 2W + g30p2: 7LB + g30p3: 40YG + g30p4: 0LB + g30p5: 0YB + g31p1: 6W
22
g13p1 : 62W6213g31p1: 6W + g31p2: 5LB + g31p3: 6YG + g31p4: 0LB + g31p5: 0YB + g32p1: 3W + g32p2: 10LB + g32p3: 3YG + g32p4: 0YB + g32p5: 0YB:0G + g33p1: 3W + g33p2: 10LB + g33p3: 16YG
23
g13p3 : 177YG1775g15p3: 93YG + g15p4: 50YB + g15p5: 20YB:0G + g16p1: 3W + g16p2: 11LB
24
g14p3 : 86YG863g20p3: 30YG + g20p4: 10YB + g20p5: 46YB:0G
25
g15p3 : 93YG9316g30p2: 7LB + g30p3: 40YG + g30p4: 0LB + g30p5: 0YB + g31p1: 6W + g31p2: 5LB + g31p3: 6YG + g31p4: 0LB + g31p5: 0YB + g32p1: 3W + g32p2: 10LB + g32p3: 3YG + g32p4: 0YB + g32p5: 0YB:0G + g33p1: 3W + g33p2: 10LB
26
g16p2 : 11LB112g31p1: 6W + g31p2: 5LB
27
g16p3 : 85YG856g25p1: 6W + g25p2: 4LB + g25p3: 70YG + g25p4: 0LB + g25p5: 0YB:0G + g26p1: 5W
28
g17p4 : 50YB503g19p1: 10W + g19p2: 0LB + g19p3: 40YG
29
g17p5 : 20YB:0G203g28p5: 12YB:0G + g29p1: 2W + g29p2: 6LB
30
g18p3 : 120YG1204g28p4: 100YB + g28p5: 12YB:0G + g29p1: 2W + g29p2: 6LB
31
g18p5 : 13YB:0G132g32p1: 3W + g32p2: 10LB
32
g19p3 : 40YG402g20p3: 30YG + g20p4: 10YB
33
g19p5 : 42YB:0G427g32p2: 10LB + g32p3: 3YG + g32p4: 0YB + g32p5: 0YB:0G + g33p1: 3W + g33p2: 10LB + g33p3: 16YG
34
g20p3 : 30YG307g31p1: 6W + g31p2: 5LB + g31p3: 6YG + g31p4: 0LB + g31p5: 0YB + g32p1: 3W + g32p2: 10LB
35
g20p5 : 46YB:0G464g30p3: 40YG + g30p4: 0LB + g30p5: 0YB + g31p1: 6W
36
g21p3 : 138YG1384g36p3: 60YG + g36p4: 50YB + g36p5: 18YB:0G + g37p1: 10W
37
g21p5 : 78YB:0G783g36p4: 50YB + g36p5: 18YB:0G + g37p1: 10W
38
g22p1 : 77W775g25p3: 70YG + g25p4: 0LB + g25p5: 0YB:0G + g26p1: 5W + g26p2: 2LB
39
g22p2 : 35LB3510g31p3: 6YG + g31p4: 0LB + g31p5: 0YB + g32p1: 3W + g32p2: 10LB + g32p3: 3YG + g32p4: 0YB + g32p5: 0YB:0G + g33p1: 3W + g33p2: 10LB
40
g22p3 : 268YG26821g29p1: 2W + g29p2: 6LB + g29p3: 75YG + g29p4: 100YB + g29p5: 0YB:0G + g30p1: 2W + g30p2: 7LB + g30p3: 40YG + g30p4: 0LB + g30p5: 0YB + g31p1: 6W + g31p2: 5LB + g31p3: 6YG + g31p4: 0LB + g31p5: 0YB + g32p1: 3W + g32p2: 10LB + g32p3: 3YG + g32p4: 0YB + g32p5: 0YB:0G + g33p1: 3W
41
g22p4 : 200YB20010g25p2: 4LB + g25p3: 70YG + g25p4: 0LB + g25p5: 0YB:0G + g26p1: 5W + g26p2: 2LB + g26p3: 65YG + g26p4: 50YB + g26p5: 0YB:0G + g27p1: 4W
42
g23p2 : 36LB3611g31p1: 6W + g31p2: 5LB + g31p3: 6YG + g31p4: 0LB + g31p5: 0YB + g32p1: 3W + g32p2: 10LB + g32p3: 3YG + g32p4: 0YB + g32p5: 0YB:0G + g33p1: 3W
43
g23p3 : 445YG44516g37p5: 60YB:0G + g38p1: 10W + g38p2: 12LB + g38p3: 58YG + g38p4: 0YB + g38p5: 60YB + g39p1: 8W + g39p2: 20LB + g39p3: 35YG + g39p4: 0YB + g39p5: 94YB:0G + g40p1: 12W + g40p2: 10LB + g40p3: 36YG + g40p4: 0YB + g40p5: 30YB:0G
44
g23p4 : 250YB25012g28p5: 12YB:0G + g29p1: 2W + g29p2: 6LB + g29p3: 75YG + g29p4: 100YB + g29p5: 0YB:0G + g30p1: 2W + g30p2: 7LB + g30p3: 40YG + g30p4: 0LB + g30p5: 0YB + g31p1: 6W
45
g23p5 : 96YB966g41p3: 35YG + g41p4: 0YB + g41p5: 20YB:0G + g42p1: 0W + g42p2: 0LB + g42p3: 41YG
46
g24p1 : 75W754g25p3: 70YG + g25p4: 0LB + g25p5: 0YB:0G + g26p1: 5W
47
g24p2 : 66LB668g30p1: 2W + g30p2: 7LB + g30p3: 40YG + g30p4: 0LB + g30p5: 0YB + g31p1: 6W + g31p2: 5LB + g31p3: 6YG
48
g24p4 : 86YB8615g30p3: 40YG + g30p4: 0LB + g30p5: 0YB + g31p1: 6W + g31p2: 5LB + g31p3: 6YG + g31p4: 0LB + g31p5: 0YB + g32p1: 3W + g32p2: 10LB + g32p3: 3YG + g32p4: 0YB + g32p5: 0YB:0G + g33p1: 3W + g33p2: 10LB
49
g24p5 : 192YB:0G1927g25p3: 70YG + g25p4: 0LB + g25p5: 0YB:0G + g26p1: 5W + g26p2: 2LB + g26p3: 65YG + g26p4: 50YB
50
g25p3 : 70YG7010g30p3: 40YG + g30p4: 0LB + g30p5: 0YB + g31p1: 6W + g31p2: 5LB + g31p3: 6YG + g31p4: 0LB + g31p5: 0YB + g32p1: 3W + g32p2: 10LB
51
g26p3 : 65YG6510g32p1: 3W + g32p2: 10LB + g32p3: 3YG + g32p4: 0YB + g32p5: 0YB:0G + g33p1: 3W + g33p2: 10LB + g33p3: 16YG + g33p4: 0YB + g33p5: 20YB
52
g28p3 : 80YG8012g30p2: 7LB + g30p3: 40YG + g30p4: 0LB + g30p5: 0YB + g31p1: 6W + g31p2: 5LB + g31p3: 6YG + g31p4: 0LB + g31p5: 0YB + g32p1: 3W + g32p2: 10LB + g32p3: 3YG
53
g29p4 : 100YB1003g44p4: 50YB + g44p5: 0YB:0G + g45p1: 50W
54
g30p3 : 40YG4011g31p2: 5LB + g31p3: 6YG + g31p4: 0LB + g31p5: 0YB + g32p1: 3W + g32p2: 10LB + g32p3: 3YG + g32p4: 0YB + g32p5: 0YB:0G + g33p1: 3W + g33p2: 10LB
55
g36p5 : 18YB:0G182g41p1: 13W + g41p2: 5LB
56
g38p3 : 58YG583g40p1: 12W + g40p2: 10LB + g40p3: 36YG
57
g38p5 : 60YB604g41p2: 5LB + g41p3: 35YG + g41p4: 0YB + g41p5: 20YB:0G
58
g39p5 : 94YB:0G946g40p2: 10LB + g40p3: 36YG + g40p4: 0YB + g40p5: 30YB:0G + g41p1: 13W + g41p2: 5LB

Left Handed Sum Detail: - Click on column name to sort
# Color Sum Schema Sum Cord Sum Cord Value # Summands Summands
1
g3p3 : 77YG773g1p4: 30YB:0G + g2p1: 21W + g2p2: 26LB
2
g5p3 : 122YG1223g2p1: 21W + g2p2: 26LB + g2p3: 75YG
3
g12p3 : 290YG2903g1p2: 160YG + g1p3: 100YB + g1p4: 30YB:0G
4
g13p1 : 62W622g5p5: 50YB:0G + g6p1: 12W
5
g13p3 : 177YG1776g10p5: 6YB:0G + g11p1: 13W + g11p2: 10LB + g11p3: 27YG + g11p4: 100YB + g11p5: 21YB:0G
6
g14p4 : 50YB502g13p5: 20YB:0G + g14p1: 30W
7
g15p1 : 31W313g11p5: 21YB:0G + g12p1: 5W + g12p2: 5LB
8
g16p2 : 11LB114g10p2: 5LB + g10p3: 0YG + g10p4: 0YB + g10p5: 6YB:0G
9
g18p3 : 120YG1205g16p2: 11LB + g16p3: 85YG + g16p4: 0YB + g16p5: 20YB:0G + g17p1: 4W
10
g20p5 : 46YB:0G467g10p1: 12W + g10p2: 5LB + g10p3: 0YG + g10p4: 0YB + g10p5: 6YB:0G + g11p1: 13W + g11p2: 10LB
11
g22p1 : 77W772g8p1: 66W + g8p2: 11LB
12
g22p3 : 268YG26813g18p1: 3W + g18p2: 10LB + g18p3: 120YG + g18p4: 0YB + g18p5: 13YB:0G + g19p1: 10W + g19p2: 0LB + g19p3: 40YG + g19p4: 0YB + g19p5: 42YB:0G + g20p1: 0W + g20p2: 0LB + g20p3: 30YG
13
g22p5 : 136YB1362g14p3: 86YG + g14p4: 50YB
14
g23p2 : 36LB362g15p1: 31W + g15p2: 5LB
15
g23p3 : 445YG44514g16p3: 85YG + g16p4: 0YB + g16p5: 20YB:0G + g17p1: 4W + g17p2: 10LB + g17p3: 100YG + g17p4: 50YB + g17p5: 20YB:0G + g18p1: 3W + g18p2: 10LB + g18p3: 120YG + g18p4: 0YB + g18p5: 13YB:0G + g19p1: 10W
16
g23p5 : 96YB962g16p2: 11LB + g16p3: 85YG
17
g24p3 : 335YG3357g14p3: 86YG + g14p4: 50YB + g14p5: 20YB:0G + g15p1: 31W + g15p2: 5LB + g15p3: 93YG + g15p4: 50YB
18
g24p4 : 86YB863g20p3: 30YG + g20p4: 10YB + g20p5: 46YB:0G
19
g24p5 : 192YB:0G1925g14p3: 86YG + g14p4: 50YB + g14p5: 20YB:0G + g15p1: 31W + g15p2: 5LB
20
g25p3 : 70YG702g17p4: 50YB + g17p5: 20YB:0G
21
g26p4 : 50YB503g19p1: 10W + g19p2: 0LB + g19p3: 40YG
22
g28p3 : 80YG803g25p1: 6W + g25p2: 4LB + g25p3: 70YG
23
g29p3 : 75YG754g25p3: 70YG + g25p4: 0LB + g25p5: 0YB:0G + g26p1: 5W
24
g30p3 : 40YG402g20p3: 30YG + g20p4: 10YB
25
g33p3 : 16YG165g32p3: 3YG + g32p4: 0YB + g32p5: 0YB:0G + g33p1: 3W + g33p2: 10LB
26
g33p5 : 20YB206g31p1: 6W + g31p2: 5LB + g31p3: 6YG + g31p4: 0LB + g31p5: 0YB + g32p1: 3W
27
g34p3 : 30YG3010g31p2: 5LB + g31p3: 6YG + g31p4: 0LB + g31p5: 0YB + g32p1: 3W + g32p2: 10LB + g32p3: 3YG + g32p4: 0YB + g32p5: 0YB:0G + g33p1: 3W
28
g34p5 : 34YB343g16p5: 20YB:0G + g17p1: 4W + g17p2: 10LB
29
g35p3 : 54YG543g26p4: 50YB + g26p5: 0YB:0G + g27p1: 4W
30
g36p1 : 17W173g31p1: 6W + g31p2: 5LB + g31p3: 6YG
31
g36p3 : 60YG609g30p3: 40YG + g30p4: 0LB + g30p5: 0YB + g31p1: 6W + g31p2: 5LB + g31p3: 6YG + g31p4: 0LB + g31p5: 0YB + g32p1: 3W
32
g37p3 : 29YG293g33p1: 3W + g33p2: 10LB + g33p3: 16YG
33
g38p3 : 58YG586g30p2: 7LB + g30p3: 40YG + g30p4: 0LB + g30p5: 0YB + g31p1: 6W + g31p2: 5LB
34
g39p3 : 35YG3510g31p3: 6YG + g31p4: 0LB + g31p5: 0YB + g32p1: 3W + g32p2: 10LB + g32p3: 3YG + g32p4: 0YB + g32p5: 0YB:0G + g33p1: 3W + g33p2: 10LB
35
g39p5 : 94YB:0G942g6p5: 9YB:0G + g7p1: 85W
36
g40p3 : 36YG363g33p3: 16YG + g33p4: 0YB + g33p5: 20YB
37
g41p1 : 13W132g33p1: 3W + g33p2: 10LB
38
g42p3 : 41YG412g37p2: 12LB + g37p3: 29YG
39
g42p5 : 49YB:0G495g33p2: 10LB + g33p3: 16YG + g33p4: 0YB + g33p5: 20YB + g34p1: 3W
40
g43p2 : 40LB402g41p2: 5LB + g41p3: 35YG
41
g44p1 : 70W702g38p2: 12LB + g38p3: 58YG
42
g44p3 : 140YG1404g42p3: 41YG + g42p4: 0YB + g42p5: 49YB:0G + g43p1: 50W
43
g45p3 : 125YG1255g43p3: 15YG + g43p4: 0YB + g43p5: 0YB:0G + g44p1: 70W + g44p2: 40LB
44
g45p4 : 90YB902g43p1: 50W + g43p2: 40LB
45
g45p5 : 11YB:0G112g31p2: 5LB + g31p3: 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 KH0110.
  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.