KH0698 - Indexed Pendant Sums


Drawings:

Right Handed Sums:     # Sums = 96,  Max # Summands = 9,   (Min, Mean, Max) Sum Values = (11, 31, 220)
Click on Image to View Larger

Left Handed Sums:     # Sums = 77,  Max # Summands = 5,   (Min, Mean, Max) Sum Values = (11, 33, 535)
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
g1p3 : 14W:PB142g30p3: 9W:PB + g31p3: 5W:PB
2
g1p5 : 67W674g33p5: 17W + g34p5: 22W + g35p5: 6W + g36p5: 22W
3
g2p2 : 14W142g42p2: 5W + g43p2: 9W
4
g2p3 : 25W:PB254g28p3: 3W:PB + g29p3: 8W:PB + g30p3: 9W:PB + g31p3: 5W:PB
5
g2p5 : 29W293g22p5: 2W + g23p5: 6W + g24p5: 21YB
6
g2p8 : 16W162g22p8: 11W + g23p8: 5W
7
g2p9 : 47W472g16p9: 33W + g17p9: 14W
8
g3p7 : 24W246g41p7: 3W + g42p7: 3W + g43p7: 4W + g44p7: 5W + g45p7: 4W + g46p7: 5W
9
g4p8 : 17W172g23p8: 5W + g24p8: 12W
10
g5p3 : 24W:PB242g48p3: 12W:PB + g49p3: 12W:KB
11
g5p4 : 14PB142g7p4: 6PB + g8p4: 8PB
12
g5p6 : 25W252g13p6: 17W + g15p6: 8W
13
g5p7 : 14W142g26p7: 9W + g27p7: 5W
14
g5p8 : 17W172g23p8: 5W + g24p8: 12W
15
g5p9 : 44W443g23p9: 17W + g24p9: 18W + g25p9: 9YB
16
g6p3 : 14W:PB142g30p3: 9W:PB + g31p3: 5W:PB
17
g6p5 : 23W232g17p5: 13W + g19p5: 10W
18
g6p7 : 12W122g30p7: 6W + g31p7: 6W
19
g7p3 : 27W:PB272g38p3: 15W:PB + g39p3: 12W:PB
20
g7p8 : 31W312g21p8: 20W + g22p8: 11W
21
g8p2 : 59W596g25p2: 10W + g26p2: 14W + g27p2: 8W + g28p2: 4W + g29p2: 17W + g30p2: 6W
22
g9p2 : 110W1108g17p2: 10W + g21p2: 26W + g22p2: 21W + g25p2: 10W + g26p2: 14W + g27p2: 8W + g28p2: 4W + g29p2: 17W
23
g9p3 : 22W:PB222g14p3: 12W:PB + g15p3: 10W:PB
24
g9p7 : 26W:KB262g29p7: 20W + g30p7: 6W
25
g9p8 : 220W:KB2209g10p8: 57W + g11p8: 11W + g12p8: 21W + g13p8: 27W + g14p8: 18W + g15p8: 12W + g16p8: 34W + g19p8: 24W + g20p8: 16W
26
g10p8 : 57W573g13p8: 27W + g14p8: 18W + g15p8: 12W
27
g11p2 : 34W343g37p2: 7W + g38p2: 16W + g39p2: 11W
28
g11p5 : 18W182g25p5: 10W + g26p5: 8W
29
g11p8 : 11W112g44p8: 6W + g45p8: 5W
30
g11p9 : 36W362g34p9: 8W + g35p9: 28W
31
g12p3 : 59W:PB595g24p3: 21W:PB + g25p3: 12W:PB + g26p3: 3W:PB + g27p3: 20W:PB + g28p3: 3W:PB
32
g12p7 : 35W352g28p7: 15W + g29p7: 20W
33
g13p3 : 42W:PB422g46p3: 22W:PB + g47p3: 20W:PB
34
g13p5 : 21W212g28p5: 7W + g29p5: 14W
35
g13p7 : 25W252g19p7: 16W + g20p7: 9W
36
g14p5 : 12W122g19p5: 10W + g22p5: 2W
37
g14p7 : 14W142g26p7: 9W + g27p7: 5W
38
g14p8 : 18W182g39p8: 15W + g40p8: 3W
39
g14p9 : 53W533g52p9: 13W + g53p9: 21W + g54p9: 19W
40
g15p8 : 12W122g45p8: 5W + g46p8: 7W
41
g16p5 : 19W192g42p5: 13W + g43p5: 6W
42
g16p7 : 14W142g26p7: 9W + g27p7: 5W
43
g16p8 : 34W342g52p8: 15W + g53p8: 19W
44
g19p7 : 16W164g42p7: 3W + g43p7: 4W + g44p7: 5W + g45p7: 4W
45
g19p8 : 24W243g39p8: 15W + g40p8: 3W + g41p8: 6W
46
g19p9 : 26W262g31p9: 13W + g32p9: 13W
47
g20p8 : 16W162g22p8: 11W + g23p8: 5W
48
g21p2 : 26W262g56p2: 15W + g57p2: 11W
49
g21p3 : 77W:PB775g46p3: 22W:PB + g47p3: 20W:PB + g48p3: 12W:PB + g49p3: 12W:KB + g50p3: 11W:PB
50
g21p4 : 14PB143g31p4: 3PB + g32p4: 5PB + g33p4: 6PB
51
g21p7 : 18W183g30p7: 6W + g31p7: 6W + g32p7: 6W
52
g22p2 : 21W212g28p2: 4W + g29p2: 17W
53
g22p3 : 33W:PB332g24p3: 21W:PB + g25p3: 12W:PB
54
g22p4 : 15PB152g28p4: 5PB + g29p4: 10PB
55
g22p7 : 18W183g30p7: 6W + g31p7: 6W + g32p7: 6W
56
g22p8 : 11W112g44p8: 6W + g45p8: 5W
57
g24p3 : 21W:PB213g31p3: 5W:PB + g32p3: 6W:PB + g33p3: 10W:PB
58
g24p5 : 21YB212g28p5: 7W + g29p5: 14W
59
g24p6 : 12YB122g44p6: 7W + g45p6: 5W
60
g24p7 : 14YB142g26p7: 9W + g27p7: 5W
61
g24p8 : 12W122g45p8: 5W + g46p8: 7W
62
g25p7 : 16W164g42p7: 3W + g43p7: 4W + g44p7: 5W + g45p7: 4W
63
g26p2 : 14W142g42p2: 5W + g43p2: 9W
64
g26p6 : 12W122g44p6: 7W + g45p6: 5W
65
g27p1 : 178W1782g44p1: 113W + g45p1: 65W
66
g27p4 : 12PB122g34p4: 4PB + g35p4: 8PB
67
g27p6 : 23W233g44p6: 7W + g45p6: 5W + g46p6: 11W
68
g27p8 : 19W192g30p8: 17W + g31p8: 2W
69
g28p1 : 178W1782g44p1: 113W + g45p1: 65W
70
g28p7 : 15W154g41p7: 3W + g42p7: 3W + g43p7: 4W + g44p7: 5W
71
g29p8 : 16W162g55p8: 4W + g56p8: 12W
72
g29p9 : 34W342g32p9: 13W + g33p9: 21W
73
g30p9 : 42W422g49p9: 18W + g50p9: 24W
74
g31p2 : 14W142g42p2: 5W + g43p2: 9W
75
g31p5 : 12W122g56p5: 6W + g57p5: 6W
76
g33p7 : 23W232g40p7: 20W + g41p7: 3W
77
g33p8 : 26W263g55p8: 4W + g56p8: 12W + g57p8: 10W
78
g34p7 : 13W133g43p7: 4W + g44p7: 5W + g45p7: 4W
79
g35p2 : 23W232g37p2: 7W + g38p2: 16W
80
g35p7 : 18W184g43p7: 4W + g44p7: 5W + g45p7: 4W + g46p7: 5W
81
g35p8 : 11W112g44p8: 6W + g45p8: 5W
82
g37p3 : 19W:PB193g41p3: 10W:PB + g42p3: 5W:PB + g43p3: 4W:PB
83
g37p5 : 33W333g42p5: 13W + g43p5: 6W + g44p5: 14W
84
g37p7 : 19W192g55p7: 5W + g56p7: 14W
85
g38p3 : 15W:PB152g41p3: 10W:PB + g42p3: 5W:PB
86
g38p8 : 28W283g41p8: 6W + g42p8: 9W + g43p8: 13W
87
g38p9 : 47W474g41p9: 11W + g42p9: 13W + g43p9: 11W + g44p9: 12W
88
g39p5 : 12W122g56p5: 6W + g57p5: 6W
89
g39p8 : 15W152g41p8: 6W + g42p8: 9W
90
g40p3 : 36W:PB363g55p3: 5W:PB + g56p3: 23W:PB + g57p3: 8W:PB
91
g46p3 : 22W:PB222g52p3: 11W:PB + g54p3: 11W:PB
92
g47p2 : 31W312g55p2: 16W + g56p2: 15W
93
g47p4 : 35PB354g49p4: 8PB + g50p4: 14PB + g51p4: 4PB + g52p4: 9PB
94
g47p6 : 43W432g48p6: 10W + g49p6: 33W
95
g48p5 : 64W644g49p5: 21W + g50p5: 15W + g51p5: 21W + g52p5: 7W
96
g50p8 : 35W352g51p8: 20W + g52p8: 15W

Left Handed Sum Detail: - Click on column name to sort
# Color Sum Schema Sum Cord Sum Cord Value # Summands Summands
1
g9p7 : 26W:KB262g5p7: 14W + g6p7: 12W
2
g12p7 : 35W352g2p7: 11W + g3p7: 24W
3
g13p3 : 42W:PB422g9p3: 22W:PB + g10p3: 20W:PB
4
g13p5 : 21W213g7p5: 11W + g8p5: 1W + g9p5: 9W:KB
5
g13p8 : 27W272g3p8: 10W + g4p8: 17W
6
g16p5 : 19W192g3p5: 8W + g4p5: 11W
7
g16p8 : 34W342g4p8: 17W + g5p8: 17W
8
g21p4 : 14PB142g7p4: 6PB + g8p4: 8PB
9
g22p2 : 21W213g12p2: 9W + g13p2: 10W + g14p2: 2W
10
g22p4 : 15PB153g9p4: 4PB + g11p4: 10PB + g12p4: 1PB
11
g24p5 : 21YB213g7p5: 11W + g8p5: 1W + g9p5: 9W:KB
12
g25p8 : 17W172g23p8: 5W + g24p8: 12W
13
g27p4 : 12PB122g2p4: 7PB + g3p4: 5PB
14
g27p6 : 23W233g15p6: 8W + g16p6: 6W + g19p6: 9W
15
g28p8 : 44W443g3p8: 10W + g4p8: 17W + g5p8: 17W
16
g29p6 : 21W212g19p6: 9W + g24p6: 12YB
17
g29p8 : 16W162g22p8: 11W + g23p8: 5W
18
g30p8 : 17W172g23p8: 5W + g24p8: 12W
19
g30p9 : 42W422g26p9: 30YB + g27p9: 12W
20
g32p6 : 14W142g15p6: 8W + g16p6: 6W
21
g33p8 : 26W262g2p8: 16W + g3p8: 10W
22
g34p2 : 22W222g14p2: 2W + g15p2: 20W
23
g35p2 : 23W232g29p2: 17W + g30p2: 6W
24
g35p7 : 18W183g30p7: 6W + g31p7: 6W + g32p7: 6W
25
g37p5 : 33W332g13p5: 21W + g14p5: 12W
26
g38p3 : 15W:PB152g25p3: 12W:PB + g26p3: 3W:PB
27
g38p8 : 28W283g22p8: 11W + g23p8: 5W + g24p8: 12W
28
g38p9 : 47W472g16p9: 33W + g17p9: 14W
29
g39p6 : 14W142g15p6: 8W + g16p6: 6W
30
g39p8 : 15W152g31p8: 2W + g32p8: 13W
31
g40p3 : 36W:PB363g24p3: 21W:PB + g25p3: 12W:PB + g26p3: 3W:PB
32
g42p6 : 15W152g16p6: 6W + g19p6: 9W
33
g46p3 : 22W:PB222g14p3: 12W:PB + g15p3: 10W:PB
34
g46p5 : 18W182g25p5: 10W + g26p5: 8W
35
g46p6 : 11W112g37p6: 6W + g38p6: 5W
36
g47p1 : 535W5353g33p1: 151W + g34p1: 149W + g35p1: 235W
37
g47p2 : 31W312g22p2: 21W + g25p2: 10W
38
g47p4 : 35PB354g20p4: 4PB + g21p4: 14PB + g22p4: 15PB + g23p4: 2PB
39
g47p5 : 39W392g33p5: 17W + g34p5: 22W
40
g47p6 : 43W433g25p6: 8W + g26p6: 12W + g27p6: 23W
41
g47p7 : 34W342g14p7: 14W + g15p7: 20W
42
g47p8 : 12W122g45p8: 5W + g46p8: 7W
43
g48p4 : 12PB122g2p4: 7PB + g3p4: 5PB
44
g48p5 : 64W645g38p5: 16W + g39p5: 12W + g40p5: 15W + g41p5: 8W + g42p5: 13W
45
g49p1 : 178W1782g44p1: 113W + g45p1: 65W
46
g49p5 : 21W212g28p5: 7W + g29p5: 14W
47
g50p3 : 11W:PB112g28p3: 3W:PB + g29p3: 8W:PB
48
g50p4 : 14PB142g7p4: 6PB + g8p4: 8PB
49
g50p6 : 16W162g30p6: 6W + g31p6: 10W
50
g50p7 : 14W142g26p7: 9W + g27p7: 5W
51
g50p8 : 35W352g33p8: 26W + g34p8: 9W
52
g50p9 : 24W242g41p9: 11W + g42p9: 13W
53
g51p5 : 21W212g28p5: 7W + g29p5: 14W
54
g51p6 : 14W142g15p6: 8W + g16p6: 6W
55
g52p2 : 51W514g36p2: 17W + g37p2: 7W + g38p2: 16W + g39p2: 11W
56
g52p3 : 11W:PB112g28p3: 3W:PB + g29p3: 8W:PB
57
g52p6 : 21W212g19p6: 9W + g24p6: 12YB
58
g52p7 : 29W292g32p7: 6W + g33p7: 23W
59
g52p8 : 15W152g31p8: 2W + g32p8: 13W
60
g53p5 : 18W182g25p5: 10W + g26p5: 8W
61
g53p8 : 19W192g30p8: 17W + g31p8: 2W
62
g54p3 : 11W:PB112g28p3: 3W:PB + g29p3: 8W:PB
63
g54p6 : 23W233g15p6: 8W + g16p6: 6W + g19p6: 9W
64
g54p7 : 41W413g28p7: 15W + g29p7: 20W + g30p7: 6W
65
g54p8 : 34W342g4p8: 17W + g5p8: 17W
66
g55p5 : 18W182g25p5: 10W + g26p5: 8W
67
g55p6 : 11W112g37p6: 6W + g38p6: 5W
68
g55p9 : 27W272g24p9: 18W + g25p9: 9YB
69
g56p2 : 15W152g53p2: 13W + g54p2: 2W
70
g56p3 : 23W:PB232g26p3: 3W:PB + g27p3: 20W:PB
71
g56p4 : 29PB292g21p4: 14PB + g22p4: 15PB
72
g56p7 : 14W142g26p7: 9W + g27p7: 5W
73
g56p8 : 12W122g45p8: 5W + g46p8: 7W
74
g56p9 : 27W272g24p9: 18W + g25p9: 9YB
75
g57p6 : 12W122g44p6: 7W + g45p6: 5W
76
g57p7 : 38W382g3p7: 24W + g5p7: 14W
77
g57p9 : 34W342g32p9: 13W + g33p9: 21W

Khipu Notes:
Fieldguide Notes:

Author's Notes
This khipu was part of the Maiman collection, a set of khipus gathered from deaccesioning of the Haifa museum as well as other sources. Another khipu in the collection is referenced in Bat-ami Artzi's article The Secret of the Knot: Khipu No. 936 from the Maiman Collection. The collection is also described in the book Weaving for the Afterlife - Peruvian Textiles from the Maiman Collection Volume 1 - Pages 335-336, by Krzysztof Makowski, Alfredo Rosenzweig, Maria Jesus Jiménez Diaz.

The khipu is mounted on canvas. Backwards! It is in good condition, and the regularity and tightness of the knots indicate a master khipu-kamayoq. It consists almost entirely of 9 pendant cord seriated groups in a W, W, W:PB, PB, W, W, W, W, W order. Numerous sums are evident, as are knot-twists in both S and Z directions.

Primary Cord Notes
The primary cord has numerous blue (or white) wrappings around the cord between cord groups. There are blue (or white) wrappings at:
  • wrapping from 42.5 - 45
  • wrapping from 67.5 - 68.9
  • wrapping (white) from 85.9-86.9
  • wrapping from 102.5-103.3
  • wrapping from 127.0 - 128.5
Additionally, there are breaks and mends in the primary cord at:
  • 96.1 cm - Repair
  • 116.0 cm - break/mend in primary cord


KH 0698 Photograph

Image has been assembled from a series of smaller images. Some alignment errors may occur.

The khipu is described in the book Weaving the Afterlife:
Cat. 281
Big khipu (khipu) of "canutos"
Period: Late Horizon; (1450-1550 CE)
Style: Inca, Inca Imperial Period or Huari-Tiahuanaco
Location: Highlands
Dimensions: 115 x 165 cm.
Inv. 925|
Yarns:
Main Cord: Camelid fiber Z25, blue-greenish, red, brown, yellow; Cotton S2Z and Z25 white (wrapping elements)
Cords: Camelid fiber Z3S black-brownish; Camelid fiber Z25, white, dark purple, yellow, white, red, rose, green; Camelid fiber Z orange; Cotton Z blue (wrapping elements) The main cord is of cross-knit loop stitch on a foundation.

khipu is a device for the registry of information in numerical form. It consists of a primary horizontal cord to which a variable number of vertical cords are attached, and the numbers were introduced by knots. A single knot is up to nine loops to give the value: nine. The absence of knots in the denoted position indicates zero. The units were at the farther or lower end of the string, the higher multiples of tens, hundreds or thousands were placed on the upper part.

Cañuto - translates literally as a part of a cane from knot to knot (definition from the Diccionario de la Real Academia de la Lengua Española). A short tube, not very long nor thick. The canuto on the khipu is a tube formed by wrapping together several cords with colorful yarns, at the beginning of the cords, near the main cord. In this khipu, there are thirty-five canutos or groupings: twenty-seven groupings of four strings, six of three strings and two of two strings. The total number of cords is 130. The maximum length of the knotted strings is 120 cm. and the shortest is 52 cm. The part of the main cord with attached knotted strings is only 25 cm. long. This main cord has extensions on both sides but only up to 40 cm. are preserved. There are three main levels of composite knots, but up to four levels. The coding in three colors of the canuto is repeated in two-three adjoining canutos. In addition, there is coding in two colors at the lower end of each individual string, differing from the canuto. The seriation is four with some exceptions.
This khipu was one of a group of three, found together. There are similar khipus in the Poli Collection and "Banco Central de la Reserva" (two colors).
Arellano (1999) describes this type of khipus "with canutos". See also Radicati di Primegio (1990). Bonavia (1993) classifies a similar khipu as "Huari? 500/600-900 CE". However, we are convinced that Cat. 281 is typical Inca (1450-1530 CE). The much older Huari khipus (600-900 CE) are different in construction or in many other aspects (Conklin, 1990).
With reference to the color wrapping of the cords, Conklin (1990) states that this technique began in Chavin times. The 'wrapping of warps' system was continued in the Middle Horizon: "the study of the Khipus de Canuto show clear evidence that the khipus must have had a long period of development and were not an Inca invention". He notes further, "it is possible that the mathematics of the Inca system developed from the art and ritual of previous times. The decimal system propitiated the use of a plurality of bases. Perhaps the information on the Middle Horizon Khipus had a bigger relation to the rituals than with astronomy."
Recently, Shady (see Mann, 2005) found rudimentary devices resembling khipus (pendant strings twisted around small sticks) at the ancient ceremonial center of Caral (2500-1600 BCE). If this is confirmed, it would be among the oldest textile manifestations in Peru and one of the earliest recording systems in the world. For a list of references on khipus, see our Note # 382.