UR1097/KH0110 - Catalog Information

Section Information
Statistics:
Original Name:   AS097
Original Author:  Marcia & Robert Ascher
Museum:  Museum für Völkerkunde,
Museum Number:  VA42553
Provenance:  Pachacamac
Region:  Unknown 		# of Cords:   64
# of Unique Cord Colors:  7
Benford Match:  0.6356
# Ascher Sums (pps, ips, cps, sps,...):  0 (0, 0, 0, 0,...)
Similar Khipu:  Previous (AS139)  Next (AS065B)
   UR1097/KH0110
DataFile:
UR1097
Notes:
Ascher Databook Notes:
  1. Pendants 62 and 63 are tied together at 25.5 cm.
  2. Construction note: The colors of the pendants have been constructed by threading W pendants with other colors for the first 4.0-9.0 cm. of the pendant cord. Thus, near the main cord, the pendants differ in color but near the bottom they are all W.
  3. This is one of several khipus acquired by the Museum in 1907 with provenance Pachacamac. The khipus with this designation are UR1097, UR1099, AS101 - Part 2-UR1102, AS104, AS110-AS112, UR1118-UR1119, UR1121, AS125, UR1131, AS134, AS139, UR1144-UR1145, UR1151, AS156, AS158, UR1163, UR1165, UR1167, AS170, AS172, AS187-AS189.
  4. By spacing, the khipu is separated into 4 groups of 2, 22, 24, and 15 pendants followed by a single pendant. Both pendants in group 1 are W and all in group 4 are BB:W/W. The color patterns in groups 2 and 3 can be expressed in several different ways. One way is let:

    • A denote the color pair G0:W/W, VB:W/W;    A' the pair B/W, VB:W/W;
    • B denote the color pair G0:W/W, BG:W/W;    B' is B/W, BG:W/W;
    • C denote the color pair G0:W/W, 0D:W/W;    C' is B/W, 0D:W/W

    Then group 2 has the pattern (ABABA) (BBABB) (BB) and group 3 has the pattern (CC'AC'C') (B') (BBABB)

  5. The values on the khipu are restricted to 0, 1, 2, 4, 5.
    In group 1, both values are 0. In group 4, there are only values of 0 and 1.
    Groups 2 and 3 share the property that many of the values are 1 and 5 alternately. Specifically:
    \[ P_{2,2i} = 5\;for\;\;i\;=\;(1,...,9) \]
    \[ P_{3,2i} = 5\;for\;\;i\;=\;(1,...,10) \]
    \[ P_{2,2i-1} = 1\;for\;\;i\;=\;(4,..,9) \]
    \[ P_{3,2i-1} = 1\;for\;\;i\;=\;(4,...,10) \]
Bibliography:

Bibliography for UR1097/KH0110:

Year Author Title Pages
1978 Ascher, Marcia, and Robert Ascher. Code of the Quipu: Databook. University Microfilms, Ann Arbor. 676-681
1983 Ascher, Marcia. The Logical-Numerical System of Inca Quipus. Annals of the History of Computing 5:268–278. DOI: 10.1109/MAHC.1983.10090 276-277
1986 Ascher, Marcia. Mathematical Ideas of the Incas.’ In Native American Mathematics, edited by Michael P. Closs, pp. 261–289. University of Texas Press, Austin. 283
2014 Cherkinsky, Alexander, and Gary Urton. Radiocarbon Chronology of Andean Khipus. Open Journal of Archaeometry 2(5260):32-36. 34
2020 Pancorvo Salicetti, Anel, (editor). Quipus y quipucamayoc: Codificación y administración en el antiguo Perú. Apus Graph Ediciones, Lima. Salicetti, Anel, (editor). Quipus y quipucamayoc: Codificación y administración en el antiguo Perú. Apus Graph Ediciones, Lima. 434
2006 Pereyra Sánchez, Hugo. Descripción de los quipus del Museo de Sitio de Pachacamac. Consejo Nacional de Ciencia, Tecnología e Innovación Tecnológica, Lima. 14
1994 Urton, Gary. New Twist in an Old Yarn: Variation in Knot Directionality in the Inka Khipus. Baessler-Archiv Neue Folge 42:271-305. 297
2014 Urton, Gary. Quipus de Pachamac. Ministerio de Cultura, Lima. 43
2017 Urton, Gary. Inka History in Knots: Reading Khipus as Primary Sources. University of Texas Press, Austin. 123; 261