UR1151/KH0167 - Catalog Information

Section Information
Statistics:
Original Name:   AS151
Original Author:  Marcia & Robert Ascher
Museum:  Museum für Völkerkunde,
Museum Number:  VA42514
Provenance:  Pachacamac
Region:  Unknown 		# of Cords:   47 (23p, 24s)
# of Unique Cord Colors:  3
Benford Match:  0.8184
# Ascher Sums (pps, ips, cps, sps,...):  5 (0, 0, 3, 0,...)
Similar Khipu:  Previous (AS153)  Next (AS001)
   UR1151/KH0167
Colored Pendant Sum
Group Sum Bands
Ascher Decreasing Group
DataFile:
UR1151
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 4 groups of 1, 6, 12, and 4 pendants respectively.
    1. The pendant in group 1 and the pendants in group 4 are LB and zero-valued (or blank). The subsidiaries in group 1 are W and non-zero.
    2. The 6 pendants of group 2 are one pair of pendants LB, Wand then 4 LB pendants each with a W subsidiary. Each of the values in the first pair is 13; the 4 LB pendant values sum to 13; and 4 W sub_sidiaries sum to 13.
    3. The 12 pendants of group 3 are 5 LB pendants with LB subsidiaries, then 5 W pendants with W subsidiaries, and then 1 pair of pendants LB, W each with a subsidiary of the same color. The first 5 LB pendant values sum to 26; then the 5 W pendant values sum to 26; and each of values in the last pair is 26. Excluding subsidiaries suspended from subsidiaries rather than from pendants, the subsidiaries also sum to 26.
    4. With the exception of the subsidiaries of subsidiaries of group 3, all the values in groups 2 and 3 are summarized in Table 1.

      Table 1

      Group Color LB Color W
      Group 2
      P21 = 13
      \[ \sum\limits_{i=3}^{6} P_{2i}\;=\;13 \]
      P22 = 13
      \[ \sum\limits_{i=3}^{6} P_{2i}\;subsidiaries\;=\;13 \]
      Group 3
      P3,11 = 26
      \[ \sum\limits_{i=1}^{5} P_{3i}\; = \;26 \]
      \[ \sum\limits_{i=1}^{5} P_{3i}\;\;subsidiaries\; = \;P_{3,11}\;subsidiary \]
      P3,12 = 26
      \[ \sum\limits_{i=6}^{10} P_{3i}\; = \;26 \]
      \[ \sum\limits_{i=1}^{5} P_{3i}\;\;subsidiaries\; = \;P_{3,12}\;subsidiary \]
      Group 3
      \[ \sum\limits_{i=1}^{10} P_{3i}\;\;subsidiaries\; = \;P_{3,11}\;subsidiary + P_{3,12}\;subsidiary = 26 \]
Bibliography:

Bibliography for UR1151/KH0167:

Year Author Title Pages
1978 Ascher, Marcia, and Robert Ascher. Code of the Quipu: Databook. University Microfilms, Ann Arbor. 680; 961-964
1981 Ascher, Marcia, and Robert Ascher. Code of the Quipu: A Study in Media, Mathematics, and Culture. University of Michigan Press, Ann Arbor. 139-140 (ex.7.4)
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. 296
2014 Urton, Gary. Quipus de Pachamac. Ministerio de Cultura, Lima. 36; 44
2017 Urton, Gary. Inka History in Knots: Reading Khipus as Primary Sources. University of Texas Press, Austin. 120; 123; 261