UR1148/KH0164 - Catalog Information

Section Information
Statistics:
Original Name:   AS148
Original Author:  Marcia & Robert Ascher
Museum:  Museum für Völkerkunde,
Museum Number:  VA44866B
Provenance:  Ocucaje
Region:  Unknown 		# of Cords:   20
# of Unique Cord Colors:  5
Benford Match:  0.9174
# Ascher Sums (pps, ips, cps, sps,...):  2 (0, 2, 0, 0,...)
Similar Khipu:  Previous (UR1147)  Next (UR1102)
   UR1148/KH0164
Indexed Pendant Sum
DataFile:
UR1148
Notes:
Ascher Databook Notes:
  1. UR1147-UR1149 are associated in that they were all designated by the same Museum number. They were acquired by the Museum in 1907 with provenance Ocucaje. For a comparison of them, see UR1147.
  2. By spacing, the khipu is separated into 3 parts. Part 1 is 2 pairs of pendants and parts 2 and 3 are eac h 4 pairs of pendants.
  3. The values in part 1 are the sums of values in parts 2 and 3. Assuming that the value of P2 is 2061 and the value of P13 is 379, with an exception of 1 in 1 digit, the first pair in part 1 are the sums, position by position, of the pairs in part 2, and the second pair in part 1 are the sums of the pairs in part 3, Namely:
    \[ \sum\limits_{i=1}^{4} P_{2ij} = P_{11j}\;\;\;for\;j=(1,2) \]
    \[ \sum\limits_{i=1}^{4} P_{3ij} = P_{12j}\;\;\;for\;j=(1,2) \]
    where Pkij is the value of the pendant in the jth position of the ith group of the kth part.
  4. In all 10 pairs, the value of the second pendant is larger than the first. It is also larger than the first value in the next pair. Thus:

    P2i > P2i-1 i=(1,...,10) and
    P2i > P2i+1 i=(1,...,9)

    where Pi is the value of the ith pendant on the khipu.
Bibliography:

Bibliography for UR1148/KH0164:

Year Author Title Pages
1978 Ascher, Marcia, and Robert Ascher. Code of the Quipu: Databook. University Microfilms, Ann Arbor. 944-945; 946-948
1981 Ascher, Marcia, and Robert Ascher. Code of the Quipu: A Study in Media, Mathematics, and Culture. University of Michigan Press, Ann Arbor. 68
2017 Urton, Gary. Inka History in Knots: Reading Khipus as Primary Sources. University of Texas Press, Austin. 261