Catalog: KH0052 (AS041)

Section Information
Statistics:
Aliases:   AS041
Contributors:  Marcia & Robert Ascher
Museum:  Museo Nacional de Arqueología, Antropología e Historia del Perú, Lima, Peru
Museum Number:  V17/559
Provenance:  Unknown
Region:  Unknown 		# of Groups & Cords:   10 Groups, 56 Cords - (32p, 24s)
# of Unique Cord Colors:  8
Benford Match:  0.9206
# Ascher Sums (pps, ips, cps, sps,...):  4 (3, 0, 1, 0,...)
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   KH0052 (AS041)
Pendant Pendant Sum
Colored Pendant Sum
DataFile:
KH0052
Notes:
Ascher Databook Notes:
  1. By spacing there are 10 groups of 4, 4,2, 4, 4, 4,3, 3,3, 1 pendants. There is some consistency of color pattern. LD appears in 9 of the 10 groups in position 1 and in no other positions.
    Groups 2, 4, and 5 have the same color pattern: LD, RL, MD, LD:W.
    Group 1 is similar, but with the colors of positions 2 and 3 reversed and RL:W instead of LD: W.
    The association of position 3 in Group 2 with position 2 in other groups, and of RL:W with LD:W, is further seen when examining numerical relationships.
  2. The values in Group 1 are the sums o f the values in the subsequent groups. Where pendants of the same color are in similar positions in different groups, their values are related. However, the sum seems to be more related to pendant color than position. While other sum statements might be as valid, one which accounts for most values follows. (Note: Pij is the value of the jth pendant in the ithth group. Pijsk is the value of the kth subsidiary on the jth pendant in the ith group.)
    \[P_{11}+P_{11s1}+P_{11s2}=P_{21}+P_{31}+P_{41}+P_{51}+P_{61}+P_{71}\;for\;all\;LD \]
    \[P_{12}=P_{23}+P_{43}+P_{53}\;for\;all\;(MB) \]
    \[P_{12s1}=P_{43s1}\;for\;all\;(W) \]
    \[P_{13s1}=P_{52}+P_{22s1}+P_{24s1}+P_{44s1}\;for\;all\;(RL) \]


    \[^{(RL)}{P_{13}=P_{22}+P_{32}+P_{92}}\;+\;^{(W)}{P_{63}}\;+\;^{(LD:W)}{P_{24}+P_{54}}\;for\;all\;(LD:W)\]
    \[P_{14s1}=P_{32s1}\;for\;all\;(LD:W)\]
    \[^{(LD:W)}{P_{14}}=^{(LD:W)}{P_{22}}\;\;+^{(LD-W)}{P_{73}}\;\;+^{(RL:W)}{P_{64}+P_{72}+P_{72s1}+P_{81}+P_{83}}\;for\;all\;(LD:W)\]


    Inexact sums on subsidiaries of position 1 in Group 1:
    \[P_{11s1s1}+P_{11s2s2}\;exceeds\;P_{61s1}+P_{71s1}\;by\;6\;for\;all\;MB \]
    \[P_{11s1s2}\;exceeds\;P_{31s1}\;by\;1\;for\;all\;W \]
    \[P_{11s2s1}\;exceeds\;P_{21s1}+P_{51s1}+P_{71s1}\;by\;2\;for\;all\;RL \]


    Seven values in groups 2-10 unaccounted for in sums :
    \[^{(LD:W)}{P_{14}}=\;^{(LD:W)}{P_{22}}\;+\;^{(LD-W)}{P_{73}}\;+\;^{(RL:W)}{P_{64}+P_{72}+P_{72s1}+P_{81}+P_{83}}\;for\;all\;(LD:W)\]
Bibliography:

Bibliography for KH0052 (AS041):

Year Author Title Pages
1978 Ascher, Marcia, and Robert Ascher. Code of the Quipu: Databook. University Microfilms, Ann Arbor. Text: 225-229
1970 Mackey, Carol. Knot Records in Ancient and Modern Peru. PhD dissertation, Anthropology, University of California, Berkeley. Text: 61; 214
2017 Urton, Gary. Inka History in Knots: Reading Khipus as Primary Sources. University of Texas Press, Austin. Text: 263
2007 Witkowski, Olaf. Essai de décryptage des cordelettes quipus utilisées par les Incas comme moyen de communication: Un exemple d’ethno-cryptographie (Doctoral dissertation, Master’s thesis, Université Catholique de Louvain). Text: 97