AS115/KH0129 - Catalog Information

Section Information
Statistics:
Original Author:  Marcia & Robert Ascher
Museum:  Museum für Völkerkunde, Berlin, Germany
Museum Number:  VA47089
Provenance:  Ica
Region:  Unknown 		# of Cords:   55 (48p, 7t)
# of Unique Cord Colors:  10
Benford Match:  0.6638
# Ascher Sums (pps, ips, cps, sps,...):  1 (0, 1, 0, 0,...)
Similar Khipu:  Previous (AS129)  Next (UR1099)
   AS115/KH0129
Indexed Pendant Sum
DataFile:
AS115
Notes:
Ascher Databook Notes:
  1. This is one of several khipus acquired by the Museum in 1907 with provenance Ica. For a list of them, see UR1100.
  2. By spacing, the khipu is separated into 7 groups of 7 pendants each (with the exception of the last group which has only 6 pendants). Each group has a top cord which is attached to the main cord j ust af ter the third (groups 2, 3, 7) or fourth (groups 1, 4, 5, 6) pendant.
  3. In groups 1, 2, 5, 6, 7, all pendants in a group are the same color.
  4. Each top cord differs in color from the pendants of the associated group. All of the top cords are zero-valued (or blank).
  5. In all groups where it exists, the 7th pendant is zero-valued (or blank). The non-zero values are restricted to 546-663 in group 1 and to 134-356 in the other 6 groups.
  6. With a discrepancy of 1, the sum of the values in the 4th position in each group equals the sum of the values in the 5th positions. Also, each has a subsum of 1000. That is:
    \[ \sum\limits_{i=1}^3 P_{i4} = \sum\limits_{i=4}^7 P_{i5} = 1000 \]
    \[ \sum\limits_{i=1}^7 P_{i4} = \sum\limits_{i=1}^7 P_{i5} \]
  7. The sums of the last 3 values in groups 2 and 3 are equal:
    \[ \sum\limits_{j=4}^7 P_{2j} = \sum\limits_{j=4}^7 P_{3j} \]
Bibliography:

Bibliography for AS115/KH0129:

Year Author Title Pages
1975 Ascher, Marcia and Robert Ascher. Quipu as a visible language. Visible Language 9(4):329-356. 344
1978 Ascher, Marcia, and Robert Ascher. Code of the Quipu: Databook. University Microfilms, Ann Arbor. 698; 782-786
1981 Ascher, Marcia, and Robert Ascher. Code of the Quipu: A Study in Media, Mathematics, and Culture. University of Michigan Press, Ann Arbor. 15
2010 Chirinos Rivera, Andrés. Quipus del Tahuantinsuyo: Curacas, Incas y su saber matemático en el siglo XVI. Editorial Commentarios, Lima. 238; 264-265; 340
1994 Urton, Gary. New Twist in an Old Yarn: Variation in Knot Directionality in the Inka Khipus. Baessler-Archiv Neue Folge 42:271-305. 299
2017 Urton, Gary. Inka History in Knots: Reading Khipus as Primary Sources. University of Texas Press, Austin. 261