AS068/KH0081

Tall View Khipu Notes Exist - See Below

Original Name: AS068 Original Author: Marcia & Robert Ascher Museum: Museo Nac., Pueblo Libre Museum Number: 1745 Provenance: Unknown Region: Monte de Cacatilla, Valle de Nazca

Total Number of Cords: 216 Number of Ascher Cord Colors: 11 Benford Match: 0.967 Similar Khipu:  Previous  Next Datafile: KH0081

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Khipu Notes

Ascher Databook Notes:

1. Spaces appear between pendants 10 and 11 and between pendants 11 and 12. Therefore, the group of the 5 pendants numbered 8 through 12 probably originally had 7 pendants.
2. Space appears between pendants 1 5 and 16. This group probably had 7 pendants.
3. Space appears between pendants 197 and 198. This group probably had 7 pendants.
4. By spacing there are 32 groups. Larger spaces appear after the sixth, sixteenth, and twenty-second group. The spacing, color patterning and values are best described by considering the khipu to be in two parts ( Part I is the first 16 groups and Part II is the last 16 groups ). Each part c onsists of 3 sections: section A is l group; section B is the next 5 groups; and section C is the last 10 groups. Hence:
   
   Part I

   A	B	C
   1	2-6	7-16

   Part II

   A	B	C
   7-16	18-22	23-32

   
   
5. Basically each group contains 7 pendants. With the exception of positions 4 and 6, the color pattern is consistent from group to group. For positions l, 2, 3, 5, 7, it is W, MB, CB:YB, YB, YB. Position 4, with one exception, is CB:YB in Part I and LA in Part II.
   In Part I, position 6 is CB in section A, CB or 0G in section B, and 0G in section C; in Part II, it is omitted in section A, CB or omitted in section B, and CB in section C.
6. There is only one subsidiary on one pendant on the entire khipu.
7. 1. The values in section A are, in general, position by position, the sum of the values in the five groups in section B or the order of magnitude of the sums. This is presented in Table 1 below.
      
      TABLE 1
      
      Part I

      A	1	2	3	4	5	6	7
      Sum of groups in B	5928	1120	1177	?	1904	1662	384
      A	5513	934	2000-2999	1283	1287	-	686
      Sum of groups in B	4521	934	2771-2879	1047	1317	?	685

      Part II
      
      
   2. The values in section B are, position by position, the order of magnitude of the sum of the 10 groups in section C. This is presented in Table 2 below.
      
      TABLE 2
      

      	1	2	3	4	5	6	7
      Range of B values	1157:±390	244±113	590±418	216±89	370±194	?	199±132
      Sum of C groups, Part I	1027	250	222-319	223	244	356	87
      Sum of C groups, Part II	815	167-176	528-537	295	260	?	56

      
      
   3. In only one case is a value in section B the exact sum of the 10 values in section C in the comparable position. This occurs in Part I position 6. The value in position 6 in the second group of section B is the sum of the 10 values in position 6 in section C.
   4. In Part I, for pendant positions 1, 2, 3, the following holds: there is a consistent ratio of (the sum of the values in the 5 groups in section B) / (the sum of the values of the last 5 groups in section C). The ratio is 11.83±1.4%. Similarly in Part II, position 1, the ratio is 11.84. (Positions 2 and 3 of Part II contain breakage. From what remains, it can be seen that the ratio does not hold for position 2, but might for position 3.)
8. The relative magnitude of values in comparable groups in Parts I and II is consistent for positions 1, 2, and 3. For each of the 16 groups, the values in Part I are greater than the values in Part II in positions 1 and 3, and the values in Part II are greater in position 2.
9. There are some additional relationships between sums of 5 consecutive groups in section C of the khipu. If P_ijk represents the value of the pendant in the i^th part (i=l,2 ), the j^th group of section C (j=l,2,...,10), and the k^th position in the group (k=l,2,...,7), the relationships can be represented as follows:
   \[ \sum\limits_{j=1}^5 P_{1j5} = \sum\limits_{j=6}^{10} P_{2j4} \]
   \[ \sum\limits_{j=5i-4}^{5i} (P_{1j1}-P_{2j1}) = P_{i,10,1}\;\;\;for\;i=(1,2) \]
10. KH0081 and KH0058 are associated. For a detailed discussion see KH0058.