AS068/KH0081
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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:
- 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.
- Space appears between pendants 1 5 and 16. This group probably had 7 pendants.
- Space appears between pendants 197 and 198. This group probably had 7 pendants.
- 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 IA B C 1 2-6 7-16 A B C 7-16 18-22 23-32
- 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. - There is only one subsidiary on one pendant on the entire khipu.
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- 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 IA 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
- 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
- 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.
- 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.)
- 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.
- 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.
- There are some additional relationships between sums of 5 consecutive groups in section C of the khipu. If Pijk represents the value of the pendant in the ith part (i=l,2 ), the jth group of section C (j=l,2,...,10), and the kth position in the group (k=l,2,...,7), the relationships can be represented as follows:
\[ \sum\limits_{j=1}^5 P_{1j5} = \sum\limits_{j=6}^{10} P_{2j4} \]\[ \sum\limits_{j=5i-4}^{5i} (P_{1j1}-P_{2j1}) = P_{i,10,1}\;\;\;for\;i=(1,2) \]
- KH0081 and KH0058 are associated. For a detailed discussion see KH0058.