UR1151/KH0167 - Group Sum Bandss
Drawings:
Group Sum Bands:
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Individual Group Sum Bands: - Click on column name to sort
# | Group Sum Bands Schema | Group Position 1 Based Index |
Split Index 1 Based Index |
Left Sum 1 Based Index |
Right Sum 1 Based Index |
---|---|---|---|---|---|
0 | 002 | 11 | 52 = LB@[3, 1]:6 + LB@[3, 1, 1]:1 + LB@[3, 1, 2]:1 + LB@[3, 1, 3]:2 + LB@[3, 1, 4]:2 + LB@[3, 1, 5]:5 + *?*p8s5s1*?* + LB@[3, 2]:5 + LB@[3, 2, 1]:2 + LB@[3, 2, 2]:3 | 52 = *?*p9s2s1*?* + LB@[3, 3]:5 + LB@[3, 3, 1]:1 + LB@[3, 4]:5 + LB@[3, 4, 1]:4 + LB@[3, 5]:5 + W@[3, 6]:6 + W@[3, 6, 1]:1 + W@[3, 7]:5 + W@[3, 7, 1]:1 + *?*p14s1s1*?* + W@[3, 8]:5 + W@[3, 9]:5 + W@[3, 9, 1]:1 + W@[3, 10]:5 + LB@[3, 11]:26 + LB@[3, 11, 1]:23 + W@[3, 12]:26 + W@[3, 12, 1]:3 |
Khipu Notes:
Ascher Databook Notes:
- This is one of several khipus acquired by the Museum in 1907 with provenance Pachacamac. For a list of them, see UR1097.
- By spacing, the khipu is separated into 4 groups of 1, 6, 12, and 4 pendants respectively.
- The pendant in group 1 and the pendants in group 4 are LB and zero-valued (or blank). The subsidiaries in group 1 are W and non-zero.
- The 6 pendants of group 2 are one pair of pendants LB, Wand then 4 LB pendants each with a W subsidiary. Each of the values in the first pair is 13; the 4 LB pendant values sum to 13; and 4 W sub_sidiaries sum to 13.
- The 12 pendants of group 3 are 5 LB pendants with LB subsidiaries, then 5 W pendants with W subsidiaries, and then 1 pair of pendants LB, W each with a subsidiary of the same color. The first 5 LB pendant values sum to 26; then the 5 W pendant values sum to 26; and each of values in the last pair is 26. Excluding subsidiaries suspended from subsidiaries rather than from pendants, the subsidiaries also sum to 26.
- With the exception of the subsidiaries of subsidiaries of group 3, all the values in groups 2 and 3 are summarized in Table 1.
Table 1
Group Color LB Color W Group 2
P21 = 13
\[ \sum\limits_{i=3}^{6} P_{2i}\;=\;13 \]
P22 = 13
\[ \sum\limits_{i=3}^{6} P_{2i}\;subsidiaries\;=\;13 \]Group 3
P3,11 = 26
\[ \sum\limits_{i=1}^{5} P_{3i}\; = \;26 \]\[ \sum\limits_{i=1}^{5} P_{3i}\;\;subsidiaries\; = \;P_{3,11}\;subsidiary \]
P3,12 = 26
\[ \sum\limits_{i=6}^{10} P_{3i}\; = \;26 \]\[ \sum\limits_{i=1}^{5} P_{3i}\;\;subsidiaries\; = \;P_{3,12}\;subsidiary \]
Group 3 \[ \sum\limits_{i=1}^{10} P_{3i}\;\;subsidiaries\; = \;P_{3,11}\;subsidiary + P_{3,12}\;subsidiary = 26 \]