AS092/KH0105 - Colored Pendant Sums


Drawings:

Right Handed Sums:     # Sums = 8,  Max # Summands = 6,   (Min, Mean, Max) Sum Values = (13, 31, 58)
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Left Handed Sums:     # Sums = 3,  Max # Summands = 4,   (Min, Mean, Max) Sum Values = (17, 28, 45)
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Right Handed Sum Detail: - Click on column name to sort
# Color Sum Schema Sum Cord Sum Cord Value # Summands Summands
1
p21, 2 : 17MB173p20: 9MB + p26: 6MB + p32: 2MB
2
p41, 4 : 47W476p46: 4W + p47: 4W + p49: 15W + p50: 10W + p52: 10W + p53: 4W
3
p51, 5 : 58W583p12: 4W + p13: 41W + p16: 13W
4
p133, 1 : 41W413p23: 17W + p24: 6W + p25: 18W
5
p163, 4 : 13W133p40: 7W + p41: 4W + p42: 2W
6
p194, 1 : 45W453p36: 6W + p37: 32W + p40: 7W
7
p224, 4 : 13W133p40: 7W + p41: 4W + p42: 2W
8
p234, 5 : 17W174p40: 7W + p41: 4W + p42: 2W + p46: 4W

Left Handed Sum Detail: - Click on column name to sort
# Color Sum Schema Sum Cord Sum Cord Value # Summands Summands
1
p194, 1 : 45W453p7: 38W + p10: 3W + p12: 4W
2
p5410, 1 : 21W213p16: 13W + p17: 4W + p18: 4W
3
p5510, 2 : 17W174p40: 7W + p41: 4W + p42: 2W + p46: 4W

Khipu Notes:
Ascher Databook Notes:
  1. AS087, AS089, AS090/N2, AS092, AS093, AS094 are associates in that the Museum designates them all as donated by Gaffron, and gives the provenance as Peru. For a comparison of them, see AS087.
  2. By spacing, AS092 is separated into 10 groups. The first 8 groups each have 6 pendants with the same color pattern (W, MB, MB:W, W, W, W).
  3. In all 10 groups, the first pendant has the maximum value.
  4. Position by position, the pendant values in group 1 are larger than those in group 4, which are larger than those in group 3, which are larger than those in group 2. That is:
    \[ P_{1i} > P_{4i} > P_{3i} > P_{2i}\;for\;\;i\;=\;(2,3,4,...,8) \]
  5. In a few cases, the sums of values in the same position in pairs of consecutive groups are equal. Namely:
    \[ P_{4i} + P_{5i} = P_{6i} + P_{7i}\;for\;\;i\;=\;(1,4) \]
    \[ P_{2i} + P_{3i} = P_{6i} + P_{7i}\;for\;\;i\;=\;(4,6) \]