AS092/KH0105 - Pendant Pendant Sums

Drawings:

Overview	Detail View
All Khipus' Ascher Sum Fieldmarks	Right-Handed XRay
All Pendant Pendant Sum Relationships	Left-Handed XRay
This Khipu's Fieldmark Catalog	Right-Handed Sum Detail
This Khipu's Drawing	Left-Handed Sum Detail

Right Handed Sums: # Sums = 10, Max # Summands = 13, (Min, Mean, Max) Sum Values = (12, 45, 189)
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Left Handed Sums: # Sums = 9, Max # Summands = 7, (Min, Mean, Max) Sum Values = (12, 23, 45)
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Right Handed Sum Detail: - Click on column name to sort

#	Sum Cord	Sum Cord Value	# Summands	Summands
1	p1_{1, 1} : 189_W	189	13	p5: 58_W + p6: 12_W + p7: 38_W + p8: 4_MB + p9: 2_W:MB + p10: 3_W + p11: 0_W + p12: 4_W + p13: 41_W + p14: 6_MB + p15: 4_W:MB + p16: 13_W + p17: 4_W
2	p2_{1, 2} : 17_MB	17	2	p15: 4_W:MB + p16: 13_W
3	p4_{1, 4} : 47_W	47	4	p7: 38_W + p8: 4_MB + p9: 2_W:MB + p10: 3_W
4	p5_{1, 5} : 58_W	58	6	p10: 3_W + p11: 0_W + p12: 4_W + p13: 41_W + p14: 6_MB + p15: 4_W:MB
5	p6_{1, 6} : 12_W	12	2	p33: 3_W:MB + p34: 9_W
6	p7_{2, 1} : 38_W	38	5	p24: 6_W + p25: 18_W + p26: 6_MB + p27: 5_W:MB + p28: 3_W
7	p13_{3, 1} : 41_W	41	3	p23: 17_W + p24: 6_W + p25: 18_W
8	p22_{4, 4} : 13_W	13	3	p40: 7_W + p41: 4_W + p42: 2_W
9	p23_{4, 5} : 17_W	17	2	p34: 9_W + p35: 8_W
10	p25_{5, 1} : 18_W	18	7	p41: 4_W + p42: 2_W + p43: 0_W + p44: 1_MB + p45: 3_W:MB + p46: 4_W + p47: 4_W

Left Handed Sum Detail: - Click on column name to sort

#	Sum Cord	Sum Cord Value	# Summands	Summands
1	p16_{3, 4} : 13_W	13	5	p8: 4_MB + p9: 2_W:MB + p10: 3_W + p11: 0_W + p12: 4_W
2	p19_{4, 1} : 45_W	45	2	p12: 4_W + p13: 41_W
3	p23_{4, 5} : 17_W	17	2	p16: 13_W + p17: 4_W
4	p31_{6, 1} : 31_W	31	5	p14: 6_MB + p15: 4_W:MB + p16: 13_W + p17: 4_W + p18: 4_W
5	p37_{7, 1} : 32_W	32	4	p25: 18_W + p26: 6_MB + p27: 5_W:MB + p28: 3_W
6	p49_{9, 1} : 15_W	15	2	p20: 9_MB + p21: 6_W:MB
7	p54_{10, 1} : 21_W	21	7	p40: 7_W + p41: 4_W + p42: 2_W + p43: 0_W + p44: 1_MB + p45: 3_W:MB + p46: 4_W
8	p55_{10, 2} : 17_W	17	6	p40: 7_W + p41: 4_W + p42: 2_W + p43: 0_W + p44: 1_MB + p45: 3_W:MB
9	p56_{10, 3} : 12_W	12	4	p44: 1_MB + p45: 3_W:MB + p46: 4_W + p47: 4_W

Khipu Notes:

Ascher Databook Notes:

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.
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).
In all 10 groups, the first pendant has the maximum value.
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:

\[ P_{1i} > P_{4i} > P_{3i} > P_{2i}\;for\;\;i\;=\;(2,3,4,...,8) \]
In a few cases, the sums of values in the same position in pairs of consecutive groups are equal. Namely:

\[ P_{4i} + P_{5i} = P_{6i} + P_{7i}\;for\;\;i\;=\;(1,4) \]

\[ P_{2i} + P_{3i} = P_{6i} + P_{7i}\;for\;\;i\;=\;(4,6) \]