UR1145/KH0161 - 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 = 8, Max # Summands = 11, (Min, Mean, Max) Sum Values = (15, 385, 1497)
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Left Handed Sums: # Sums = 11, Max # Summands = 23, (Min, Mean, Max) Sum Values = (12, 331, 1108)
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Right Handed Sum Detail: - Click on column name to sort

#	Sum Cord	Sum Cord Value	# Summands	Summands
1	p10_{3, 1} : 23_EB	23	7	p17: 1_B + p18: 1_B + p19: 6_B + p20: 5_B + p21: 1_B + p22: 1_B + p23: 8_B
2	p12_{3, 3} : 62_EB	62	6	p15: 15_EB + p16: 34_EB + p17: 1_B + p18: 1_B + p19: 6_B + p20: 5_B
3	p13_{3, 4} : 18_EB	18	2	p27: 12_EB + p28: 6_EB
4	p15_{3, 6} : 15_EB	15	6	p17: 1_B + p18: 1_B + p19: 6_B + p20: 5_B + p21: 1_B + p22: 1_B
5	p16_{3, 7} : 34_EB	34	3	p25: 7_EB + p26: 15_EB + p27: 12_EB
6	p34_{6, 4} : 1100_W-EB	1100	7	p59: 3_B + p60: 300_W-EB + p61: 4_LC + p62: 450_W-EB + p63: 6_LC + p64: 330_W-EB + p65: 7_LC
7	p46_{7, 2} : 1497_W-EB	1497	3	p80: 594_W-BB + p81: 6_LC + p82: 897_W-EB
8	p64_{8, 6} : 330_W-EB	330	11	p65: 7_LC + p66: 317_W-EB + p67: 0_LC + p68: 0_W-EB + p69: 0_LC + p70: 0_W-EB + p71: 0_B + p72: 0_W-EB + p73: 0_B + p74: 0_W-EB + p75: 6_B

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

#	Sum Cord	Sum Cord Value	# Summands	Summands
1	p13_{3, 4} : 18_EB	18	3	p4: 9_B + p5: 8_B + p6: 1_B
2	p16_{3, 7} : 34_EB	34	7	p3: 3_B + p4: 9_B + p5: 8_B + p6: 1_B + p7: 8_B + p8: 3_B + p9: 2_B
3	p26_{5, 3} : 15_EB	15	4	p20: 5_B + p21: 1_B + p22: 1_B + p23: 8_B
4	p27_{5, 4} : 12_EB	12	3	p19: 6_B + p20: 5_B + p21: 1_B
5	p42_{6, 12} : 320_W-EB	320	17	p12: 62_EB + p13: 18_EB + p14: 112_EB + p15: 15_EB + p16: 34_EB + p17: 1_B + p18: 1_B + p19: 6_B + p20: 5_B + p21: 1_B + p22: 1_B + p23: 8_B + p24: 16_EB + p25: 7_EB + p26: 15_EB + p27: 12_EB + p28: 6_EB
6	p44_{6, 14} : 400_W-EB	400	23	p6: 1_B + p7: 8_B + p8: 3_B + p9: 2_B + p10: 23_EB + p11: 43_EB + p12: 62_EB + p13: 18_EB + p14: 112_EB + p15: 15_EB + p16: 34_EB + p17: 1_B + p18: 1_B + p19: 6_B + p20: 5_B + p21: 1_B + p22: 1_B + p23: 8_B + p24: 16_EB + p25: 7_EB + p26: 15_EB + p27: 12_EB + p28: 6_EB
7	p54_{7, 10} : 1070_W-EB	1070	9	p25: 7_EB + p26: 15_EB + p27: 12_EB + p28: 6_EB + p29: 19_EB + p30: 4_EB + p31: 5_LC + p32: 1000_W-EB + p33: 2_LC
8	p64_{8, 6} : 330_W-EB	330	15	p11: 43_EB + p12: 62_EB + p13: 18_EB + p14: 112_EB + p15: 15_EB + p16: 34_EB + p17: 1_B + p18: 1_B + p19: 6_B + p20: 5_B + p21: 1_B + p22: 1_B + p23: 8_B + p24: 16_EB + p25: 7_EB
9	p66_{8, 8} : 317_W-EB	317	11	p9: 2_B + p10: 23_EB + p11: 43_EB + p12: 62_EB + p13: 18_EB + p14: 112_EB + p15: 15_EB + p16: 34_EB + p17: 1_B + p18: 1_B + p19: 6_B
10	p79_{9, 5} : 21_LC	21	5	p19: 6_B + p20: 5_B + p21: 1_B + p22: 1_B + p23: 8_B
11	p84_{9, 10} : 1108_W-EB	1108	16	p18: 1_B + p19: 6_B + p20: 5_B + p21: 1_B + p22: 1_B + p23: 8_B + p24: 16_EB + p25: 7_EB + p26: 15_EB + p27: 12_EB + p28: 6_EB + p29: 19_EB + p30: 4_EB + p31: 5_LC + p32: 1000_W-EB + p33: 2_LC

Khipu Notes:

Ascher Databook Notes:

A pendant fragment stored with the khipu was assumed to be part of pendant 37. Pendant 37 is broken at 16.0 cm.
A pendant fragment stored with the khipu was assumed to be part of subsidiary 84s1 The subsidiary is broken at 10.5 cm.
This is one of several khipus acquired by the Museum in 1907 with provenance Pachacamac. For a list of them, see UR1097.
By spacing and color patterning, the khipu is separated in to 3 parts. The first part is one pair of pendants; the second is 4 groups of 7 pendants each; and the last part is 4 groups of 14 or 16 pendants each.
The khipu has 2 different knot cluster arrangements. One is the standard arrangement involving single knot clusters and long knot clusters. The other arrangement is only long knot clusters in one or more of 3 distinct positions on a cord. For convenience, call the former S and the latter N. The S and N arrangements are alternated on the khipu. In part 2, pendants in groups 1 and 3 are all N while in groups 2 and 4, they are all S. In part 3, within each group, the pendants alternate N, S, N, S, etc. The color patterning reinforces the alternation: in part 2, in groups 1 and 3, all pendants are B and in groups 2 and 4, they are DB; in part 3, in the first 2 groups, the colors alternate LC, DB-W, and in the next 2 groups, they alternate LC or B, DB-W. Thus, the knot arrangements and colors alternate together so that the N arrangement is associated with B or LC and the S arrangement with DB or DB-W.
Some of the values on the pendants in groups 1 and 3 of part 2 sum to each other. Two relationships are repeated for pendants 3 positions apart. Namely:

P_3i + P_3,i+1 = P_1i for i=(1,4)

P_3i + P_1i = 2 P_3,i-1 for i=(4,7)