AS021/KH0022 - 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 = 6,  Max # Summands = 5,   (Min, Mean, Max) Sum Values = (11, 18, 32)
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Left Handed Sums:     # Sums = 10,  Max # Summands = 5,   (Min, Mean, Max) Sum Values = (11, 19, 32)
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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			p11, 1 : 22W	22	2	p17: 11W:AB + p18: 11W:AB
2			p102, 1 : 32W	32	5	p30: 8W + p31: 3W:BB + p32: 3YB + p33: 8W + p34: 10W:AB
3			p162, 7 : 15W	15	2	p35: 8W + p36: 7G0
4			p193, 1 : 12W	12	2	p40: 4YB:GY + p41: 8W
5			p243, 6 : 16W:BB	16	2	p29: 8W + p30: 8W
6			p263, 8 : 11W	11	2	p30: 8W + p31: 3W:BB

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

#	Color	Sum Schema	Sum Cord	Sum Cord Value	# Summands	Summands
1			p102, 1 : 32W	32	5	p2: 8YB + p3: 8AB:BB + p4: 3W:BB + p5: 4W:AB + p6: 9W
2			p112, 2 : 11W	11	2	p3: 8AB:BB + p4: 3W:BB
3			p122, 3 : 13W	13	2	p5: 4W:AB + p6: 9W
4			p162, 7 : 15W	15	2	p8: 8W + p9: 7AB:BB
5			p193, 1 : 12W	12	2	p13: 4AB:BB + p14: 8W
6			p243, 6 : 16W:BB	16	3	p4: 3W:BB + p5: 4W:AB + p6: 9W
7			p285, 1 : 22W	22	2	p25: 11W + p26: 11W
8			p376, 1 : 31W	31	3	p19: 12W + p20: 13W:AB + p21: 6YB
9			p386, 2 : 11W	11	2	p32: 3YB + p33: 8W
10			p467, 1 : 30W	30	5	p29: 8W + p30: 8W + p31: 3W:BB + p32: 3YB + p33: 8W

Khipu Notes:

Ascher Databook Notes:

1. This khipu consists of 2 main cords tied together. The main cord on each part is a different color. Part I, by spacing, contains 3 groups of 9, 9, 8 pendants and Part II, by spacing, contains 4 groups of 9, 9, 9, 6 pendants, respectively.
2. For comparison of Part I and Part II, the khipu is represented in Table 1
   
   Note that:
   
   1. When the numbers in Part I are compared with the numbers in Part II, of 36 possible matches, 5 are unknown due to breakage, 4 have no comparable cords, and 23 are the same. In the 4 cases where differences are present, the value in Part I is larger than the value in Part II. (In 3 of the 4 cases, the values differ by 1 on 1 pendant in each of the 3 groups. The fourth case is a difference of 3 on a subsidiary.)
   2. When the colors in Part I are compared with the colors in Part II, of 36 possible matches, 4 have no comparable cords and 11 are the same. (The 11 similarities do not occur on subsidiaries and include only colors W, BB:W, AB:W.)
   3. Subsidiaries occur in the same positions in Part I and Part II. d) Although some colors appear on both Part I and Part II, BB and AB:BB appear only on Part I, while G@, GY, and YB:GY appear only on Part II.
   4. In Part I, the digit 1 in the units position is represented by a figure eight knot. In Part II, single knots are used instead.
   
   
3. For comparison of the second and third groups within each Part, see Table 2.
   
   Note that:
   
   1. In Part I, of 9 possible number matches, 1 has no comparable cord and 5 are the same. In the 3 cases where differences are present, the value in group 3 is larger than the value in group
   2. In Part II, of 9 possible number matches, 4 are unknown due to breakage, and 4 are the same. In the 1 case of difference, the value in group 3 is larger than the value in group 2.
   3. In Part I, of 9 possible color matches, 1 has no comparable cord and 2 are the same.
   4. In Part II, of 9 possible color matches, 2 are the same.
   
   
4. Comparing the first 6 groups to each other the values have the following consistencies in rank order:
   
   1. For all 6 groups with and without subsidiaries: Pos 4(breakage is ignored)
   2. For groups 2, 3, 4 without subsidiaries, 5, 6: Pos 4(breakage is ignored)
   
   
5. The last group has all 6 pendants blank and turned upward. These might refer to the previous 6 groups (3 in Part I, 3 in Part II)

Table 1

Part 1 - Group 1

W	YB	AB:BB	BB:W	AB:W	W	W	W	AB:BB
sWsBB	sWsBB	sYB	sBB:W	sAB:BB	sWsBB	-	-	-
22	8	8	3	4	9	10	8	7
s5s?	s2s?	s2	s3	s2	s2s?	-	-	-
22	8	8	3	4	8	10	8	7
s5	s?	s?	s0	s2	s2	-	-	-
W	W	W	BB:W	YB	W	AB:W	W	G0
sYB	s?	s?	sYB	sYB	sYB	-	-	-

Part 2 - Group 4


Part 1 - Group 2

W	W	W	AB:BB	W	W	W	AB:W	AB:W
32	11	13	4	8	11	15	11	11
31	11	?	4	8	11	15	11	11
W	W	YB	YB:GW	W	W	W	AB:W	GY

Part 2 - Group 5


Part 1 - Group 3

-	W	AB:W	YB	AB:W	W	BB:W	W	W
-	12	13	6	8	11	16	11	11
3?	11	13	6	8	?	1?	11	11
W	AB:W	W	BB:W	W	YB	YB	W	YB

Part 2 - Group 6


Table 2

Part 1 - Groups 2,3

Group 2	W	W	W	AB:BB	W	W	W	AB:W	AB:W
Group 2	32	11	13	4	8	11	15	11	11
Group 3	-	12	13	6	8	11	16	11	11
Group 3	-	W	AB:W	YB	AB:W	W	BB:W	W	W
Group 5	W	W	YB	YB:GY	W	W	W	AB:W	GY
Group 5	31	11	?	4	8	11	15	11	11
Group 6	3?	11	13	6	8	?	1?	11	11
Group 6	W	AB:W	W	BB:W	W	YB	YB	W	YB

Part 2 - Groups 5,6