KH0022/AS021 - Pendant Pendant Sums

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