Ascher Databook Notes:
  1. By spacing there are 10 groups. Basically each has 8 pendant cords (group 5 has one additional pendant and group 9 has one less).
  2. The groups show similar color patterns: in all cases the first pendant is W; with two exceptions, the second is MB; positions 3 and 4 are inconsistent but are the only positions which contain the combined colors (YB: LA, YB: W, CB: W, LA: W); with one exception, pendants 5, 6, and 8 are YB or MB; and with two exceptions, the seventh pendant is 0G. (This assumes that the extra pendant in group 5 is between the fifth and sixth pendant positions and that in group 9, position 7 is non-existent.)
  3. Subsidiaries appear on all positions. There are 3 to 5 subsidiaries on the pendant in position l; at most one subsidiary in position 8; at most 2 in positions 2,3,4,6,7; and at most 3 in position 5.
  4. Assuming an error of ls knot on pendant 1 in group 5 (i. e., the value should be 109 rather than 9), in all groups the value of position 1 is greater than the values in the other positions. Pendant 1 ranges from 83 to 115, while the rest of the values are from O to 59. If subsidiary values are added to pendant values, this relationship remains as the range of position 1 is increased from 101-158 while the range of the others remain 0-59.
  5. There are some relationships based on the sums of adjacent pendants.
    1. The sums of pendants 1 and 2 are equal for groups 1 and 2. Also the sums of pendants 3 and 4 are equal for both groups.
    2. The sums of pendants 1 and 2 are equal for groups 4 and 7. Also, in group 4, the sum of pendants 1 and 2 equals the sum of pendants 3,4,5,6. This same value (119) is obtained by summing all pendants excluding 1 and 2 of group 5.
    3. In group 8, the sum of pendants 1 and 2 equals the sum of the rest of the pendants in the group.
    4. In group 10, pendant 1 equals the sum of the rest of the pendants in the group.
  6. AS047 and AS068 are associated. They were labeled by the Museum with the same identification number. They are also similar in color, groupings, and values.
    1. The colors W, MB, YB, CB, LA, 0G appear individually or in combination on both khipus. No other color appears on either. (It is interesting to note that our recording of AS047 and AS068 were separated by more than a week and by travels within Peru. Our reidentification of the same colors, for what turned out to be related khipus, serves to support our constancy in color-name selection.)
    2. AS068 has 2 parts each containing sets of 1, 5, 10 groups of 7 pendants each, while AS047 is j ust one set of 10 groups of 8 pendants each. However, there is some similarity of color pattern. In both, for all groups, position 1 is W, position 2 primarily MB, and the last position is primarily YB. In AS047, and in the set of 10 groups in the first part of AS068, the next to last pendant is primarily 0G.
    3. AS047 is further related to the sets of 10 groups of AS068 by order of magnitude of the pendant values. The center and extent of the range of values for each position in the 10 groups of AS047 and 20 groups (2 sets of 10 groups each) of AS067/MA029 are shown below. Note that in observation 2 above, positions 3 and 4 were identified as being similar to each other in that they both contain a variety of combined colors. If their values are added together, the range of sums corresponds to position 3 on AS068. It too is a combined color. All the relationships together suggest that the 8 positions of AS047 can be directly associated with the 7 positions of AS068 as follows:

      1 to 1, 2 to 2, 3 & 4 to 3, 5 to 4, 6 to 5, 7 to 6, and 8 to 7.

      AS047
      Position 1 2 3 4 5 6 7 8
      Value Range 95±20 21±14 27±14 16±08 34±35 25±14 27±19 14±14
      AS068
      Position 1 2 3 4 5 6 7
      Value Range 86±40 21±14 43±32 32±22 31±22 36±21 11±11

      One adjacent sum relationship similar to those noted in observation 5 above is found in the last group of the first part of AS068. In it the sum of pendants 1 and 2 equals the sum of the rest of the pendants in the group.

    4. AS068 has two parts each of which has the following form:
      1. 1 group whose values, position by position, are the sums of the 5 groups in B, or whose values are the order of magnitude of the sums.
      2. 5 groups whose values, position by position, are the order of magnitude of the sums of the 10 groups in C.
      3. 10 groups.

      Thus, C, the set of 10 groups is, in some sense, the data base from which the rest of the values in B and A are constructed. AS047 is another such data base.

  7. In keeping with the association of AS047 and section C of AS068, and in keeping with the association of position 5 in the groups of AS068 and position 6 in the groups of AS047, another sum relationship is seen: the position 5 sum of the 10 groups of section C of Part I of AS068 equals the position 6 sum of the 10 groups of AS047.