**AS050/KH0061 - Colored Pendant Sums**

**Drawings:**

**Right Handed Sums:**

*# Sums*= 8,

*Max # Summands*= 8,

*(Min, Mean, Max) Sum Values*= (27, 131, 627)

*Click on Image to View Larger*

**Left Handed Sums:**

*# Sums*= 1,

*Max # Summands*= 3,

*(Min, Mean, Max) Sum Values*= (190, 190, 190)

*Click on Image to View Larger*

**Right Handed Sum Detail:**-

*Click on column name to sort*

# | Color | Sum Schema | Sum Cord | Sum Cord Value | # Summands | Summands |
---|---|---|---|---|---|---|

1 | p10_{1, 10} : 97_{B} | 97 | 6 | p45: 1_{B} + p46: 10_{B} + p50: 40_{B} + p58: 10_{B} + p83: 12_{B} + p93: 24_{B} | ||

2 | p13_{1, 13} : 62_{BD} | 62 | 7 | p53: 30_{BD} + p90: 1_{BD} + p109: 2_{BD} + p145: 5_{BD} + p163: 12_{BD} + p182: 2_{BD} + p200: 10_{BD} | ||

3 | p18_{1, 18} : 45_{B} | 45 | 5 | p209: 1_{B} + p210: 11_{B} + p220: 20_{B} + p256: 10_{B} + p268: 3_{B} | ||

4 | p21_{2, 2} : 627_{W-B} | 627 | 8 | p79: 100_{W-B} + p97: 100_{W-B} + p115: 80_{W-B} + p133: 70_{W-B} + p151: 141_{W-B} + p170: 22_{W-B} + p206: 104_{W-B} + p224: 10_{W-B} | ||

5 | p30_{2, 11} : 56_{B} | 56 | 3 | p160: 29_{B} + p166: 13_{B} + p178: 14_{B} | ||

6 | p33_{2, 14} : 27_{BD} | 27 | 3 | p218: 10_{BD} + p254: 11_{BD} + p272: 6_{BD} | ||

7 | p37_{2, 18} : 92_{B} | 92 | 6 | p160: 29_{B} + p166: 13_{B} + p178: 14_{B} + p184: 5_{B} + p202: 30_{B} + p209: 1_{B} | ||

8 | p50_{3, 11} : 40_{B} | 40 | 3 | p268: 3_{B} + p274: 10_{B} + p287: 27_{B} |

**Left Handed Sum Detail:**-

*Click on column name to sort*

# | Color | Sum Schema | Sum Cord | Sum Cord Value | # Summands | Summands |
---|---|---|---|---|---|---|

1 | p297_{17, 2} : 190_{W-B} | 190 | 3 | p224: 10_{W-B} + p242: 100_{W-B} + p260: 80_{W-B} |

**Khipu Notes:**

**Ascher Databook Notes:**

- By spacing and color patterning, the khipu is separated into 3 parts : part 1 is 3 groups, and parts 2 and 3 are 7 groups each.
- Part 1: Assuming that position 10 in group 1 is non-existent, this part consists of 3 groups of 20 pendants each. The color pattern is the same for all 3 groups (with the exception of position 17 in group 3). In all 3 groups, subsidiaries appear only in positions 3, 8,9, 11, 14, 15, 16, 18, 19, 20.
- Parts 2 and 3:
- Each part is basically 7 groups of 18 pendants. The exceptions of 2 groups with 19 pendants are systematic. The 6th group in each part has an additional W pendant between positions 7 and 8.
- Each group in parts 2 and 3 has the same color pattern (with the exception of position 8 in groups 4 and 5 and position 18 in group 4). The color pattern is the same as in part 1 with the systematic difference that positions 5 and 8 of the part 1 pattern do not exist. Thus, there are 18 pendants in each group in parts 2 and 3 as compared to 20 pendants in each group in part 1. Also, while the color in position 19 of the groups in part 1 are B, in parts 2 and 3, the comparable position is BD.
- Subsidiaries on pendants in parts 2 and 3 are on a subset of the positions they are on in part 1. Namely, subsidiaries are only on positions comparable to positions 9,15,16,18,20 of part 1.

- Many values are uncertain due to breakage. However, we hypothesize that, position by position, values in group 1 of part 1 are related to the sums of values in groups 2 and 3 while values in groups 2 and 3 are related to sums of values in parts 2 and 3 respectively.