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**
AS021/KH0022 - Indexed Pendant Sum
**

**Drawings:**

**Right Handed Sums:**

*# Sums*= 1,

*Max # Summands*= 2,

*(Min, Mean, Max) Sum Values*= (11, 11, 11)

*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 | p23_{3, 5} : 11_{W} | 11 | 2 | p32: 3_{YB} + p41: 8_{W} |

**Khipu Notes:**

**Ascher Databook Notes:**

- 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.
- For comparison of Part I and Part II, the khipu is represented in Table 1

Note that:

- 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.)
- 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.)
- 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.
- 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.

- For comparison of the second and third groups within each Part, see Table 2.

Note that:

- 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
- 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.
- In Part I, of 9 possible color matches, 1 has no comparable cord and 2 are the same.
- In Part II, of 9 possible color matches, 2 are the same.

- Comparing the first 6 groups to each other the values have the following consistencies in rank order:

- For all 6 groups with and without subsidiaries: Pos 4
(breakage is ignored) - For groups 2, 3, 4 without subsidiaries, 5, 6: Pos 4
(breakage is ignored)

- For all 6 groups with and without subsidiaries: Pos 4
- 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 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 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 |

**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 |