Let us examine the remaining numbers in a descending order. What happens to the number 8 when we apply the above formula? Observe that for 8xN = XY where X+Y = 9 only when N = 9. For all other numbers, X+Y < 9 and the sum falls away in a decreasing order as N increases. (Figure II) for the Graph of 8 and learn how it is falling down one step at a time. Therefore 8 is a feeble number that can not be used in any of the Gadaa function and the Oromos named it as “Saddettan dhalaa Nenxaa” the gestation period of a lion.
The next number is 7. We apply the same formula as we did for the number 9 and 8 i.e., 7xN = XY, where X+Y = 9 or X+Y < 9. Through this operation, the product of the number 7 adds up to 9 only when N = 9. When N is any number other than 9, the sum of X+Y rises and falls following an inconsistent cycle. The Graph of 7 (Figure III) shows how X+Y is falling down two steps and rising up one step at a time non-uniformly. Therefore 7 is a number that shows a reasonable strength but not sufficiently strong enough to serve in a Gadaa system. However, its function is limited to Sundays’ service and the Oromos named it “Torbban Nannoo Dilbataa”, the cycle of Sundays. It is a formal meeting day or prayer’s day to Waaqaa (God)
Let us take the next number, which is 6. Observe what happens if we use the formula as we did for the numbers 9, 8 & 7. 6xN = XY, where X+Y = 9 or X+Y < 9. Through this operation, this number merges to 9, when N = 9, 6 & 3. When N is a number other than 9, 6 & 3 the result falls away from the graph of nine in a descending order. See Figure IV for the Graph of 6 and learn how it is falling down double steps to reach its destination but only a single step to hit the graph of 9. Therefore, 6 is a medium number that can be used in the Gadaa function as a regional subdivision of Oromia (Biyyaa Oromo) and is referred to as “Jahan Jabbii Qaraxxaa”, the taxation which implies administration. A very strong and tangible proof for this scenario is that there are only six Odaa centers in Oromia. The six administrative (legislative) regions are Odaa Bisil, Odaa Bultum, Odaa Gaares, Odaa Makoodii, Odaa Nabee and Odaa Roobaa.
What happens when we apply the above formula to the number five? Through this operation, the sum of X+Y for 5xN = XY approaches 9, after only five uniform cycles. When N is a number other than 9, the result decreases and increases in a uniform pattern. The Graph of 5 (Figure V) clearly illustrates this pattern. Therefore, 5 is a sophisticated strong number that is used in the Gadaa function as a judiciary group of Oromia and is referred to as “Shanan Qubaa harkaa”. Just as we have five fingers for effective coordination and five senses for absolute judgment the Oromos trust a group of five Abbaa Gadaas to interpret the law of the Land (Orimia).
Observe what happens to the number 4 when we use the formula 4xN = XY, where X+Y = 9 or X+Y < 9. Through this operation the value of X+Y approaches 9, after only three cycles. As N increases (N = 1, 2,3…) the peaks of the three cycles fall away from the Graph of 9 in a decreasing order. However, when N = 9, the fourth peak merges with the Graph of 9 (Figure VI). Therefore 4 is classified as a weak number that can not be used in the Gadaa functions of Oromia (Biyyaa Oromo) and is referred to as “Arffan Muchaa Sayyaa”, the four teats on the udder of a cow.
The number 3 is very fascinating. For 3xN = XY where X+Y=9 or X+Y < 9, when N= 9, 6 & 3, the peaks for the Graph of 3 touch the Graph of 9. When N is any number other than 9, 6 & 3 the sum of X+Y falls away from 9 in a descending order. Observe Figure VII for the Graph of 3 and learn how it is falling down in one shot (a fact that 3 is much stronger than 6) and rises up and touches 9 in two steps. Therefore, 3 is a powerful number that is used in the Gadaa function as an administrative and defense committee. The number 3 is classified as “Sadan Sunsummanii”, broad based. A very solid and tangible proof for this scenario is the term “Sunsumaa” which translates into the word “tripod”. Therefore, the Oromos fixed the number of council in the area of defense and administration to 3.
Take the next number “2”. Observe what happens to the values for the formula 2 x N=XY, where X+Y=9 or X+Y < 9. The sum of X+Y reaches the Graph of 9 only when N = 9. See Figure VIII to learn that for all numbers other than 9, the graph shows one cycle, which rises to its peak in three steps and falls off to its lowest value in just one step. Therefore 2 is a feeble number that can not be used in any of the Gadaa function and the Oromos named it as “Laman Muchaa Re’ee”, the teats on the udder of the she goats.
The last number is 1. One does not change the value of any number that it is multiplied with (1xN = N). As N increases (N = 1,2,3…) the Graph of 1 approaches the Graph of 9. Therefore 1 is an impotent number that can not be used in any of the Gadaa functions and the Oromos refer to it, as “Tookken Tookkituma”, one is always one.