Here is my attempt at understanding what's going on here
When the demon Ummnu provokes Murrumur and she poses the question "How can the end be already in the middle of the beginning". The answer is that being is becoming; the end IS the beginning (which on a circle is the middle). Being is also selection, and so Ummnu, Murrumur, Katak, and Oddubb which moves through the time circuit. There are two returns/affirmations which interact. The great eternal return of the cosmic period (the time circuit), smaller return which takes the cosmic period as its object. In a second sense, that which is capable of taking the cosmic period as its object, we also have the will to power considered as the great ring which is affirmed by an inner loving reflection that affirms its own difference.
Ummnu, and internal reflection to Murrumur, selects for the end and brings its message to Murrumurr [9::8] (half hidden in the depths of Murrumur [8::1] and half hidden deeper still) is unknown to Katak and Oddubb -- [5::4] and [7::2] respectively. Katak knows only becoming as being, only being as rushing around the time circuit, Katak selects for destructive force and action, things have simply always been happening. She hears the riddle and rushes off to her lair: that is she patrols Time again (for the first time, as every cycle is different, every "again" is the first), and becomes ever more certain things don't change. Oddubb forgets even her forgetting, until it's entirely uncertain that there was ever anything to be certain about. Oddubb selects for forgetting to make room to take action. Murrumurr is selection of withdrawal and contemplation and can never forget enough to come to a conclusion that would lead to action. Murrumur (always deep in contemplation) can't forget, and so cannot cast off the question. She may figure it out, but then again -- since it has already been so long -- maybe she never will. All three together make up the transmutation of the great cosmic period. contemplation -> forgetting -> action -> contemplation