More experiences gained on the school of magic world (the world of magic?).
Initiation levels that are complete are counted as full initiations. They are in the system graded as level 1. The paths which initiate at level 0.5 are actually called negative initiation because level 1 is treated as the foundation or "ground level" point. Anything below the base level is "negative". But this is rarely talked of.
For the strange path Fallen - reverse Shadow, initiation is at level 80. This means level 80 = level 1 in this path. Normally, it's not considered possible to initiate negatively at expert or advanced paths, but there is mentioned in literature a possibility of master level 80 paths being possible to have negative initiations, which are any level below 80. 1/2 = 0.5 so 80/2 = 40 is then the same kind of initiation. But that is still very high. Bringing 80 down to 1/8 would mean 80/8 = 10 which is where "external paths" end up. These are general frameworks which max out at level 10 and are not registered at the school because they are of a general nature. The exception to this are the herbal, floral, command, word, and elemental paths which all start at 0.5 and they are accepted because everyone uses them.
However, there is theoretically nothing saying one could not initiate Fallen - reverse Shadow level 0.5 which would mean master level 80/160, an extreme negative level, comparable to level 0.00625 of herbal magic, for example. No one would think someone at that skill level is "initiated", your level would be higher if you can just prepare tea. For this reason, it was not included in the system, but it is still possible.