There could be an ordinal theory but for saloon comments:

ordinal theory for sats:

common: Any sat that is not the first sat of its block
uncommon: The first sat of each block
rare: The first sat of each difficulty adjustment period
epic: The first sat of each halving epoch
legendary: The first sat of each cycle
mythic: The first sat of the genesis block

ordinal theory for saloon comments:

common: any comment that is not the first in the saloon
uncommon: first comment in a saloon
rare: the first comment in the saloon in each difficulty adjustment period
epic: the first comment in each halving epoch
legendary: the first comment in each cycle
mythic: the first comment in the first saloon

since I also didn't know what is meant with cycles, I am adding the quote from the handbook here:

Cycles: Every six halvings, something magical happens: the halving and the difficulty adjustment coincide. This is called a conjunction, and the time period between conjunctions a cycle. A conjunction occurs roughly every 24 years. The first conjunction should happen sometime in 2032._

wanted to add a category for every 100th comment in a saloon but I leave this as an exercise to the reader