I dunno about that. you can skip the last digit in the year if you care only about season, you're thus left with 36 10-day periods, I guess that granularity is a little high, but I don't think it's a *lot* harder.
Do you need a jacket for an event at 22/36 of a year isn't much harder than Do you need a jacket for an event at 8/12 of a year which is the current system.
Multi-part version-number can confuse too; I've seen several people be confused about what is better: 2.27 and 2.3 if you read them as decimals, you'll end up thinking that 2.3 is the higher number thus the newest version.