>>58254060The game doesn't explicitly outline the requirements for discovering new sleep styles, it just vaguely counts up "total species" when Snorlax reaches a new strength rating. This counter is mislabelled, it's the pool of sleep styles you can encounter at your current rating, but you still need high enough Drowsy Power and the correct type of sleep for a shot at encountering a given species and sleep style.
It's also possible that your Snorlax's strength with 100 sleep score, doesn't provide enough Drowsy Power to encounter a sleep style despite passing the rating threshold. You need things like event bonuses that multiply Drowsy Power further in those scenarios.
Anyway, there's eternal resources based on data mining, that outline the minimum rating and Drowsy Power requirements for encountering Pokémon.
For Raikou, the guideline is approximately 40.8m DP for 1 star sleep, 115.9m DP for 2 star sleep, 243.1m DP for 3 star sleep, across all islands. On Greengrass, that's Master 9, 13, and 19 respectively.
Compared to Raikou's requirements, I'd say Entei's are about 8% higher, and Suicune's are about 13% higher.
If you're using an incense, this bypasses the minimum DP check for the Pokémon to appear, but you still need to meet the DP requirements for anything above 1 star sleep. I can't remember for certain if this bypasses the Snorlax rating requirement, such as if you have more than 243m DP due to an event multiplier, but don't yet have the 2.6m strength needed for Master 19 and 3 star Raikou sleep.
