NES Castlevania: Whip Frame Tutorial for Bat Crit
Clunk - Walk = +16 frames
Jump Clunk - Whip = +36 frames
Frame #1 - Whip = +20 frames
Frame #2 - Top = 0 frames
Frame #3 - Walk = 0 frames
Frame #4 - Whip Top = +20 frames
Frame #5 - Whip = +24 frames
Frame #6 - Top = +4 frames
Frame #7 - Walk = +4 frames
Frame #8 - Whip Top = +28 frames
This looks like the manipulation required to get the fast bat alternates every four frames. I did not do further testing to verify this via the code to analyze the RNG itself but at least from this data it appears to do this. This is why there are only four mummy patterns, which is also which frame they are triggered, and likewise with frame management you can aim for a particular frame to get a specific mummy pattern, the fastest of the four.
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