FFT Resolution Inference
You can use interpolation (or equivalent zero-padding) to get your desired sub-divided 512 frequency points from your 220 FFT bins.  Use a Sinc interpolation kernel for a rectangular window, or the transform of the window for other windows.  If you want more real frequency resolution (as in clear separation of multiple peaks present in the frequency spectrum), you will have to use (overlap or "smear") more than 10 mS of data (perhaps over 50 mS).