If it was shot in 24p then you need to play it back in 24p for the best results. If you have a projector or TV that can interpolate frames then let the projector or TV do that. With interpolated frames you can get 24p to look eerily realistic - some may like this effect or some pay prefer the effect of the original 24p (the way the film was shot).
Examples of a projectors that will do this - Panasonic AE4000.
Converting to 60 Hz which is not a mutiple of 24 Hz is not going to give you the highest quality no matter what you do.
Examples of a projectors that will do this - Panasonic AE4000.
Converting to 60 Hz which is not a mutiple of 24 Hz is not going to give you the highest quality no matter what you do.