Which preposition to use with immediacy

of Occurrences 5%

[Footnote 15: no interval abated, taken off the immediacy of the order respite granted.

in Occurrences 1%

One feels almost affectionate; a certain sincerity, a certain immediacy in his response to stimuli, are endearing qualities; one quite understands that it was natural, on the pretext of changing house, to send him a dozen of wine.

Which preposition to use with  immediacy