Which preposition to use with interspaced

of Occurrences 2%

The will does not act in the interspaces of thought, for there are no such interspaces, but simply steps from the back of one moving thought upon that of another.

against Occurrences 1%

There men and women mingled indiscriminately, watching the divers, conversing, matching wits, exchanging gossip, some walking briskly around the promenade while others lounged on the marble seats that were interspaced against the wall between the statues.

between Occurrences 1%

All the interspaces between the backs of houses are gardens.

Which preposition to use with  interspaced