Put them in separate files so they act as chapters on their own page, but untitled. Have a top margin of about 1/3 page, maybe 4 em (rather than vertically centring, which is very tricky, if possible at all).
If you want to list them in the TOC, you can call them "Interlude 1, 2, 3..." You don't need to put that visibly on the actual page though, can do it as hidden text so it is picked up if you generate the TOC from headings, e.g.:
<h1 style="height:0; margin:0" title="Interlude 2"/>
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