How to vertically align text to the middle of page

I want to vertically align the text to the middle of the page, if the text is not long enough to fill out the page.

For example if I write 1,5 pages: The first page is full and therefore the text is automatically aligned to the middle in a sense. This is because there is no more space above or below it within the text area. It is full. The second page is half full, and I want that page to align to the middle of the page, with the distance between the top and the bottom being equal (or there abouts)

I have tried vplace but it only works, if the text is confined to one page. I want it to work, regardless of whether there are one or more pages in the document.

Mininal example that works (with one page):

documentclass[12pt,a4paper,onecolumn,oneside,final]{memoir}
usepackage{lipsum}
begin{document}
begin{vplace}
lipsum[1]
lipsum[1]
end{vplace}
end{document}

Mininal example that does not work (with one and a half page):

documentclass[12pt,a4paper,onecolumn,oneside,final]{memoir}
usepackage{lipsum}
begin{document}
begin{vplace}
lipsum[1]
lipsum[1]
lipsum[1]
lipsum[1]
end{vplace}
end{document}

I have also tried makeatletter let@texttop@textbottom makeatother which doesn’t seem to do anything.