I figured something out myself :)
Now that Sigfrid Karg-Elert's works are public domain, him having been
dead for over 70 years, I'm fiddling with his 25 Caprices & Sonata for
solo saxophone (op. 153).
The Sonata's 2nd movement is in fast 3/4 time, with one beat to the bar,
and its time signature is a simple number "1".
I found that using
\override Staff.TimeSignature #'style = #'single-digit (which I've used
before), and
\set Staff.timeSignatureFraction = #'(1 . 4)
produces exactly the desired result.
So thanx again for this wonderful software.
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