try:

\version "2.23"
 \relative c' {
   \set subdivideBeams = ##t
   \set baseMoment = #(ly:make-moment 1/12)
   \tuplet 6/4 { c16 c c c \tuplet 3/2 { c c c} }
 }

I have no experience with the more recent properties
beamMinimumSubdivision and beamMaximumSubdivision.

Toine Schreurs

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