I am spending the late hours with a sleepy cat, sparkling wine and my Five12 Vector Sequencer manual. Who said the pandemic can’t be exciting!
FYI p.6 says Vector supports any custom tuning in the MTS (midi tuning specification) format. So Vector would offer you a very powerful sequencer that supports custom tunings. Not only could this give you your fundamental pitch values but because Vector supports multiple independent parts, you could use the additional part pitch information to drive settings for your upper timbral partials. So maybe all you need is a great sequencer that supports multiple parts in nonstandard tunings, some OSCS with great pitch tracking, a tuner to help you tune OSCS to get your initial timbre, and a MST tuning file that supports your desired timbre and complementary scale. This might save you the need of finding very specialized oscillators. An option worth thinking about anyway.
Cheers!