ducally

du·cal

 (do͞o′kəl, dyo͞o′-)
adj.
Of or relating to a duke or duchy: a ducal estate.

[Middle English, from Old French, from Late Latin ducālis, from Latin dux, duc-, leader; see duke.]

du′cal·ly adv.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
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References in periodicals archive ?
Instead, it's being "ducally gorged" which sounds equally (if not more) unpleasant, but which simply means the placement of the coronet when a person holds the rank of duke or duchess.
Principally, or (if I may be allowed the amendment) perhaps Ducally, His Grace acknowledged himself beguiled by Cranach's portrait of our young Countess, praising the design, the hues, the glaze - the frame!
the "ducally privileged instrument maker in Jena," published his Beschreibung eines zweckmaBigen und bequemen Lothrohrs ("Description of a practical and comfortable blowpipe").