Request the Last Duchess to sing of other than what she would.
From Fallen London Wiki
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From: Sink or Swim
Perhaps she would do otherwise, if you asked.
Unlocked with 
The Admiration of a Duchess 3
Locked with 
Last Duchess Sang (hidden)
Success
Up Above
She […] begins to sing, in a voice so earnest one cannot help but listen.
She sings of laying off cares, […] having no titles, no deeds, no chains: only the moment, and her own happiness to attend […] Her voice falls away, till the cave is haunted only by […] echoes.[Find the rest of the story at https://www.fallenlondon.com]
You've lost 3 x The Admiration of a Duchess
The whale is inclined towards the heights. (Increases 
Whalerise by 1)
An occurrence! Your 'Last Duchess Sang' Quality is now 1! (hidden)
