Qirat is one of four winners out of Emulous (Dansili), winner of the Gr.1 Matron Stakes, and is her second Group 1 winner after his half-sister Bluestocking (Camelot), who won the Gr.1 Arc, the Gr.1 Prix Vermeille and the Gr.1 Pretty Polly and was a Group 1 winner in both France and Ireland. Emulous also produced Desirous (Kingman), dam of Sand Gazelle (Frankel), winner of the Listed Lyric Fillies' Stakes, and of War And Peace, herself the dam of the winners Cathedral (Too Darn Hot), second in the Gr.3 Prix Chloe and the Gr.3 Oh So Sharp Stakes, and Firebird (Lope De Vega), second in the Gr.3 Ballyogan Stakes.

Second dam Aspiring Diva (Distant View) won in France, was Listed-placed and had four other winners. Among them are two full sisters to Emulous: First Sitting, winner of the Gr.3 Prix Gontaut-Biron, and Daring Diva, winner of the Listed Criterium de Vitesse. Daring Diva produced Brooch (Empire Maker), winner of the Gr.2 Ridgewood Pearl Stakes in Ireland and dam of Mandaloun (Into Mischief), winner of the Grade 1 Kentucky Derby and the Grade 1 Haskell and now a sire, as well as the Listed winner Caponata (Selkirk), dam of Merrily (No Nay Never), winner of the Gr.3 Oh So Sharp Stakes. Aspiring Diva is also the second dam of Alounak (Camelot), a Group 3 winner in Germany and second in the Grade 1 Canadian International.

Third dam Queen Of Song (His Majesty) won at Grade 2 level in the US and bred eight winners. She is a full sister to Cormorant, a Grade 1 winner in the US and a sire, and her daughter Ladyago (Northern Dancer), a minor stakes winner in the US, is an ancestress of Dorth Vader, winner of the Grade 1 Ogden Phipps Stakes in 2025.

Emulous has an unraced 2-year-old filly, Serenetta (Kingman), and a yearling filly by Frankel.