Polyhymnia received positive reviews from critics.
DownBeat awarded the album four stars out of five, stating the album "further establishes [Ahmed] as one of the more creative new voices in jazz" after the critical success of her previous album,
La Saboteuse (2017).
Jazzwise included the album in their list of the best jazz albums of 2019, describing its music as "rich, sonorous, big, melodic, put[ting] a kick in your heels and a smile on your face". ==Track listing==