Emily Howard is a multi-award-winning composer who is deeply fascinated with the "poetry" that can be found in mathematical shapes and processes. The development of a series of geometry-inspired orchestral works has been central to her creative practice over recent years, and these Orchestral Geometries make up three of the four pieces on Howard's new album, Torus.

The work which gives the album its name, Torus, was a 2016 BBC Proms Commission described by The Times as "visionary", and was the winner of the orchestral category of the 2017 British Composer Awards. Here the BBC Symphony Orchestra conducted by Martyn Brabbins bring to life Howard's meditation on the shape which her collaborator, the mathematician Marcus du Sautoy describes in his notes for the album as "a finite flat geometry where top and bottom are joined into a cylinder which is then connected at both ends to make a doughnut shape." Howard translates this into vivid music punctuated with continual oscillations and pulsations, with the void in the centre of the shape playing a vital part in this music of stark contrasts.

Antisphere, which was featured in the Barbican's high-profile Life Rewired season in 2019, interprets the impossibly concave imaginary shape of its namesake. An uncanny panorama of "huge gyrations" and "estranged pitches" (Paul Griffiths), are heard here performed by the BBC Philharmonic with conductor Vimbayi Kaziboni.

Although she is inspired by the intricate mathematical properties of each form, Howard goes further to produce her Orchestral Geometries. She meditates on each form, its distinct character and "shape-energy", saying, "the musical score often emerges through the consideration of multiple journeys around the imagined entity, from multiple viewpoints." During the composition of the smallerscale work sphere, Howard imagined travelling across the convex surface of the shape, encountering different landscapes which are brought to life in this recording by the BBC National Orchestra of Wales conducted by Mark Wigglesworth.

The newest work on the album is Compass for string septet (Birmingham Contemporary Music Group with conductor Gabriella Teychenné) and solo percussionist (Julian Warburton). Howard conceives of this piece as a synthesis and evolution of her Orchestral Geometries, elaborating on the soundworlds of all three geometric forms, producing music which is more weird, more abstract, perhaps symbolising a new chapter in the composer's body of work.

This new album follows Magnetite, the critically-acclaimed portrait disc which NMC released in 2016 as part of the label's Debut Disc series.