There has been so far one creator-endorsed musical album inspired by The Property of Hate, and a second one currently in-process.
The Property of Hate: Vol 1 Edit
Composed by online artist "Electronic Orange Juice" and given Modmad's blessing and cover art, this was the first original "soundtrack" to the comic. Originally starting as single tracks posted on tumblr, the whole thing was released as a Bandcamp album on December 1st, 2015. Purchase of the album includes an un-watermarked cover, and two exclusive pieces of bonus art drawn by Mod. It is 9 tracks and about 25 minutes long.
The Property of Hate: Vol 2 Edit
Inspired by the first album and the success of Homestuck's "Beforus Album" project, tumblr user anxious-traveler and Mod began work to collaborate on a second TPoH-based release based on multiple aspects of the comic. It is intended to be a collaborative project, incorporating music, art, and lyrics submitted by multiple fans. It is currently accepting/requesting more contributors.