Miranda originally envisioned the project as an EP with different tracks being performed by different artists with different styles. The original title was "The Hamilton Mixtape."
Miranda told Playbill.com that the project is still in the planning stages, but he hopes it will come together quickly. "We don't know what the EP is yet. That's going to hopefully come out in January."
He said he has sent the score to various, yet-unnamed performers, with the goal of bringing the recording out by the anniversary of Alexander Hamilton's birthday on Jan. 11, 2016.
"We're trying to time it out with Hamilton's birthday on Jan. 11, but we'll see what we make first. We're giving the score to artists and saying, 'What do you make of it?' We have some of the artists; we don't have all of the artists."
Miranda said there was also a chance that the recording would be tied in with the recently-announced Rockefeller Foundation initiative to bring New York City high school juniors in to see the show at a substantially reduced price.
The Daily News had previously reported that Atlantic Records, which released show's cast album Sept. 25, is interested in releasing the EP.
Members of the Grammy-winning band Roots—band leader (and drummer) Ahmir "Questlove" Thompson and co-founder Tariq "Black Thought" Trotter— served as producers for the original cast album, which debuted at #3 on Billboard magazine's rap best-seller chart, a first for a Broadway cast album.
High-profile pop stars have been trouping in to see Hamilton in recent weeks. Grammy Award-winning music powerhouses Beyoncé Knowles and Jay Z were in the audience for the Oct. 21 evening performance and posed with the cast following the show. President Obama made his second trip to the Richard Rodgers Theatre Nov. 2 for a Democratic Party fundraiser.