The name of the ensemble is derived from a collection of pieces by Italyn composer Paolo Quagliati, in the beginning of the 17th century. These pieces were written for one singer, an obbligatto melodic instrument, and continuo, a standard format of the Seconda Pratica or Baroque style.

Founded in January 2006 by Claudia Liliana Gantívar, La Esfera Armoniosa is made up of members educated at various European and American schools whose objective is to explore, research and perform renaissance and baroque music. As such, they perform on copies of original period instruments. Its repertory includes music from the 15th to the 18th centuries, and the number of performers varies from 3 to 10, depending on repertory needs.

Since the beginning, the ensemble has performed in various halls in Bogota, as well as at National University in Manizales, Universidad EAFIT in Medellín, and the Sacred Music Festival in Pamplona, Santander, among others. In March 2008 the group was selected for the opening of the didactic concert series at Biblioteca Luis Ángel Arango, which was followed by a national concert tour in the various halls of Banco de la República in Colombia.

In July 2008 the ensemble won the Concert Cycle competition of the Secretary of Culture, which is coordinated by the Bogota Philharmonic Orchestra.

In 2009, its main objective has been the recording of its first CD with early 17th century Italyn repertoire. As such, this is the first Colombian ensemble to record this type of repertoire. The recording took place at the Church of St. Augustine in Villa de Leyva.