Restoration: 1998-2000 by organ builder Pascal Quoirin, assisted by Ignacio Zapata; the case was restored by Agustín Espinosa. The project directors were Gustavo Delgado and Ofelia Gómez of the Academia Mexicana de Música Antigua para Órgano (AMMAO); the restoration was financed by Fomento Cultural Banamex.

The monumental organ of Santa María de la Asunción Tlaxiaco is located in an important Dominican evangelizing center in the Mixteca Alta region. The case of the organ highlights the most typical neoclassical design elements of Oaxaca, not Puebla, organbuilding: denticles under the cornices, lambrequin carvings on the lower case, cascades of tassels along the sides, elaborately carved pipeshades (with a butterfly pattern as in Tamazulapan 1840), and discreet case painting. The case was originally unpainted, then later painted and gilded to match the white and gold neoclassical altarpieces after a refurbishing of the church interior (late 19th/early 20th century). The golden sunburst on the crest was probably added at the same time. Unfortunately, no trace remains of the former baroque church art or the previous organ/s, which must have been splendid. The organ includes an unusual register with a local name, the "Tlaxaqueña," a mixture of four small pipes tuned at slightly different pitches to create an intentional dissonance. The gentle Travesera flute stop is also unique to this organ.