Porous composites of acicular mullite and tialite are formed by firing an acicular mullite body in the presence of an oxide of titanium. In some variations of the process, the oxide of titanium is present when the acicular mullite body is formed. In other variations, the oxide of titanium is applied to a previously-formed acicular mullite body. Surprisingly, the composites have coefficients of linear thermal expansion that are intermediate to those of acicular mullite and tialite alone. Some of the tialite is believed to form at grain boundaries and/or points of intersection between acicular mullite needles, rather than merely coating the needles. The presence of the titanium oxide(s) during acicular mullite formation does not significantly affect the ability to produce a highly porous network of mullite needles.