TRAIAN-MAWR, a township, in the parish of LLYWEL, hundred of DEVYNOCK, union of BRECKNOCK and county of BRECKNOCK, SOUTH WALES, 10 miles (N. W. by W.) from Brecknock; containing 703 inhabitants. The township occupies a mountainous district on the borders of Carmarthenshire; and is returned at the rateable annual value of £2062. Here are two day schools, in which about 55 children are taught at the expense of their parents, and by charity; and three Sunday schools, gratuitously conducted, and containing about 300 males and females; two in connexion with the Established Church, the other with Calvinistic Methodists. The tithes have been commuted for a rent-charge of £183. 10., of which two-thirds are payable to the Precentor and Chapter of St. David's, who have also a glebe of 12 acres, valued at £16 per annum, and one-third to the vicar of Llywel.