Remacha was born in Tudela, Navarre on 15 December 1898. At the age of nine he began to study the violin with the choirmaster of Tudela Cathedral, Joaquin Castellano. In 1911, Remacha travelled to Madrid for the purpose of studying to become a chartered accountant, but at the same time he continued his music studies. He took courses at the Madrid Conservatory where he passed at one time the first three courses of solfeggio, and had private violin classes with Jose del Hierro. Remacha lived in the home of his aunt, Isabel Soriano, who encouraged him to study harmony once he had completed the violin courses. That was how he began his instruction under Conrado del Campo, in whose classes he met Salvador Bacarisse and Julian Bautista, the people who formed the initial core of the Grupo de Madrid together with Remacha.