A new and distinct Vanda cultivar named ‘SPCDW1513’ which is characterized by violet sepals and petals which fade to a darker violet along the margins and apex, sepals and petals that exhibit a dark violet irregular tessellation pattern, a labellum with purple-violet lateral lobes that are blotched red-purple at the base and a dark violet central lobe, as well as the stability of these characteristics from generation to generation.