Miyake finished 8th at the 2011–12 Japan Novice Championships and 7th the following season. He was awarded the silver medal at the 2013–14 Japan Novice Championships and finished 28th at the Japan Junior Championships. He won gold at the 2014–15 Japan Novice Championships and placed 30th at the Japan Junior Championships that same year. He was invited to skate in the gala at the 2014 NHK Trophy and 2015 World Team Trophy.