When director Peter Jackson asked Howard Shore to compose the score for “The Lord of the Rings” film trilogy, Shore studied J.R.R. Tolkien’s fantasy world before beginning four years of writing music. At a Master’s Tea Tuesday afternoon, Shore shared insights about composing, orchestrating, conducting and producing more than ten hours of music to accompany “The Lord of the Rings” films in front of more than 100 students in the Branford College common room. The Academy Award-winning composer, who also wrote the scores for “Mrs. Doubtfire” and “Doubt,” among others, also told stories about working on other genres of music before his venture into cinema. Shore began the talk by describing his first encounters with music. From the beginning, his clarinet teacher felt it was important that he learn music composition techniques such as harmony and counterpoint, he said. By the time Shore was 11 years old, he was already writing small pieces. Shore shares insights on ‘Rings’ trilogy