Space requirement for storing indexes and performance for query processing are two critical issues in music information retrieval (MIR) system. To overcome difficulties in variable length of queries and enhance efficiency of music retrieval, we propose an effective and efficient numeric indexing structure. It differs greatly from preexisting researches in textual indexing techniques. We show how the development of this framework has been motivated and demonstrate how the technique may be naturally applied to solve this two fundamental MIR issues. Experiments are performed to compare our method with previous solutions. The results show that our method is more scalable and economical than previous methods. The method we proposed can achieve dramatically and significantly improvement in saving time and storing space for retrieving and indexing.