Musical rhythms are represented as sequences of symbols. The sequences may be composed of binary symbols denoting either silent or monophonic sounded pulses, or ternary symbols denoting silent pulses and two types of ...Musical rhythms are represented as sequences of symbols. The sequences may be composed of binary symbols denoting either silent or monophonic sounded pulses, or ternary symbols denoting silent pulses and two types of sounded pulses made up of low-pitched (dum) and high-pitched (tak) sounds. Experiments are described that compare the effectiveness of the many-to-many minimum-weight matching between two sequences to serve as a measure of similarity that correlates well with human judgements of rhythm similarity. This measure is also compared to the often used edit distance and to the one-to-one minimum-weight matching. New results are reported from experiments performed with three widely different datasets of real- world and artificially generated musical rhythms (including Afro-Cuban rhythms), and compared with results previously reported with a dataset of Middle Eastern dum-tak rhythms.展开更多
The principle of stationary mutual potential energy, which was introduced by Shield and Prager, can be considered as an extension of the principle of minimum potential energy from one-loading system to two-loadlng sys...The principle of stationary mutual potential energy, which was introduced by Shield and Prager, can be considered as an extension of the principle of minimum potential energy from one-loading system to two-loadlng system. By this stationary principle, we can obtain the necessary and sufficient condition of optimality for structural design.展开更多
文摘Musical rhythms are represented as sequences of symbols. The sequences may be composed of binary symbols denoting either silent or monophonic sounded pulses, or ternary symbols denoting silent pulses and two types of sounded pulses made up of low-pitched (dum) and high-pitched (tak) sounds. Experiments are described that compare the effectiveness of the many-to-many minimum-weight matching between two sequences to serve as a measure of similarity that correlates well with human judgements of rhythm similarity. This measure is also compared to the often used edit distance and to the one-to-one minimum-weight matching. New results are reported from experiments performed with three widely different datasets of real- world and artificially generated musical rhythms (including Afro-Cuban rhythms), and compared with results previously reported with a dataset of Middle Eastern dum-tak rhythms.
文摘The principle of stationary mutual potential energy, which was introduced by Shield and Prager, can be considered as an extension of the principle of minimum potential energy from one-loading system to two-loadlng system. By this stationary principle, we can obtain the necessary and sufficient condition of optimality for structural design.
