Applied Mathematics and Nonlinear Sciences (Jan 2024)
Application and practice optimization of vibratory modes in the teaching of fundamental sight-singing and ear training
Abstract
This paper first introduces the vibration modal analysis system and its general design, then improves the smoothing function and wavelet function transform algorithms in the system, and then determines and verifies the characteristic parameter algorithms in the structure of the improved wavelet transform vibration modal algorithms based on longitudinal waves, transverse shear waves, and bending waves in beams. The application of vibrational modes in sight-singing and ear training is examined and analyzed. The results show that the wavelet transform algorithm has the highest accuracy in calculation results. The calculation of vibration modes can be more effective using this basis. The investigation of students’ attitudes towards sight-singing and ear-training learning found that 52.3% of the students like sight-singing and ear-training learning, 40.13% and 7.37% of the students have no feeling for sight-singing and ear-training learning as well as disliking sight-singing and ear-training classes.48.68% and 37.45% of the students agree that sight-singing and ear-training training can help to improve their music literacy, and 25.79% and 56.14% of them think that Less gain in sight-singing ear training class is caused by boring teaching mode and single content. The investigation of vibrational modes in the teaching process of sight-singing and ear training found that 63.27% of the students had a better understanding of the learning process of vibrational modes; 68.59% of the students liked the teaching process of vibrational modes and the teaching method; and 70.79% of the students thought that the vibrational modes were helpful to the learning of sight-singing and ear training.
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