Mathematics and New Technologies at the service of Music Education

En el siguiente artículo realizamos una revisión bibliográfica sobre las últimas investigaciones llevadas a cabo sobre las implicaciones de las matemáticas y las nuevas tecnologías en la educación musical, en el que varios autores nos muestran la manera de utilizarlas como herramientas creativas, y como elementos de análisis de formas musicales; al mismo tiempo podremos entender mejor los procesos de aprendizaje de representación matemática a través de la variación de la frecuencia del sonido en el tiempo.In the following article, we conducted a bibliographical review on the latest research carried out on the implications of mathematics and new technologies in music education, in which several authors show us how to use them as creative tools, and as elements of analysis of musical forms; At the same time we will be able to better understand the learning processes of mathematical representation through the variation of sound frequency over time

Improved Iterative Random Walk for Four-Part Harmonization

Music generated by random walk from a statistical model generally fails to capture the style and quality of music in its training corpus. In the context of melody harmonization, this paper first demonstrates that violations of general rules of harmony are clearly related to cross-entropy. The paper then describes and evaluates an improved random walk method which efficiently samples low cross-entropy harmonizations. Applying the method, the relationship between cross-entropy and harmonization quality becomes even more apparent. These results will impact on future work in music generation from statistical models