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Visualizing Temperaments: Squaring the Circle?

机译:可视化气质:平方圆?

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摘要

Since our hearing system is accustomed to the equal temperament system, best applied to modern western musical instruments, we perceive the other tuning systems as unfamiliar, without being able to describe exactly how and what sounds weird and seems dissonant. This paper describes the construction of new mathemusical models and visualization concepts: Two dimensional static and dynamic models, 3D and 4D animated objects. These tools are designed to graphically compare temperaments and generate visualizations that reinforce/augment the auditory impression. We discuss limits and applications for our models and their different applications.
机译:由于我们的听力系统习惯于均等的气质系统,最适用于现代西方乐器,因此我们认为其他调音系统是陌生的,无法准确地描述听起来如何,什么听起来很奇怪并且似乎不和谐。本文介绍了新的数学模型和可视化概念的构建:二维静态和动态模型,3D和4D动画对象。这些工具旨在以图形方式比较气质并生成可视化效果,以增强/增强听觉印象。我们讨论了模型及其不同应用的限制和应用。

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