Think about dimensions of painting or architecture perhaps but what are the two dimensions of music?

想想绘画或者建筑的维度,那么音乐的两个维度又是什么呢

耶鲁公开课 - 聆听音乐课程节选

First, I'd like to explore two dimensions of education and I'm thinking not only in terms of classroom education which you are familiar with but also the distance education which is so prominent in the development today.

首先，我想探究两个维度的教育,其中一个角度是,你们熟悉的课堂教育,另一个角度是远程教育,现在它的发展十分显著。

麻省理工公开课 - 媒体、教育、市场课程节选

What are the two dimensions of music?

音乐的两个维度是什么

耶鲁公开课 - 聆听音乐课程节选

dimensions of music?

音乐的两个维度

耶鲁公开课 - 聆听音乐课程节选

Time. Okay, pitch and time and pitch and duration, excellent, so those are the two dimensions of music and well, indeed we could even call them the axes of music because we tend to think of pitch on a vertical axis.

时间,音高和时间,或者是音高和时值,非常好,它们是音乐的两个维度,其实我们可以称呼它们为音乐的两轴,因为我们趋向于将音高放在竖轴上来考虑

耶鲁公开课 - 聆听音乐课程节选

Well,if you go back to the formation of musical notation from the ninth through the twelfth centuries we see that very early on these two dimensions of music the two axes of music that we talked about before pitch vertically and duration horizontally, are in place and we have these spots in this grid.

回顾一下从公元九世纪至二十世纪,音乐记谱法的历史形成过程,我们可以看出,音乐的两个维度,就是我们之前提到的音乐的两个轴,纵轴是音高,横轴是时值,在早期已经存在了,我们在这样的网格上用点记录

耶鲁公开课 - 聆听音乐课程节选