Well because you can, because it's less expensive to do so than it is elsewhere in the world and people naturally like sweet tastes.
一是因为你能做到,二是因为这么做的成本比在其他国家低,更何况人们天生喜欢甜味
So, they had the ratio of two to one, which gave them the octave, and three to two, which gave them the fifth, and four to three, which gave them the fourth.
他们发现,八度音程中,呈现的是二比一的比例,而五度音程中呈现三比二的比例,在四度音程中则呈现四比三的比例
They're irrational numbers and these irrational numbers like to move to rational numbers; they like to move to consonances; they like to move to intervals that are based on things such as two to one and three to two or maybe four to three.
它们是无理数,而这些无理数想要变为有理数,它们想变成和谐音,就要根据一些比率改变音程,比如二比一,三比二,或四比三的比率
What we've got here is the following, this idea of partials that Eva was talking about with ratios, two to one, three to two, four to three, five to four, six to five and so on, and the point here is that the way we differentiate between instruments.
接下来,我们要讲的是,伊娃刚谈到的泛音的高低比率,二比一,三比二,四比三,五比四,六比五,等等,这里我要讲的是,我们区分乐器的方式
A to B is one distance, which is a large one, and B to C is only half that distance, and that's because of the way the Greeks laid this thing out with their two to one ratios, three to two ratios and so on.
到B是一个距离,比较大,而B到C只有半个距离,因为希腊人,用诸如二比一,三比二,之类的频率比来安排音阶
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