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科学思维1:动听的琴音与科学的联系

How to Science [Part 1: Music]

假设我们想要创作一段音乐
Let’s say we want to make some music
首先我们需要某种乐器
first we need some kind of instrument
长久以来
For quite some time now
人类已经知道了
We humans have known
一种创作动听音乐的方法 就是拿一根琴弦
that one way to make some nice musical sounds is to take a string
把琴弦两端固定 并在两端施加拉力
Fix it between two points and add some tension
只拨动一根琴弦可能有点无聊
Now rocking out on one string can get kinda boring
早期的音乐家很快发现通过增加乐器的琴弦数量
And early musicians quickly figured out that to make things more interesting.
可以使声音更加丰富有趣
They could add more strings to their instruments
然而增加的琴弦越多
However just adding more strings
并不意味着就能使音乐更好听
does not always make things sound better
要确保琴弦在一起可以演奏出美妙的音乐
We have to make sure that our strings sound good together
我们可以通过调整琴弦的品格和松紧
we can change the sound each string mix individually
分别改变每根琴弦混音时的声音
by changing that’s length or tension
通过一个小实验 显而易见的是
and after a little experimentation it quickly becomes clear
绝大多数的音调组合都听起来都很糟糕
that the vast majority of combinations sound terrible
然而当琴弦的松紧和品格发生特定的组合时
However every now and then for a specific combination
奇妙的事情就会发生
of string lengths and tensions something kind of magical happens
突然之间
All of a sudden the sound
组合在一起的琴弦所发出的声音都拥有了意义
of our strings together just makes sense
如果我们想创作一段好听的音乐
So if we want to make a music that sounds any good
那么调弦应该是个不错的方法
It’s probably a good idea to first tune our instrument
调弦可以使我们的琴声变得非常动听
in such a way that our strings sound good together
早期制作乐器的工匠和音乐家通过我们所用的方法
Early instrument makers and musicians solved this problem
解决了这个问题 那就是猜测和检验
Just like we did by guessing and checking
但几千年前的希腊数学家
Until a couple thousand years ago when the Greek mathematician
毕达哥拉斯发现了一些值得注意的事
Pythagoras discovered something remarkable
他发现了隐藏在其中的数学关系
Pythagoras found a hidden mathematical relationship between the
每根弦的松紧度和品格
length of each string the tension in each
对应着不同的弦音
string and the sound the strings made together
我们来看看能不能验证隐藏在其中的数学关系
Let’s see if we can find this hidden mathematical relationship
我们先进行一些观察
We can start by making some observations
首先我用相同松紧度的琴弦
First I’ll make the tensions in each string and
只改变琴弦的品格
as we change the length of each string.
我们把好听的声音组合记录下来
We’ll note which combinations sound good together
接下来我们使琴弦的品格相同
Next we’ll make the links
同时改变每根琴弦的松紧度
of our two strings equal and as we change the tension of each string
我们再记录下那些好听的组合
We’ll note which of these combinations sound good together
现在我们得到了一些数据
Now that we have some data,
来看一下
I’m turning it over to you
你能看出毕达哥拉斯发现了什么吗
Can you see what Pythagoras did?
动听音调的品格之间
What is the hidden mathematical connection between the lengths
有什么隐藏的数学联系
of strings that sound good together?
动听音调的松紧度之间
What is the hidden mathematical connection between the tensions
又有什么隐藏的数学联系
of strings that sound good together?
获取更详细的数据和更有趣的资料
For a closer look at our data and some other cool stuff check
请查看简介下方的PDF链接
out the PDF linked in the description below
祝你好运 感谢观看
Good luck, and thanks for watching

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视频概述

关于琴弦松紧度和品位与科学的联系

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收集自网络

翻译译者

明镜无台

审核员

审核员 RN

视频来源

https://www.youtube.com/watch?v=d3mHfqd0VZY

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