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播放视频

用斐波那契数列弹一首动听的曲子

Music From The Fibonacci Sequence

斐波那契数列是一列数字
The Fibonacci Sequence is a series of numbers
其中每一个数都等于前两个数之和
where each number is the sum of the previous two numbers.
序列中的数字
The numbers in the sequence
拥有极好的数学特性
have extraordinary mathematical properties
这在很多自然规律中都可以发现
and can be found in patterns all throughout nature,
所以我决定听听把它们弹奏出来会是什么样子
so I decided to see what they would sound like as music.
为了能弹出旋律 我把数字1到8
To create the melody, I assigned the numbers 1 through 8
对应到琴键上的E大调音阶
to the E major scale on the keyboard
然后在两头分别加上0和9
and added 0 and 9 on each side
作为音阶的自然拓展
with the natural extension of the scale.
我用右手弹数列产生的主旋律
I played the resulting melody with my right hand
左手弹和声
and added harmonies with my left hand.
现在斐波那契数列的第一个数字是0
Now, the first number of the Fibonacci Sequence is 0.
但0和它自己相加总等于0
But 0 added to itself just equals 0 forever.
事实上这就是你在背景音乐里一直听到的
In fact, that’s what you’ve been hearing in the background.
要开始弹奏这个数列 我们得加个1进去
In order to start the sequence, we need to add a 1.

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视频概述

斐波那契数列的美不仅仅在于其独特的数学规矩,用钢琴弹出来,我们将更直观地感受到它的美妙

听录译者

收集自网络

翻译译者

Mathilda

审核员

审核员_DB

视频来源

https://www.youtube.com/watch?v=IGJeGOw8TzQ

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