Learning Demon Cultivation System

Page 196

[Instrument performance level detected to rise]

[Daily recovery limit: 90 minutes ↑]

With the arrival of new knowledge, Li Zheng's eyes widened and became more wonderful.

A few seconds later, Li Zheng rubbed his cheeks and sighed softly: "So that's how it is..."

He has always believed that music is a mysterious art subject, and strives to comprehend it emotionally.

But this is actually completely wrong.

Big mistakes.

the essence of music.

It's math!

And a little bit of physics and materials science.

The reason is simple, all sounds are based on material vibrations.

The material of the material determines the timbre.

The frequency of the vibration determines the pitch.

The interval of vibration determines the beat.

The mixture of vibrations is music.

Here, except for the material, everything else is a simple geometric sequence problem.

For example, an octave of a piano has a total of 12 keys, Do to Si, 7 white keys, plus 5 black keys.

Among them, the first key C, which is Do, is the starting point of the scale that everyone agrees to sound comfortable, and its vibration frequency can be measured as F0.

Afterwards, according to human hearing habits, the vibration frequency of the last sound B of this scale, namely Si, should be 2F0, just doubled.

The vibration frequencies of the beginning and the end are determined, and all that remains to be done is to equally divide the frequencies of the remaining 10 tones.

Intuitively, at this time, it seems that an arithmetic progression should be used, so that the frequency of each sound differs by 1/12.

But in fact, the human ear distinguishes the pitch of two tones, relying on the frequency ratio between the two tones, not the frequency difference.

A normal person can clearly distinguish between 50Hz and 55Hz, but it is difficult to distinguish between 5000Hz and 5005Hz.

Therefore, the geometric sequence is used to divide evenly here.

According to junior high school mathematics, in this sequence, the direct frequency ratio of each sound should be the 2th root of 12.

That is 1.01530947.

Using this ratio as a geometric sequence, an octave scale is created.

This is also the twelve-tone temperament commonly used in modern music theory.

It was first created by Zhu Zaiyu, one of Zhu Yuanzhang's grandsons.

There is one thing to say, the 2th root of 12 is still a bit scary.

In order to calculate this, I did not hesitate to make a set of 81-bit abacus.

As for how long it took, no one knows.

Kudos to the mathematicians.

By the way, Pythagoras, the inventor of the earlier ancient rhythm, was also a mathematician.

At this moment, Li Zheng thought of the stave, the beat, and the pitch again.

Read between the lines, inside and out.

It's all math!

"Wonderful!" For the first time, Li Zheng felt that music was so interesting. He couldn't wait to pick up the guitar and began to tune it.

For beginners, this process often requires a tuning fork or tuner to determine the reference tone.

But Li Zheng, an ordinary professional performer, can recognize it with just his ears.

Thinking that every time the strings are tightened a little, the vibration frequency of the strings will change wonderfully, rippling out the beauty of mathematics, Li Zheng is also getting more and more tuned.

He went back and forth, comparing the sound of each string's "thump, thud, thump," and his mind was full of geometric numbers.

Hearing the decent sound of tuning the strings, Lin Yujing, who was lying on her stomach, also twisted a little, peeping through a reasonable gap as if in a classroom.

Li Zheng's expression was flushed, he turned left and right, and muttered about root numbers.

The whole person has the appearance of a piano demon.

Lin Yujing was also quite shocked.

How can I feel like I am doing Mathematical Olympiad when I play the piano?

She couldn't help twisting a few more angles, brushed her hair aside, exposed her left ear, and listened carefully.

If it was someone else, I'm afraid they wouldn't be able to hear any clues.

But Lin Yujing trembled as soon as he heard it.

thump——

The first string, the treble mi.

thump——

The second root, alto si.

thump——

Alto so.

……

The sixth root, bass mi.

That's right, all right.

It turned out to be correct!

In astonishment, Li Zheng strummed the strings, raised his head suddenly, rolled his eyes magically, and stared at Lin Yujing's peeping left eye with great precision based on intuition alone.

Internal strength has been achieved.

Come fight!

This time, Li Zheng didn't hesitate, and said directly: "Did you find the score?"

Lin Yujing's heart beat faster, and she was so frightened that she shrank back and pretended to sleep.

This is not good.

Li Zheng frowned and said, "What exactly do you mean? Didn't you ask me if I can play the guitar and want to learn from each other?"

"I...I..." After Lin Yujing struggled for a while, she suddenly stood up with clenched fists, and went straight to the door, "I'm thirsty, go get the water bottle."

Li Zheng didn't expect that a person who was sleeping on the stomach could disappear with a "whoosh".

But at this time, he had just realized the beauty of mathematics and music, and he was in a good mood, but he was not angry. At worst, he would play with Jiang Qinghua's qin and flute, which would not be bad if he thought about it.

Outside the classroom, Lin Yujing didn't go to fetch any water bottle, but ran to the big tree at the innermost side of a row of bungalow classrooms, panting heavily with her waist supported.

In fact, it wasn't that she didn't want to bring glory to the school, nor was she playing tricks on Li Zheng.

It's just pure fear of people.

It's different from Li Zheng's boldness of "blame me for looking like this, you can just look at it".

It is also different from Zhang Xiaoke's "hahahaha, I am the cutest~~" kind of obscenity.

Lin Yujing was very afraid of being stared at.

Not to mention being stared at by so many people.

Not to mention being stared at with Li Zheng.

Playing basketball on the playground is already the limit of her acceptance.

Performing in public, in front of people from other schools, she still couldn't take this step.

While panting, the electronic sound effect of "Rocket into orbit" came from the pocket of the sweater.

Lin Yujing erected her ears, and took out her phone with some hesitation.

This is actually just a WeChat notification sound, which is equivalent to other people's "thump, thump, thump".

Lin Yujing thought it was a message from Li Zheng, but she didn't expect the sender to be [(Rocket) Mom (Rocket)].

Of course, this is actually a note she made, and it is actually her mother Shen Tinglan.

[Mom: Someone has a birthday tomorrow. 】

[Lin Yujing:? ? ?Are you in June? 】

【Mom: (smiling face) Yes, on December 12th, who else will it be? 】

[Lin Yujing: ...Jesus? 】

【Mom: Guess again. 】

[Lin Yujing: ... Grandpa Mao? 】

[Mom: (covering her face and crying) It's Li Zheng. 】

[Lin Yujing:? ? ? 】

【Mom: I happened to see it from his dad's circle of friends (whistling)】

[Lin Yujing: Liar, you never look at Moments! 】

【Mom: The experiment is about to start, so turn off the phone. 】

[Mom: By the way, I can’t come back before 12 o’clock, you can eat by yourself, or with your classmates. 】

[Lin Yujing: You turned off the phone! 】

[Mom: (blow kiss) (blow kiss) (blow kiss)]

Putting away the phone, Lin Yujing was very angry.

Why did you suddenly inform people of such useless news?

What she didn't know was that Li Zheng was also looking at his phone in the music classroom at this time.

[Lao Li: I forgot to mention on the call just now, do you still remember what day is tomorrow? 】

[Li Zheng: ...It's so annoying. 】

[Lao Li: I don't blame you, my fault, I didn't expect to get stuck on this day with such precision. 】

[Li Zheng: Are you okay? 】

[Lao Li: I have a few major surgeries today, and I can’t go back before 12 o’clock. You can ask your classmates out to celebrate their birthdays, and I’ll reimburse you. 】

[Li Zheng: Oh. 】

[Old Li: So...have you decided on a date? 】

[Li Zheng: Aren't you busy with surgery? 】

[Old Li: Aren't you in class? 】

[Li Zheng: Biology class. 】

【Old Li: Oh oh oh, that is. 】

Li Zheng put away his phone, his original good mood was disturbed by Lao Li.

Birthdays are inherently annoying.

It was still the embarrassing moment of December 12th.

But don't let your classmates know.

Li Zheng had just adjusted his mentality when he saw Lin Yujing slipping in in small steps, and was lying on the piano in a blink of an eye.

Li Zheng ignored her, and just vibrated the strings to test the sound by himself.