While Lin Yujing was stunned, Li Zheng had already picked up the acoustic guitar.

And, spread it flat on the thigh.

Like the guzheng, you press the strings with your left hand and strum with your right hand.

This operation really shocked Lin Yujing.

This posture of playing the piano is no longer a problem of being tone-deaf, right?

He doesn’t even have basic musical knowledge!

However, Li Zheng himself looked calm and composed.

Between melancholy.

Even exudes some coolness.

In his mind, this scene corresponded to the scene in "The Swordsman" where the demon sect elder Qu Yang and the decent leader Liu Zhengfeng performed together.

Therefore, he placed his guitar horizontally, pretending to be a guqin.

The music is high-pitched but few, and a close friend is hard to find.

Lin Yujing, taste it carefully.

"Well..." Lin Yujing just sighed, suddenly feeling uninterested.

I was actually looking forward to this scumbag pig's trotters just now. It's really crazy.

"You should go and compose music for Jiang Qinghua, I'm taking a rest."

Lin Yujing lay down on the piano and fell asleep again.

When Li Zheng saw this, he was a little disappointed, but after a while, he became wonderful again.

In "The Swordsman", the song played by Qu Yang and Liu Zhengfeng is the piano and flute ensemble.

Lin Yujing is not a flute player, Jiang Qinghua is.

Therefore, she became jealous and said that she should score music for Jiang Qinghua.

Li Zheng thought he had thought of the second floor, but Lin Yujing was already on the third floor.

In front of such a master, it's better not to show off.

"Okay, let's stop making trouble." Li Zheng said, taking off his leather jacket and hanging it on the back of the chair, and then rolled up his shirt sleeves in an imposing manner, "Make sure, you want guitar accompaniment, right?"

Lin Yujing just fanned her hands casually and fell asleep again.

Li Zheng ignored her and looked at the relaxation interface.

Lin Yujing has obviously become immune to emotional intelligence tricks.

There is no other way, just use internal strength.

【Li Zheng】

【Game currency: 25】

[Relaxation activity detected: musical instrument playing]

[Vitality recovery rate: 0.3 (playing guitar).]

[Daily recovery limit: 60 minutes.]

[You can obtain relevant skills by inserting coins]

[Modern Music Theory: Comprehensive mastery of modern music theory knowledge.] (5 game coins)

[Breath of Qi Ming: Master the performance of whistles, shengs, suonas, flutes, harmonicas, French horns, etc., with the "vibration of Qi" as the core, equivalent to the level of ordinary professional players.] (5 game coins)

[Xian Ming Finger: Master piano, erhu, guzheng, violin, guitar, etc., and play musical instruments with "string vibration" as the core.] (10 game coins)

[The power of membrane sound: Master the performance of drums, bass drums, tambourines and other musical instruments based on the 'vibration of the membrane'.] (5 game coins)

Li Zheng looked at these skills and said nothing else.

So impressive.

I really want to click through them all.

Unfortunately, the game coins are limited.

I'm afraid the only way to get them all is by taking the depraved route.

Now it seems that at least a combination of [Modern Music Theory] + [Stringing Fingers] is needed.

Although 15 game coins is a bit distressing, it will be great to have an additional daily relaxation program in the future.

Li Zheng stopped thinking about it, tossed the coin in a cool manner, and put his skills into storage.

[Increase in musical instrument playing level detected]

[Daily recovery limit: 90 minutes↑]

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

A few seconds later, Li Zheng rubbed his cheeks and sighed: "I see..."

He has always believed that music is a mysterious artistic subject, and strives to understand it perceptually.

But this is actually completely wrong.

Big mistake.

The essence of music.

It's math!

And a little bit of physics and materials science.

The reason is very simple, all sounds are produced based on the vibration of matter.

The material of the substance determines the timbre.

The frequency of 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, there are a total of 7 white keys in an octave of a piano, 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. Its vibration frequency can be measured as f0.

Later, according to human hearing habits, the vibration frequency of the last note b of this scale, which is si, should be 2f0, which is exactly doubled.

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

Intuitively, in this case, it seems that we should use an arithmetic sequence, so that the frequency of each sound differs by 1/12.

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

A normal person can clearly distinguish, but it is difficult to distinguish hz.

Therefore, we need to use geometric series equalization here.

According to junior high school mathematics, in this sequence, the direct frequency ratio of each tone should be 2 opened 12 times the square root.

That is 1.01530947.

Using this ratio to make a geometric sequence, a one-octave musical scale can be created.

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

It was first created by Zhu Zaiyu, one of the descendants of Zhu Yuanzhang.

One thing to say, the idea of ​​2 taking the 12th square root is a bit scary.

In order to calculate this, I did not hesitate to build an 81-bit abacus.

As for how long it took, no one knows.

Salute to the great mathematician.

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

At this time, Li Zheng thought of the staff, the beat, and the rising and falling tones again.

Between the lines, inside and out.

It's all math!

"Wonderful!" Li Zheng felt that music was so interesting for the first time. He couldn't wait to pick up the guitar and started to tune the strings.

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

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

Thinking that every time he tightened the strings, the vibration frequency of the strings would change wonderfully, radiating the beauty of mathematics, Li Zheng became more and more energetic.

He went back and forth, comparing the "thump, thump, thump" sounds of each string, and his mind was filled with geometric series.
To be continued...