Chapter 186: Mathematics produces everything

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Lin Yuejing stunned God's kung fu, Li Zheng had picked up the acoustic guitar.
And, spread it flat on the thigh.
Like Guzheng, the left hand presses the string and the right hand fiddles.
This hand operation really surprised Lin Yuejing.
Isn't this posture of playing the piano a problem with Yin Yin?
Not even basic music knowledge!
However, Li Zheng himself was quite at ease.
Melancholy.
It even exudes some forcings.
In his thoughts, this scene coincides with the scene of the ensemble of the demon elder Qu Yang and Liu Zhengfeng, the decent master in "Swordsman".
Therefore, he turned the guitar horizontally, pretending to be Guqin.
Qu Gao and widowed, hard to find friends.
Lin Yujing, you taste, you taste.
"Hmm..." Lin Yuejing just sighed, feeling dull.
I was just looking forward to the stunned pig's trotters. It was crazy.
"You still go to Jiang Qinghua's music, I have a rest."
Lin Yujing pouted on the piano and slept again.
Upon seeing this, Li Zheng was a little lost, but after a little taste, it was wonderful again.
In "Xiaoaojianghu", the song by Qu Yang and Liu Zhengfeng is the ensemble of Qin Xiao.
And Lin Yuejing is not a Xiaoke, Jiang Qinghua is.
Therefore, she was jealous and said that she should score Jiang Qinghua's music.
Li Zheng thought he thought of the second floor, but Lin Yuejing was already on the third floor.
In front of such a master, do not show off.
"Okay, no more trouble." Li Zheng said as he took off his leather jacket and hung it on the back of the chair. Then he lifted up the shirt sleeves with great force. "Are you sure, want guitar accompaniment, right?"
Lin Yuejing only slammed his hand at random, and then slept over again.
Li Zheng didn't care about her anymore, so he looked at the relaxed interface.
Lin Yuejing is clearly immune to EQ.
There is no way to do it.
【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 get the relevant skills by coining -]
[Modern Music Theory: Comprehensive knowledge of modern music theory. ] (5 game coins)
[Breath of Qiming: Mastering whistle, sheng, suona, flute, harmonica, French horn, etc., playing musical instruments with ‘vibration of qi’ as the core, equivalent to the level of ordinary professional players. ] (5 game coins)
[Xingming Finger: Master piano, erhu, guzheng, violin, guitar, etc., and play the instrument with the core of
vibration of string
. ] (10 game coins)
[The Power of Membrane: Master the performance of musical instruments such as drums, bass drums, tambourines, etc. with the core of ‘vibration of the membrane’ ] (5 game coins)
Li Zheng looked at these skills and said nothing else.
So imposing.
I want to click it all.
Unfortunately, the game currency is limited.
I'm afraid it can only be ordered by taking the depraved route.
Now it seems that at least the combination of [modern music theory] + [Xin Mingzhi] is needed.
Although the game currency is a little bit distressing, it is also excellent to have a daily relaxation program in the future.
Li Zheng no longer thinks about it. He puts his coins in his hands and puts his skills in the warehouse.
[Determination of rising instrument performance level]
[Daily recovery limit: 90 minutes ↑]
With the arrival of new knowledge, Li Zheng's eyes grew bigger and bigger, and became wonderful.
After a few seconds, Li Zheng rubbed his cheek and sighed, "It turns out so..."
He always thought that music is a mysterious art subject, and he tried to comprehend it emotionally.
But this is actually completely wrong.
Big mistake.
The essence of music.
It's math!
There is also a little bit of physics and materials science.
The reason is simple. All sounds are generated based on physical vibration.
The material material determines the timbre.
The frequency of vibration determines the tone.
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, a piano has an octave with 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 a common starting point of the musical scale that everyone has agreed upon, and the vibration frequency can be measured as F0.
After that, according to human hearing habits, the first sound of the next octave, which is the treble Do, has a vibration frequency of 2F0, which just doubles.
The vibration frequencies at the beginning and end are determined. The next thing to do is to divide the middle sound into 12 parts by frequency.
Intuitively, at this time, it seems that the arithmetic sequence should be used to make the frequency of each tone differ by 1/12.
But in fact, the human ear distinguishes the height of two sounds, relying on the frequency ratio between the two sounds, rather than the frequency difference.
A normal person can clearly distinguish between 50Hz and 55Hz, but it is difficult to distinguish between 5000Hz and 5005Hz.
Therefore, it is necessary to use the proportional sequence to divide equally.
According to junior high school mathematics, in this sequence, the frequency ratio between adjacent sounds should be 2 to the 12th root.
That is 1.05946.
Using this ratio as a series of ratios, an octave scale is made.
This is also the twelve temperament commonly used in modern music theory.
Created by Zhu Zaiyu, one of Zhu Yuanzhang's grandchildren.
One thing is said, the square root of 2 to 12 is still a bit scary.
In order to calculate this, an 81-bit abacus was spared.
No one knows how long it has been.
Pay tribute to the math gangster.
By the way, the earlier ancient temperament, its inventor Pythagoras, is also a mathematician.
At this point, Li Zheng remembered the staff, the beat, the tone.
Between the lines, inside and out.
It's all math!
"Wonderful!" Li Zheng thought the music was so interesting for the first time, and couldn't wait to pick up the guitar and start tuning.
For beginners, this process often requires a tuning fork or a tuner to determine the reference sound.
But ordinary professional performer Li Zheng, with both ears alone, is enough to identify.
Thinking that every time a string is tightened, the vibration frequency of the string will change wonderfully, and the beauty of mathematics will ripple, and Li Zheng will become more and more tuned.
He went back and forth, comparing the sounds of each string, "hey, hey," and his brain was full of geometric sequences.
Hearing the decent tuning sound, Lin Yuejing, who was lying on the ground, twisted a little, just like in the classroom, peering through a reasonable gap.
I saw Li Zheng's face flushed, twisted left and right, and muttered something in the mouth.
The whole person rippled out of the strange appearance of Qin Demon.
Lin Yuejing was also shocked.
How can playing a violin pop into the sense of being an Olympic number?
She couldn't help twisting a few more angles, and pulled her hair down to reveal her left ear, listening carefully.
If you are someone else, you may not hear any clues.
But Lin Yuejing shivered as soon as he heard it.
Huh--
The first string, treble mi.
Huh--
The second root, alto si.
Huh--
So tenor.
...
Sixth, bass mi.
Yes, all right.
It was right!
In amazement, Li Zheng struck a string, suddenly raised his head, and magically rolled his eyes. With intuition, he stared at Lin Yujing's hair room, the peeping left eye, with extreme precision.
Internal work has been accomplished.
Come fight!
This time, Li Zheng didn't leave any room and said straightly: "Have you found the score?"
Lin Yuejing's heart beat suddenly, and he shrank to sleep.
This is not good.
Li Zheng frowned: "What do you mean, didn't you ask me if I would like a guitar? Do you want to learn?"
"I...I..." Lin Yujing struggled for a moment, then suddenly fisted up and ran straight to the door. "Thirsty, go get the kettle."
Li Zheng didn't expect that a person who had been sleeping on the ground can just "shoo" and disappear.
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. It was a big deal to ensemble with Jiang Qinghua Qin Xiao.
Outside the classroom, Lin Yuejing did not go to get a kettle, but ran to a row of bungalows in front of the big trees in the classroom, leaning on his back to support his stomach.
In fact, she did not want to win glory for the school, nor did she play tricks on Li Zheng.
It's just a fear of the crowd.
It is different from Li Zheng's heroic style of "blame me for growing up like this, you just watch it casually".
It's also different from Zhang Xiaoke's kind of "hahahaha I'm the cutest~".
Lin Yuejing was very afraid of being stared at.
Not to mention being stared by so many people.
Not to mention being stared at with Li Zheng.
Playing basketball on the playground is already her limit of acceptance.
She performed in public, in front of people from other schools, but she still couldn't take this step.
In the breath, the electronic sound of "Rocketintoorbit" came from the sweater pocket.
Lin Yujing's ear stood, and he took out his phone with some tangles.
This is actually a WeChat reminder sound, which is equivalent to other people's "hey!"
Lin Yuejing thought it was a message from Li Zheng, but did not expect the sender to be [(rocket) mother (rocket)].
Of course, this is actually a note set by her, in fact, her mother Shen Tinglan.
[Mom: Someone has a birthday tomorrow. 】
[Lin Yuejing:? ? ? Are you June? 】
[Mom: (smiley) Yeah, who will it be on December 25? 】
[Lin Yuejing: ...Jesus? 】
[Mom: You guess again. 】
[Lin Yuejing: ... Grandpa Mao? 】
[Mom: (Crying your face and crying) Li Zheng. 】
[Lin Yuejing:? ? ? 】
[Mom: It happened to be seen from his father’s circle of friends (whistle)]
[Lin Yuejing: Deceptive, you never look at the circle of friends! 】
[Mom: The experiment is about to start, shut down. 】
[Mom: By the way, I can’t come back before 12 o'clock. You can eat it by yourself, even with your classmates. 】
[Lin Yuejing: You shut down! 】
[Mom: (air kiss) (air kiss) (air kiss)]
Putting away his cell phone, Lin Yue was very quiet.
Why should you suddenly notify people of this useless news?
What she didn't know was that Li Zheng was also watching her cell phone in the music classroom at this time.
[Lao Li: I just forgot to call on the phone. Do you remember what day tomorrow is? 】
[Li Zheng: ... annoying. 】
[Lao Li: I don’t blame you, my pot, I didn’t expect such a precise stuck on this day. 】
[Li Zheng: Is everything okay? 】
[Lao Li: There are several major operations today. I can’t go back before 12 o'clock. You can ask your classmates to go out for a birthday. I will reimburse you. 】
[Li Zheng: Oh. 】
[Lao Li: So... do you want to make an appointment? 】
[Li Zheng: Are you busy with surgery? 】
[Lao Li: Are you in class? 】
[Li Zheng: Biology class. 】
[Lao Li: Oh, oh, that is. 】
Li Zheng put away his phone, and his original good attitude was completely disturbed by old Li.
It's annoying to have a birthday.
It was the embarrassing time of December 25.
But don't let the students know.
Li Zheng just adjusted his mind a little bit, and then saw Lin Yuejing slipping in a small step, and he was already lying on the piano.
Li Zheng ignored her and took care of the string audition.
After a moment, Lin Yuejing suddenly stomped his feet.
Li Zheng looked up: "Huh?"
Lin Yue kept his head blank.
Li Zheng shook his head and continued to rub.
It didn't take long for me to stomping his feet again.
Li Zheng looked up again: "Huh?"
"You..." Lin Yujing squeezed a few words after a moment of tweaking, "You said it yourself."
"Say what?"
Boom! Stomping again.
Li Zheng thought about it and smiled quickly.
Sure enough, after hearing my piano, she couldn't help but want to cooperate.
But before it was so distracted.
Now, I just want to find a step down.
"Fine I said." Li Zheng raised his hand and smiled, "I want to work with you on a song, can you trouble finding the guitar accompaniment score."
Lin Yuejing finally didn't stomp this time, only twisted his body, and his eyes showed through his hair: "Then...then you have to...November 1, remember clearly..."
"?????" Li Zheng was puzzled, "Did I listen a little less?"
Boom Boom Boom!
Lin Yuejing stomped three times.
"Slag! Stupid! Pig! Hoof! Son!"
"?????" Li Zheng fell into a deep reflection.
I have to pay it back?
What else?
November 1st?
What is this...
and many more……
Is it...
"You...know me...tomorrow?" Li Zheng swallowed.
Lin Yuejing did not speak, expressing default.
"So, are you November...1?"
Stomping! Express affirmation.
Li Zheng understood the situation just now.
She is using the show as a bargaining chip to exchange birthday gifts.
Huh, really a childish woman.
But having said that, this time there was indeed a request from Lin Yuejing. She exchanged this for a future birthday gift, but she did not say anything.
"Good deal, deal." Li Zheng nodded generously, "November 1 right? I remember."
"~~~~~"
"How are you shaking?"
Lin Yue was trembling and comfortable, so she sat up straight, straightened her hair, and said casually: "Then... you play an etude first, and you have to pass the level."
Li Zheng heard the words and stared.
The whole person panicked.
Although he is a master of music theory and a professional string player.
But actually.
Not a song.
It's like a master who has top-level internal strength and mental skills, but he can't even fight with military boxing.
This is very embarrassing.
Lin Yuejing saw this, and said, "Ha! Only stunned pig's trotters."
"Shit..." Li Zheng scratched his head anxiously.
No, somehow.
Think about it.
The most familiar melody.
It can only be that.
To surround the melody, pop out patterns.
According to the mathematical rules of matching the temperament, and the mathematical principles of chords, supplemented by commonly used soundtrack sets...
Li Zheng bowed his head, and the left hand crumpled the thickest two strings.
The right hand tapped the body twice to find the tempo, then cut in at the right time, the thumb quickly fiddled with two thick strings.
The sensational bass accompaniment "Boom Boom" sounded.
Although it is played with a guitar, this fast-paced bass sounds like bass.
This series of quick plucking also shocked Lin Yuejing's medium hair and opened his mouth slightly.
But the blowout did not last long.
Because Li Zheng began to sing.
"Two, a tiger..."
"Two, a tiger..."
"Run fast (broken)..."
Half a minute later, a song "Two Tigers" sang.
Li Zheng pressed the string to pick up the sound, and looked up with his air: "Huh, how?"
Lin Yuejing is still in the middle between "fried hair" and "let me die", and can't say a word.
God-level accompaniment, with ghost-like singing, it feels like eating a cheesecake with soy sauce.
After a long time, Lin Yuejing said what he wanted to say half a minute ago: "You still... don't open your mouth."
"Oh?" Li Zheng raised his eyebrows. "That means, are you satisfied with my fingering?"
Although reluctant, Lin Yuejing bit her lip and nodded: "Try it..."