All-round mathematician

Chapter 146 Beethoven's Moonlight Played with a Formula

"Music can be deduced with mathematical formulas." Yang Fan said calmly, but these words fell into the hearts of several masters, and they did not hesitate to explode a nuclear bomb.

Music is sacred, classic music carries the concept of musicians, and what do they hear now?
The formula turned out to be a mathematical formula.

It's not just the bull's head is wrong with the horse's mouth, it's defilement and contempt for art.

Artists and scientists do not say that they are completely opposite, but their ideology is simply very different.Mathematicians are absolutely rational, musicians are emotional.

"Young man, don't talk nonsense if you don't understand." Master Hall took the lead in taunting, "Maybe there is some connection, but there must be a relationship. Musicians and mathematicians can't take care of both at the same time, and formulas express classic music. Why, in history, Nobody ever thought of that."

"Masters, I'm really not talking nonsense." All the people sitting here are from the music industry, so they naturally tend to be artistic.

Yang Fan is convinced of his philosophy, and he has shared it with more people a long time ago. He also said: "Composers like to use modulation. For example, a piece of music is originally in A major, and it is changed to E major in the middle. At the end, if the melody of the two passages is the same, the composer and the musician will hear the two passages as different, but most people will feel that the two passages are repeating."

This paragraph about music and composition, a few people felt that it was much more pleasing to the ear, and they all nodded in approval.

Yang Fan got excited, and his ideas need to be shared with others to be interesting, said: "I have studied the third movement of "Moonlight", it sounds like it was repeated three times, the first two are indeed identical repetitions, but the third time, It's not on the same tune anymore."

Master Albert of France was relatively seldom talkative, except for Li Yunfei, who was the youngest, because of his qualifications, he was naturally not good at chatting casually.

When he heard about Beethoven, he agreed with it. He himself became famous by playing Beethoven's famous pieces. He nodded and said: "Master Beethoven uses repetitions a lot, and this can reflect the master's superb techniques. Often a little skill, but let the It's even more beautiful when people hear it."

"Mr. Albert is right." Yang Fan flattered him a little, "Actually, it's a clever tune, the melody is somewhat similar, and the interval between the sounds is fine-tuned. If the two melodies are far enough apart, ordinary people may not be able to hear them." Beethoven likes to repeat, such as the first movement of "Pathetique" and "Dawn".

Beethoven's composition skills, Yang Fan said very professionally. Seeing them all listening attentively, he narrowed his eyes and changed his tone: "Actually, this is equivalent to a series of numbers. The size relationship remains the same, but the spacing changes. The effect is similar to From major to minor."

After a good art discussion, Yang Fan changed the topic to mathematics.

Not to mention Westerners who had thought about it long ago, even Li Yunfei couldn't bear it. He secretly gave Yang Fan a wink and helped smooth things over: "Mr. Yang is still young and his personality is not mature enough. Masters, please forgive me."

"No, no, Mr. Li Yunfei, what I'm talking about here is famous songs and composition techniques, which have a lot to do with the music industry, so it's not just nonsense."

The young Yang Fan still didn't understand the embarrassment of the scene. Li Yunfei, who was a few years older, approached, added a cup of coffee to the latter's cup, and said, "Don't be stubborn, music is not that simple."

"I'm not stubborn, I'm just talking about my ideals." Yang Fan doesn't think he's done anything wrong. Reform and change are easy to say, but they are actually challenging the cognition of the solidified class.

If there is a better way to make more famous songs appear, this is the progress of mankind, and we can't plan for a small family. Is it just because the music circle is conservative?

"Whether it is instrumental music or vocal music, it can be expressed and described by mathematical formulas, and it has been proved that these mathematical formulas are the sum of simple periodic sine functions."

"Starting from a section of trigonometric function image, we only need to segment it appropriately to form appropriate bars, and select appropriate points on the curve as the positions of notes, then we can make a piece of music..."

The more you say it, the darker the faces of others. It is a shame for the art world to completely strip art and replace it with naked mathematics.

Yang Fan still obeys mathematics in his heart, and regards mathematics as his first ideal, obviously ignoring the positions of those sitting here.

How can an artist, especially a noble top artist, tolerate the insult to the sacred place in his heart.

It was obvious that the limit of patience was reached, and just as someone was about to have a fit, Li Yunfei yelled that it was not good, and said first again: "Yang Fan, you wait for a while. In this way, we will talk about mathematics later. The piano is still about talent and performance. Let me give you a paragraph."

A trace of pity flashed in Yang Fan's eyes. Such a great combination, the matching of mathematics and music, actually played the piano to the cow.

Sure enough, there is still a distance in thinking. I can't become an artist, and I can't have much in common with the group of people in front of me.If all the people sitting here are mathematicians, they must support their own ideas.

Then, use other methods to tell the world that mathematics can be applied in countless fields.

He laughed at himself and said, "Okay, then I'll play the passages of Mr. Beethoven's "Pathetique" and "Moonlight" just mentioned."

A total of six people put down their coffee and followed Master Hall to a small concert hall with a total of fifty seats.

On the high platform in front, there is a piano.A circular beam of light covers the piano, making the piano more mysterious and elegant.

The five people stopped at the first row of seats, walked to the center and sat down.Yang Fan walked up to the stage along the side stairs, set up the stools, opened the piano cover and sat down.

Looking from the audience, it happened that Yang Fan could be seen from the side.Although his waist is straight, he is full of energy, and his movements are standard, but he still makes people feel flustered.

"Clothes."

Li Yunfei clutched his forehead, wearing a short sleeve and a pair of loose trousers, no matter how he looked at it, he felt that the picture was incongruous.

"Doesn't he have a gentleman's uniform?" Master Hall asked.I wanted to ask this question when we first met, and now I can prove that the master is extraordinary.

"Yes, this person is quite famous in China." Li Yunfei helped him brag, and he played the piano with the strongest brain. There must be many people who have heard of this person. You can't say that Li Yunfei is lying, "The talent on the piano is recognized by the people of the country. It's just this I came back to participate in the Olympiad, so I didn’t care about putting on my clothes.”

Li Yunfei once told several masters that he has an unusual relationship with Yang Fan. He discovered Yang Fan's talent since he was a child, so he let Yang Fan play in one of Li Yunfei's performances.

And it was at that time that Yang Fan played Genesis perfectly.

"I've already ordered the clothes, so I won't delay the performance." Li Yunfei said.

When Master Hall was about to say something, the music started and everyone was silent.

The third movement of Beethoven's Moonlight Sonata flows in the quiet auditorium.

In the quiet night, a ray of moonlight passed through the darkness to the sky and fell on the earth. The ground seemed to be covered with a layer of silvery white, full of light, illuminating people's hearts.

The moonlight is softer. In the deep forest, with the trembling of the branches, one bright and one bright, and the river bank is sparkling.

This is a mysterious night.

Just as everyone closed their eyes and enjoyed the tranquility and peace, the moonlight suddenly became sharp, and the originally harmonious picture suddenly changed drastically.

"No, the taste is not right at all." Master Hall stood up for a moment, then remembered that he was still playing live, covered his mouth and forced himself to suppress his mood.

They are all prestigious pianists, so they can naturally hear the change in taste.

"How could there be a university student?"

The moonlight talks about the scenery and explains the tranquility in the night.However, what they interpret now is a lonely hero.

He was sighing at the moon, holding a book in his hand, reading by the moonlight.The blurred figure and face made his eyes even more dazzling.

In his eyes, there is endless thought.Are you thinking about flying into the stars?Still feel pity for human beings standing still.

"Don't you say that his taste in playing Genesis is different from that of ordinary people, even the moonlight has been changed beyond recognition." The sentimental Master England Fried sighed.

So is unrecognizable good or bad?If it was at the examination site, these masters would definitely tell people to leave immediately, and the examination would not pass.

Now these experts, listening carefully, the fingering and rhythm are correct, the only change is the emotion.

In music, as long as it can carry the player's thoughts, it is the top.

In 5 minutes, the content of their interpretation is still that scholar, this is not the moonlight, but the loneliness of that scholar in the moonlight.

From scenery to humanities, there is no distinction between high and low, only differences in ideas.

After a short rest of about ten seconds, Yang Fan crossed his fingers to relax, and continued to the next piece, the first movement of Beethoven's "Pathetique".

In C minor, the grand sonata form expresses the indignation towards fate and the fortitude and unyielding demeanor in a desperate situation. .

The original normal taste of the music shifted again.

"Hero, this time a hero."

The hero is neatly armored, with a shield in his left hand and a spear in his right. The hero takes a few steps back in place, runs up, and forms a bow. His hands are like thunderbolts, shooting into the endless void. This is a fight against the injustice of fate.

……

The music stopped, the taste was very different from the original, and the masters heard more, more.

Master Hall patted Li Yunfei on the shoulder and said, "Li Yunfei, watch him carefully and let him go further. It won't take 20 years. He will be responsible for the piano industry in the East."

Master Huoer has a half-teacher friendship with Li Yunfei and always calls him by his name.

Li Yunfei was slightly taken aback, as if he had never had such a high evaluation back then, so that's fine.He responded with a smile: "I will pay attention."

"Not in the future, I think Mr. Li wants to watch now." The rigorous and rigid Master Deutsche Claude agreed with Hall, but he was not optimistic about the development prospects, and said, "I think he is too young and doesn't know his priorities. Going further and further down this evil path is a waste of talent."

Is mathematics evil?In the hearts of a few people, it is completely useless, art is art, and to match academics is not the wrong way.

"Yes, you can look at mathematics. The end point is to focus on music."

"If you are good at mathematics, you will stay in the financial industry, and you will be full of money. This is the taint of art."

Several people belittled mathematics all the way, in order to let Yang Fan specialize in piano.

(End of this chapter)