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

Music is sacred, classical music carries the philosophy of musicians, and what do they hear now?

Formulas, it turned out to be mathematical formulas.

It's not just the bull's head that doesn't match the horse's mouth, it's a defilement, it's a contempt for art.

Artists and scientists are not completely opposed, but their ideas are very different. Mathematicians are absolutely rational, musicians are emotional.

"Young people, don't talk nonsense if you don't understand. Maestro Hall took the lead in the mockery, "There may be some connection, but there must be a relationship between the importance of the musician and the mathematician, and the formula expresses classical music, why no one has ever thought about it in history." ”

"Ladies and gentlemen, I'm not talking nonsense. "The people here are all musicians, so naturally they are biased towards the artistic aspect.

Yang Fan is convinced of his own philosophy, and has long shared it with more people, he added: "Composers like to use transposition, for example, a piece is originally in A major, and the middle is changed to E major until the end, if the melody of the two sections is the same, then the composer and musician will hear that the two sections are different, but most people will think that these two sections are repeating." ”

This paragraph about music and composition, several people felt that it was much more pleasant to listen to, and they all nodded in approval.

Yang Fan was energetic, and his thoughts needed to be shared with others to make sense, and said: "I have studied the third movement of "Moonlight", and it sounds like it has been repeated three times, the first two times are indeed the same repetition, but the third time, it is no longer in the same key. ”

Master Albert of France has relatively few words, except for Li Yunfei, who is the youngest, because of his qualifications, he is naturally not easy to talk casually.

Hearing that Beethoven was talking about Beethoven, he agreed that he himself became famous by playing Beethoven's famous songs, and nodded: "Master Beethoven uses repetition to break a lot, and here you can reflect the master's superb technique, often a little skill, but it makes people listen to it more beautifully." ”

"Mr. Albert said it well. Yang Fan patted a little fart, "In fact, the ingenious tune, the melody is a bit similar, the interval between the notes is fine-tuned, if the two melodies are far enough apart, ordinary people may not be able to hear the difference, Mr. Beethoven likes to repeat, such as the first movement of "Pathétique" and "Dawn". ”

Beethoven's composition skills, Yang Fan said very professionally, seeing that several of them were listening, his eyes narrowed, and he changed his tone: "In fact, it is equivalent to the size of a series of numbers here, but the spacing changes, and the effect is similar to a major key to a minor key." ”

had a good discussion of art, and Yang Fan shifted the topic to mathematics.

Not to mention that Westerners have long thought about it, even Li Yunfei couldn't bear it, he secretly gave Yang Fan a look and helped to start a round: "Mr. Yang is still younger, and his personality is not mature enough, please forgive me, masters." ”

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

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

"I'm not stubborn, I'm talking to everyone about ideals. Yang Fan doesn't think that he has done wrong, reform and change, saying that it is simple, is 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, can we give up just because of the conservatism of the music industry?

"Both instrumental and vocal music can be expressed and described by mathematical formulas, and it has been proved that these mathematical formulas are the sum of simple periodic sinusoidal functions of 1."

"Starting from a trigonometric image, we only need to segment it appropriately, form the appropriate bars, and choose the appropriate points on the curve as the position of the notes, then we can make a stanza ......"

The more they talked, the darker the faces of other people, and it was a shame for the art world to completely strip away the art and replace it with naked mathematics.

Yang Fan still follows mathematics in his bones, and also regards mathematics as the first ideal, obviously ignoring the position of the few people here.

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

It was obvious that he had reached the limit of patience, and just when someone was about to have a seizure, Li Yunfei secretly screamed badly, and once again spoke first: "Yang Fan, you wait first." In this way, we will talk about mathematics later. The piano is still about talent and performance, or I'll 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, and I can't become an artist myself, and it is impossible to have much common language with the people in front of me. If all the mathematicians in this room were mathematicians, they would have embraced their own ideas.

Then, in other ways, tell the world that mathematics can be applied in countless fields.

He laughed self-deprecatingly and said, "Okay, then I'll play a passage of Mr. Beethoven's "Pathétique" and "Moonlight" that I just mentioned. ”

There were six people in total, put down their coffee, and followed Master Hall to a small recital hall, with a total of fifty seats.

On the high platform in front of us, a piano is placed. A circular pillar of light envelops the piano, making it more mysterious and elegant.

The five stopped in the first row and walked to the center and sat down. Yang Fan ascended the stairs on the side to the stage, set up a stool, lifted the lid and sat down.

Looking from the stage, Yang Fan can just be seen on the side. Although his waist is straight, full of energy, and his movements are standard, he still makes people panic.

"Clothes. ”

Li Yunfei covered his forehead, a short sleeve, a pair of loose trousers, no matter how you look at it, you feel that this picture is incongruous.

"Doesn't he have a gentleman's attire?" said Master Hall. I wanted to ask this question when we first met, and the turtle has been able to prove that the master's bearing is extraordinary.

"Yes, this one is quite famous in China. "Li Yunfei helped him brag, the strongest brain performs the piano, there must be many people who have heard of this, you can't say that Li Yunfei lied," the talent on the piano is recognized by the Chinese people. It's just that this time I'm here to participate in the Olympiad, and I don't care about the clothes on the ground. ”

Li Yunfei once said to several masters that his relationship with Yang Fan was extraordinary, and he discovered Yang Fan's talent since he was a child, so in one of Li Yunfei's performances, Yang Fan was allowed to play.

And Yang Fan was at that time, playing the Book of 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 played, and everyone was silent.

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

In the quiet of the night, a moonlight pierces through the darkness to the sky and spills on the earth, and the ground seems to be covered with a layer of silver white, shining with light, illuminating people's hearts.

The moonlight is softer, and in the deep forest, as the branches of the trees shake, one bright and brighter, and the banks of the river are sparkling.

It was a mysterious night.

Just when everyone closed their eyes and enjoyed this peace and tranquility, the moonlight suddenly took on a hint of sharpness, and the originally harmonious picture suddenly changed greatly.

"No, it doesn't taste right at all. Master Hall rubbed his feet, and then remembered that he was still playing live, and covered his mouth to force his mood to suppress.

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

"How could it be that there were university scholars?"

Moonlight speaks of scenery and tranquility at night. But now they are reading 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 more dazzling.

In his eyes, there was endless deep thought. Are you thinking about flying into the stars? Or are you feeling sorry for humanity standing still?

"Do you say that he plays Genesis and tastes different from ordinary people, and even the moonlight has been changed beyond recognition. The sentimental Master of England sighed.

So is it good or bad to be unrecognizable? If it is at the examination site, these masters will definitely ask people to leave immediately, and the examination will not be successful.

Now they are experts, listen carefully, the fingering and rhythm are correct, and the only change is the feelings.

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

Five minutes, the content of their interpretation is still the scholar, this is not the moonlight, this is the loneliness of the scholar in the moonlight.

From the scenery to the humanities, there is no distinction between high and low, only the difference in concept.

After a short break of about ten seconds, Yang Fan crossed his fingers to relax and continue to the next song, the first movement of Beethoven's "Pathétique".

C minor, a magnificent sonata style, expresses the indignation of fate and the resolute and unyielding bearing in a desperate situation.

The normal taste of the piece has shifted again.

"Hero, this time it's a hero. ”

The hero is neatly armored, with a shield in his left hand and a spear in his right hand, the hero takes a few steps back on the spot, helps to run, and the person is a bow, and his hand is like a thunderbolt and lightning, shooting into the endless void, which is a fight against the injustice of fate.

......

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

Master Hall patted Li Yunfei on the shoulder and said, "Li Yunfei, take a good look at him, let him go further, not twenty years, the piano class in the East should be borne by him." ”

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

Li Yunfei was slightly stunned, as if he had never had such a high evaluation back then, so it was fine. He responded with a smile: "I'll pay attention." ”

"Don't in the future, I think Mr. Li wants to stare at it now. The rigorous and rigid German master Claude agreed with Hall, but was not optimistic about the development prospects, and said, "I think he is too young to know the priorities, and he has gone further and further on the evil road of mathematics, which is a waste of talent." ”

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

"Yes, you can look at math, the end is to put your mind on music. ”

"If you are good at mathematics, you are all in the financial world, and you are full of money, which is the stain of art. ”

Several people belittled mathematics, just to let Yang Fan specialize in piano.