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At noon, the news that the post station sold newspapers spread quickly, and they were sold out.The remote places will definitely not be sold out, but the Zhenjiang station, newspapers are definitely in high demand, and they can only apply for an increase in sales next month.

In the lobby of the restaurant, the two business travelers had an argument on the spot because of the contents of the newspaper.

"It turns out that the previous rumors were all false. The newspaper published the royal genealogy. His majesty is the Zhao family of Tianshuitang, Gansu. He moved to Shanxi during the Tang and Song Dynasties, and immigrated to Hebei in the early Ming Dynasty." A businessman said enthusiastically.

The person at the same table said: "Isn't it a descendant of the Zhao Song royal family? Liaodong fierce general Yang Zhenqing, I heard that he is a descendant of the Yang family general, and the general came down to earth to help the old master."

"Hey, it's all made up by the people." The businessman said before.

The businessman at the next table was not happy, and stood up to retort: ​​"My surname is Zhao, and all people surnamed Zhao come from Tianshuitang in Gansu, and the royal family of Zhao and Song also came from Tianshuitang. Today's family has the same ancestor as that of Zhao and Song." .Besides, there are countless descendants of Zhao and Song Dynasties, and it may be some prince who moved to Shanxi."

"It's nonsense, His Majesty has published the newspaper to disassociate himself from it."

"Who said to separate the relationship? Your Majesty only said that he came from Tianshuitang, and his ancestors moved to Shanxi during the Tang and Song Dynasties."

"I moved to Shanxi in the Tang Dynasty, so it doesn't matter if it's Zhao Song!"

"..."

The faces of the people at the two tables were arguing because of a small newspaper.

No matter who wins or loses, everyone knows very well that the "Datong Monthly" will be indispensable in the future, and a lot of information will have to be obtained from this thing.

There are also businessmen who have used their brains. The imperial court can run newspapers, why can't they themselves?

The main content of the previous newspapers was copied from the Di Bao, and it also included some business information, as well as major news, such as the explosion of the Wang Gong Factory.

And the magazines and publications that originated from literati gatherings are all poems, dramas, and operas.

Why not combine the two genres, report some folk anecdotes, and make it into a reading material that ordinary people prefer to read?

A folk tabloid is about to be born.

Chapter 617 [Lu Lu]

"There are constant disasters in successive years, which must be felt by heaven and man. Your Majesty said that people help themselves and heaven helps them. This statement is naturally correct, but we must not forget to respect the gods of heaven and earth..."

"The sage said, respect ghosts and gods and keep them at a distance... how can I explain this? It's just like your majesty, respect but not fear. There is an ancient saying that man will conquer the sky..."

"Datong Monthly" also had a huge influence among scholars.

The most typical manifestation is that civil scholars will also discuss the content of the court meeting published in the newspaper.You know, this is a court meeting. In the past, only the emperor and ministers knew about it.Now ordinary scholars can also see it, so how could they not follow suit?

And no matter how outrageous the dispute is, they are all concerned about state affairs, and they have a sense of satisfaction that they worry about the world.

Hearing the quarrels outside, Chen Zisheng couldn't help shaking his head: "These guys don't do their business, and they follow the country scholars all day long."

Xiao Shixuan said: "Let them discuss it, and it will be quiet after the quarrel."

The planetarium of Qintianyuan is noisy, but the mathematics hall next door is full of crackling and abacus sounds.

"Clap clap clap clap!"

After finishing the abacus, Kuang Hong wrote down the data and said: "The calculation of Huang Zhong in "Historical Records" is indeed wrong, and the value given in "Mengxi Bi Tan" is correct."

"I said earlier that Tai Shi Gong was wrong, but maybe he didn't count it. He made a mistake when he copied the historical materials." Chen Zisheng said.

Xiao Shixuan had a huge calculation in front of him, and he had been working on it for more than half a month, and at this moment he finally came to the result: "Zhu Zaiyu was right, He Chengtian was slightly off."

He Chengtian lived in the Southern and Northern Dynasties, and tried to calculate the twelve equal laws, and got the value: 1.060070671.

Zhu Zaiyu, the patriarch of the Ming Dynasty, also calculated the twelve equal laws, and the obtained value was: 1.059463094.

He Chengtian's calculation method is very rough, and he also used this method to calculate the pi, which was used for reference by Zu Chongzhi when he calculated the pi.

However, Zhu Zaiyu was even more ruthless. He made his own 81-level abacus, which can produce square roots and cube roots with more than 20 digits.

Xiao Shixuan looked at the results of the two mathematicians, pondered their calculation methods, and said with emotion: "Although Zhu Zaiyu's numbers are correct, the mathematical methods he used are too backward. Although He Chengtian is wrong, but His mathematical methods are more advanced. Whether it is Shen Kuo or Zhu Zaiyu, they are not as good as this He Chengtian in terms of mathematical methods!"

Chen Zisheng said: "But Zhu Zaiyu is also very powerful. He also broke away from the traditional three-point profit and loss method, and standardized and revised the Lulu (Twelve Laws)."

Xiao Shixuan said: "Your Majesty taught us the method of analyzing geometry, and we already have the concept of variables. He Chengtian talked about the 'quantity of accumulating micro', and Shen Kuo talked about 'the art of making micro'. Can the combination of the two get the law of twelve equals?" ?”

Chen Zisheng said, "I'm afraid the two have nothing to do with each other."

Xiao Shixuan shook his head: "The shape is not similar, but the spirit is similar. We have to jump out of our thinking and formulate a mathematical method to calculate Lulu. I had this idea two years ago, and I have already figured out something."

Zhao Han's major before time travel did not require advanced mathematics, so he could not teach calculus.But the analytic geometry he taught could serve as a precursor to the invention of calculus.

In fact, Xiao Shixuan has already figured out the differential, and another mathematician has figured out the integral.And they guessed the relationship between differential and integral, but they haven't really demonstrated it yet. They are on the verge of creating calculus, but there is always a layer of window paper that has not been pierced.

Everyone else was kicked out, and Xiao Shixuan was the only one left in the room, quietly facing the super big abacus of one hundred gears.

This kind of super big abacus was invented by Zhu Zaiyu, the king of Zheng, and it comes with a brand new method of using the abacus, which can be used to perform root calculations in a primitive and rough way.For example, to calculate the law of twelve averages, the core problem is to find the 2th root of 12, and Zhu Zaiyu really did it with an abacus.

Standing in front of the abacus from morning to evening, Xiao Shixuan suddenly felt a little hungry.

Integrals and differentials hovered in his mind, as if the two tendons could not be connected, and he walked towards the cafeteria like sleepwalking.Xiao Shixuan didn't know what to eat tonight, he just put the food into his mouth and stared at the table with unfocused eyes.

"Pfft...cough cough cough!"

Xiao Shixuan suddenly thought of something, as if a flash of lightning flashed across his mind.He spit out a mouthful of food, coughed several times, and suddenly ran back to his office.

……

A few days later, Xiao Shixuan asked to see the emperor.

Zhao Han has always treated the researchers of Hanlin Academy and Qintian Academy very preferentially.As long as you have a master's degree or above, you can ask for a meeting at any time, and you must arrange to meet within three days.

"Great mathematician, what new discoveries?" Zhao Han asked with a smile.

Xiao Shixuan said: "Your Majesty, please correct Lu Lu."

Zhao Han wondered: "It's so good, why do you want to revise the law?"

Xiao Shixuan explained: "Since the pre-Qin period, the twelve rhythms have not been equal. Ritual music is a major event in the country. The uneven twelve rhythms will be disharmonious when played. Those who study astronomy in the past dynasties know that the yellow bell cannot be restored. For more than [-] years, people have been searching for a method to restore the yellow bell. Zhu Zaiyu, king of Xiaozheng in the previous dynasty, has found a method of restoration, and the officials and others have recently verified it, and King Xiaozheng's calculation is indeed the law of twelve equals."

Zhao Han became even more confused: "Lulu is music, so why is it related to astronomy?"

Xiao Shixuan said: "The "Book of Changes" is the first of the Hundred Classics. Everything in China in China comes from the "Book of Changes", and the "Book of Changes" comes from astronomical research. The twelve laws correspond to the twelve qi. If you want to count the twelve laws, you must first ask for the Yellow Bell, just like making a calendar to count the winter solstice. The root of the Huangzhong can be used to get the Ruibin, just like making a calendar to calculate the summer solstice. Your Majesty, no matter whether it is a sacrifice or a court meeting, the music played is consistent with astronomy .If you don’t revise the law, it’s like not revising the calendar.”

Huang Zhong is in the key of c in Western music, and Rui Bin is in the key of f# in Western music.

In terms of music, the East and the West are actually the same. For thousands of years, they have been seeking the correct value of the twelve equal temperament, just like everyone is seeking a more accurate pi.

Gong, Shang, Yu, Bianzheng, Zheng, Jiao, and Biangong correspond to the seven white keys of the piano, including Duo Lai Mi Fa Tuo.

The twelve rhythms are also completely corresponding: Huangzhong (c-tune), Lin Zhong (g-tune), Taixu (d-tune), Nanlu (a-tune), Guxi (e-tune), Yingzhong (b-tune), Ruibin (f# tune), Da Lu (c# tune)...

The twelve rhythms are further subdivided. For example, Huang Zhong also distinguishes Qing Huang Zhong, which is the higher octave of Huang Zhong.

The theoretical value of the clear yellow bell should be half of the yellow bell, so that the yellow bell can be restored when the tone is fixed.If the twelve equal temperaments cannot be calculated, the yellow bell cannot be restored, and there must be errors in the temperament. Musicians from both the East and the West have discovered this situation.

Little Zheng Wang Zhu Zaiyu is a bug. He used an abacus to calculate the 2th root of 12 without calculus, and forcibly calculated the correct value.This value was spread to the West, and the modern piano was born, as well as the modern music theory system.

Of course, when calculating the twelve equal temperament, music is only a subsidiary meaning, and it can also be applied to many fields such as astronomy.

After Xiao Shixuan explained in detail, Zhao Han finally understood that the music of the East and the West are the same, and that Chinese music is not just a pentatonic scale.The chime bells in the pre-Qin period used twelve rhythms, and the names Huang Zhong, Ying Zhong, and Lin Zhong were probably related to the chime bells in the pre-Qin period.

As for how important the Twelve Lulus are, it can be seen from the "Historical Records" that Sima Qian recorded the data of the Twelve Lulus in detail-although there are still errors in the records.

"Zhou Li", "Book of Rites" and other books also record the twelve laws in detail, but most people can't understand them at all, because they are all related to the numbers of Lulu.Only those who are proficient in mathematics can truly read the "Book of Rites".

Zhao Han said to Li Xiangjun: "Draft an imperial edict and order the Mathematics Museum of Qintian Academy to assist the Ministry of Rites to revise the Lulu. The revised Lulu will be published in the "Datong Monthly News". Revised in Datong Monthly."

"According to the order."

While Li Xiangjun was drafting the imperial edict, he couldn't help but look at Xiao Shixuan twice more.She studied music since she was a child, but unexpectedly she made a mistake and was corrected by a math student.

Zhao Han asked: "During this period of time, have you verified Zhu Zaiyu's results?"

Xiao Shixuan replied: "Reporting to Your Majesty, not only has it been verified, but also a new set of mathematical methods has been formulated. Zhu Zaiyu used a big abacus to forcibly break the roots. The new method used by the minister is temporarily named 'calculus'."

"Cough, cough, cough!"

Zhao Han choked and coughed, and made a calm look: "Calculus?"

Xiao Shixuan said: "It is calculus. Xunzi said that the smallest is great, and the one who accumulates the small is the work. The people who study mathematics in later generations, the amount of the small and the technique of making the small are derived from Xunzi's theory. "

In fact, Zhao Han really wanted to say, you are so awesome that you didn't even change your name.

Zhao Han asked: "How did you create the calculus?"

Xiao Shixuan said: "This method benefits from the analytic geometry taught by His Majesty. In the past ten years, with the help of analytic geometry, people who study mathematics have created two sets of methods, which can be called differential and integral. The more they study, the more they discover this The two sets of methods are related. The day before yesterday, I verified the twelve equal laws, and found in the "Sui Shu" the method used by He Chengtian, a scholar of the Southern and Northern Dynasties, when calculating the twelve laws. "But only a few words are recorded. Later, I checked other classics, and I can probably guess what method he used. Although it is not a real calculus, it gave me an inspiration."

"Thank you for your hard work."

Zhao Han can only say that this group of mathematicians actually studies rhythm, but to study rhythm, they have to read "Historical Records" and "Sui Shu", and then get inspiration to create calculus.

What is this all about?

It's too much cross-professional.

Zhao Han thought for a while and said, "Use twelve equal temperaments to invent a musical instrument, and you can play all the melodies by hitting the strings with buttons."

Xiao Shixuan was stunned for a moment, and muttered, "I...no way."

"Forget it, I'll find someone else to make it." Zhao Han thought to himself, you can't do it either, I thought you could invent the piano.

Chapter 618 [Song of the Holy Emperor Breaking the Formation]

In the capital, a new issue of "Datong Monthly" was released, and major restaurants bought it one after another, and then asked literate staff to read it to the diners.

This is also a way to attract business, and it is very fashionable.

The store clerk stood on the bench, shaking his head with a newspaper and reading: "At the end of the month, the emperor and the ministers talked about Lulu. "Shangshu·Yao Dian" has a saying: Yushun... the same time as the moon and the sun, the same law weights and measures. Law weights and measures , the four are the major events of the country. Although Qin Shihuang unified the weights and measures, the laws and regulations have always been biased. There is a saying in "Book of Rites · Li Yun": Therefore, the sages must take heaven and earth as the foundation, Yin and Yang as the end, and the four seasons as the handle. ..."

The shop clerk became more and more dizzy as he read it. Although he knew all the words, he couldn't understand them together.

The diners in the lobby of the restaurant also heard it in a daze, and only a few of them could understand what it meant.After reading this, the distinguished guests on the second floor also walked out of the box one after another, leaning on the railing to listen to the shop assistant reading the newspaper.

"According to the calculations of doctors, masters, and bachelors from the School of Mathematics of Qintian Academy, there are errors in the records of "Historical Records" in Lulu, or Tai Shigong's transcribed mistakes. And tell the world." The store clerk read this, vaguely feeling that he had read something very important.

"boom!"

There was an uproar in the lobby, and scholars spoke out one after another.Some people yelled at the mathematics hall, thinking that it was impossible for Sima Qian to make a mistake, and some people wanted to go home and verify it for themselves. .

"Order the Mathematics Center of Qintianyuan to assist the Ministry of Rites to revise the law. The current ruler will be revised according to the revised law, and the measured acres of the world's fields will remain unchanged..."

A few knowledgeable scholars stood up in surprise on the spot, then looked at each other not knowing what to say.

Rhythm weights and measures are connected together, and lulu is not just as simple as music.

Huang Zhong's rhythm tube must be nine inches, and the ruler for measuring length should be determined according to Huang Zhong's rhythm tube.There have been standard instruments in all dynasties, and the local governments have used them to make local standard instruments, and the folks have made rulers, weights, etc. based on local standard instruments.

The central standard of the Ming Dynasty can no longer be found, and the standards of various places have errors.For example, one foot is 32 centimeters in some places, 33 centimeters in some places, and even 31 centimeters in some places.Before Zhao Han Zhang Tian, ​​he used the standard ruler of Ji'an Prefecture in Jiangxi Province, which is about 32.6 centimeters per foot.

Now that the Qintian Institute of Mathematics has revised the Lulu, the revised Huangzhong Luguan can be used to determine the real national standard size.

This does not interfere with private measurements and transactions, as there are bound to be errors.But the standard size must be unified, and the Ministry of Rites will make a standard device and distribute it to the governments of various places as a reference.

At the same time, the newspaper also said that the weight unit will also develop a standard device in the future.

Laws and measures in various places only allow a small range of errors, and all errors that are too outrageous are banned.Especially for pawnshops and banknotes, their rulers, weights, and beams must be checked, and if the error is too large, they will be punished.

The clerk was still reading the newspaper: "Xiao Shixuan, head of the Qintian Academy, pioneered the technique of mathematical calculus. Adding officials... Prince Shaobao?"

Suddenly, the audience was silent.

Prince Shaobao is the lowest-ranking official in Sangong Sanguli.But a person who studies arithmetic can be promoted to three orphans?

The store clerk murmured: "I can do arithmetic, and the calculation can be done quickly. Why don't you give me an official title?"

"What is calculus?" asked a scholar.

The person at the same table said: "How do I know?"

Some diners shouted: "Shop boy, did the newspaper say, what is the art of calculus?"

"Yes, yes, I will read... read it right away," the shop clerk suddenly said with a bitter face, "I don't know how to read it, I have been in elementary school for three years, and I know all the numbers, but these symbols are like ghosts. Bao, it’s really not something ordinary people can do.”

A diner ran over, glanced at the newspaper, and said to himself: "Sure enough, it is similar to the talismans drawn by Taoist priests. This Dr. Xiao must be a scholar of heaven and man. Presumably, the art of calculus can secretly understand the principles of heaven and earth." , is the legendary Qimen Dunjia."

Another diner threw down his chopsticks and ran over. After reading the newspaper, he said: "In the future, all Taoist priests in the world may want to come to Nanjing to learn the secret art of calculus. Xin. Now that the emperor is so generous, he has published the secret technique in the newspaper, and anyone who is destined to understand it can understand it."

"Have you realized it?" Someone asked with a smile.

The diner shook his head, and glanced at the newspaper again: "This secret technique has nothing to do with me, it is estimated that people with deep spiritual roots can understand it."

The person next to him said: "Xiao Zhangyuan of Qintianyuan seems to be from the Taoist lineage. The monk can only recite scriptures, but he can't draw symbols..."

"Who said that? The monks in my hometown can draw symbols." Someone retorted immediately.

……