"Disasters have continued for years, which must be caused 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 worship the gods of heaven and earth..."
"The sage said, respect ghosts and gods and keep away from them... How can I explain this? It is just like your majesty, respect but not fear. The ancients said that man will definitely conquer heaven..."
"Datong Monthly" also had a huge influence among scholars.
The most typical manifestation is that civilian scholars will also discuss the content of the court meeting published in newspapers. 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, how could they not follow suit?
And no matter how outrageous the dispute is, they are all concerned about national affairs, and they have a sense of satisfaction that they are worried about the world.
Listening to the arguments outside, Chen Zisheng couldn't help but shake his head: "These guys, instead of doing business, just follow the country scholars and make noise 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 museum next door is full of the crackling sound of abacus.
"Pap-pap-pap-pap!"
After finishing the abacus, Kuang Hong wrote down the data and said: "The calculation of Huang Zhong in "Historical Records" is indeed wrong. The value given in "Mengxi Bi Tan" is correct."
"I said earlier that Tai Shigong was wrong. Maybe he didn't even do the math. He made a mistake when copying historical materials." Chen Zisheng said.
Xiao Shixuan had a huge calculation in front of him. He had been hammering it out for more than half a month, and finally came to the result: "Zhu Zaiyu was right, and He Chengtian was slightly off."
He Chengtian lived in the Southern and Northern Dynasties and tried to calculate the law of twelve equals, and the value he obtained was: 1.060070671.
Zhu Zaiyu, a clan member of the Ming Dynasty, also calculated the twelve equal laws and obtained the value: 1.059463094.
He Chengtian's calculation method was very crude. He also used this method to calculate pi, which was used as a reference by Zu Chongzhi when he calculated pi.
Zhu Zaiyu, on the other hand, was even more rude. He made his own 81-speed abacus, which could calculate square roots and cube roots with more than 20 digits.
Xiao Shixuan looked at the results of the two mathematicians and thought about their calculation methods. He said with emotion: "Although Zhu Zaiyu's numbers are correct, the mathematical methods he used are too backward. Although He Chengtian was wrong, he was wrong.
His mathematical methods are more advanced. Neither Shen Kuo nor Zhu Zaiyu are as good as 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 law (twelve laws)."
Xiao Shixuan said: "Your Majesty taught us the method of analytic geometry, and we already have the concept of variables. He Chengtian talked about the 'quantity of accumulation', and Shen Kuo talked about the 'technique of making micros'. Can we get the twelve equal laws by combining the two?
?”
Chen Zisheng said: "I'm afraid there is no connection between the two."
Xiao Shixuan shook his head: "The shape is different but the spirit is similar. We have to think out of the box and formulate a new mathematical method to calculate the law. I had this idea two years ago and have already figured out something."
Zhao Han's major before time travel did not require mastery of advanced mathematics, so he could not teach calculus. However, the analytic geometry he taught could serve as a precursor to the invention of calculus.
In fact, Xiao Shixuan has already figured out differential calculus, and another mathematician has figured out integral calculus. And they have guessed the relationship between differential calculus and integral calculus, but they have not yet really demonstrated it. They are on the verge of creating calculus, but there is always a window.
The paper was not torn.
Everyone else was kicked out, and only one person, Xiao Shi, was left in the room, quietly facing the super abacus with a hundred levels.
This super large abacus was invented by Zhu Zaiyu, the young king of Zheng. It comes with a brand-new method of using the abacus, which can perform root calculations primitively and crudely. For example, when calculating the twelve equal laws, the core problem is to find the 12th power of 2
Gen, Zhu Zaiyu really typed it out with an abacus.
Standing in front of the abacus from morning to evening, Xiao Shixuan suddenly felt a little hungry.
Integrals and differentials were swirling in his mind, as if he could never connect with each other, and he walked towards the cafeteria like a sleepwalker. Xiao Shixuan had no idea what he was eating tonight, he only knew how to put the food into his mouth.
, looking at the table with unfocused eyes.
"Pfft...cough cough cough!"
Xiao Shixuan suddenly thought of something, as if a bolt of lightning flashed through his mind. He spat out a mouthful of food, coughed several times in succession, and suddenly ran back to his office.
…
A few days later, Xiao Shixuan asked to see the emperor.
Zhao Han has always treated researchers from the Hanlin and Qintian academies very favorably. As long as they have a master's degree or above, they can ask for a meeting at any time, and the meeting will definitely be arranged within three days.
"What new discoveries have you made, great mathematician?" Zhao Han asked with a smile.
Xiao Shixuan said: "Your Majesty, please revise the law."
Zhao Han asked doubtfully: "You're so good, why do you want to revise the law?"
Xiao Shixuan explained: "Since the pre-Qin Dynasty, the twelve rhythms have been uneven. Ritual and music are important events of the country. The twelve rhythms that are not equal will be disharmonious when played. Those who have studied astronomy in the past dynasties all know that the yellow bell cannot be restored.
For more than two thousand years, people have been looking for a way to restore the Yellow Bell. The former King of Zheng, Zhu Zaiyu, has found a way to restore it. I and others have recently verified it, and King Zheng’s calculation is indeed the law of twelve equals."
Zhao Han became even more confused after hearing this: "Lulu is music, how come it has anything to do with astronomy?"
Xiao Shixuan said: "The Book of Changes is the first of the Hundred Classics. Everything in China and 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 calculate the twelve laws, you must first ask for the yellow bell, just like calculating the winter solstice before formulating a calendar. The yellow bell can get the root of Ruibin, just like formulating a calendar to calculate the summer solstice. Your Majesty, whether it is a sacrifice or a court meeting, the music played is consistent with astronomy.
.If the laws and regulations are not revised, it is like not revising the calendar."
Huangzhong is the key of C in Western music, and Ruibin is the key of F# in Western music.
In terms of music, the East and the West are actually the same. They have been seeking the correct value of the twelve equal temperaments for thousands of years, just like everyone is seeking a more accurate pi.
Gong, Shang, Yu, Bian Zheng, Zheng, Jiao, Bian Gong, correspond to the seven white piano keys such as Doremi and Fashu.
The twelve rhythms are also completely corresponding: Huang Zhong (C key), Lin Zhong (G key), Taiqu (D key), Nanlu (A key), Guxi (E key), Yingzhong (B key),
Ruibin (in the key of F#), Dalu (in the key of C#)...
The twelve rhythms are also subdivided. For example, Huang Zhong is also divided into Qing Huang Zhong, which is the higher octave of Huang Zhong.
The theoretical value of the Qing Huang Zhong should be half of the Huang Zhong, so that the Huang Zhong can be restored when tuning. If the twelve equal temperaments cannot be calculated, the Huang Zhong cannot be restored, and the temperament must have errors. Musicians from the East and the West
Everyone discovered this.
The little Zheng Wang Zhu Zaiyu was a bug. He actually used an abacus to calculate the 12th root of 2 without calculus, and forcibly calculated the correct value. This value was spread to the West, and the modern piano was born.
The modern music theory system was born.
Of course, music is only ancillary to the calculation of twelve equal temperaments, and it can also be applied to astronomy and many other fields.
After Xiao Shixuan explained in detail, Zhao Han finally understood that Eastern and Western music are the same, and Chinese music is not simply a pentatonic scale. The chime bells of the pre-Qin Dynasty used twelve rhythms, Huang Zhong, Ying Zhong, and Lin Zhong.
This name is probably related to the chime bells of the Pre-Qin Dynasty.
As for how important the Twelve Laws and Lus are, it can be seen from "Historical Records" that Sima Qian recorded the data of the Twelve Laws and Lus in detail, although there were some recording errors.
Books such as "The Rites of Zhou" and "The Book of Rites" also record the twelve laws in detail, but most people can't understand them at all, because they are all numbers related to the laws and regulations. Only people who are proficient in mathematics can truly read the "Book of Rites" thoroughly.
Zhao Han said to Li Xiangjun: "Draft the imperial edict and order the Qintianyuan Mathematics Museum to assist the Ministry of Rites in revising the regulations. The revised regulations were published in Datong Monthly. The errors in recording the regulations in "Historical Records" were also published
Corrected in "Datong Monthly"."
"According to the decree."
While Li Xiangjun was drafting the edict, she couldn't help but take a second look at Xiao Shixuan. She had studied music since she was a child, but unexpectedly she made a mistake and was corrected by a mathematician.
Zhao Han asked: "Did you verify Zhu Zaiyu's results during this period of time?"
Xiao Shixuan replied: "Reporting to Your Majesty, I not only verified it, but also formulated a new mathematical method. Zhu Zaiyu used a large abacus to force the root. The new method I used is temporarily named 'calculus'."
"Cough cough cough!"
Zhao Han choked and coughed when he heard this, and pretended to be calm: "Calculus?"
Xiao Shixuan said: "It is exactly calculus. Xunzi said that the smallest is the greatest, and the smallest is the greatest. Those who studied mathematics in later generations, their skills of accumulating small quantities and making small ones are derived from Xunzi's principle.
"
Zhao Han actually wanted to say, you are so awesome, you didn't even change your name.
Zhao Han asked: "How did you create calculus?"
Xiao Shixuan said: "This method benefited 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 calculus and integral calculus. The more research they do, the more they discover this
The two sets of methods are related. The day before yesterday, the twelve equal laws were verified, and the method used by He Chengtian, a scholar in the Southern and Northern Dynasties, to calculate the twelve laws was found in the "Shui Shu". He Chengtian's mathematical work "Legislative System" has been lost, but the "Sui Shu"
"But it recorded only a few words. 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 could only say that this group of mathematicians actually studied music, but to study music they had to read "Historical Records" and "Sui Shu", and then they were inspired to create calculus.
What is this all about?
Crossing majors is too much.
Zhao Han thought for a while and said: "Use the twelve equal temperaments and invent a musical instrument. You can play all the melodies by hitting the strings with buttons."
Xiao Shixuan was stunned and muttered: "I... can't."
"Forget it, I'll find someone else to do it." Zhao Han thought to himself, maybe you can't do it, I thought you could invent the piano.
