Dual Transmigration: American Prison, Surviving to a Fantasy Development Stage

In Yongguan County, Lin Feng returned to his room.

The bright moon shines through the window onto the ground, making it barely visible.

Lin Feng gazed at the sleeping Xue Yao.

Suddenly, I had some ideas.

After eating so much Western food, I'm actually getting hungry when I see Chinese food.

However, I decided to hold back for now.

The next day, early in the morning.

Lin Feng went to Xue Yao's upside-down jade bowl again.

I must say, Ru ware is truly beautiful.

When it comes to aesthetics, Emperor Huizong of Song is the best.

At that moment, the old woman chopping wood outside the woodshed looked on with envy.

Miss Xueyao is truly blessed.

This young master Lin is both rich and powerful.

The addiction is really strong.

Three poles in the sun.

Xueyao then dressed herself neatly and walked gracefully out of the room.

She changed into a slightly thicker autumn outfit, a light apricot-colored shirt paired with a moon-white pleated skirt, and her hair was neatly styled.

Her cheeks were slightly flushed, and a hint of languid charm lingered in her eyes.

Looking up, one could see Lin Feng wearing only a thin training uniform, lying on a rattan rocking chair in the center of the courtyard, resting with his eyes closed and basking in the sun.

Xueyao walked over lightly, stopped beside him, and reached out to massage his shoulder.

She massaged his shoulders with just the right amount of pressure.

"Young master," her voice was soft and concerned, "the weather is getting colder, you are dressed so lightly, be careful not to catch a cold."

"Shall I go and get you an outer garment to wear?"

Lin Feng didn't even open his eyes, comfortably enjoying her massage, and lazily said, "No need, your young master has plenty of energy, this little bit of coolness is nothing to me."

But you, with your weak constitution, should wear more layers if you don't need to.

"Yes, young master, I understand." Xueyao felt a warmth in her heart and replied softly.

His hands continued moving.

After pressing for a moment, Xueyao hesitated, wanting to say something but finding it difficult to speak.

Her beautiful eyes would occasionally steal glances at Lin Feng's peaceful profile.

"Just say what you have to say. Why are you beating around the bush?"

Although Lin Feng had his eyes closed, he seemed to know her thoughts perfectly, and spoke softly.

Xueyao blushed slightly when he pointed it out. After hesitating for a moment, she mustered up her courage and asked again in a soft voice, "Young master, you said yesterday that you could teach me how to solve the difficult problem of 'rotating the palace and changing the key'."

I wonder, do you still remember?

After she finished speaking, she looked at Lin Feng nervously, afraid that he would think she was being greedy or bothersome.

Upon hearing this, Lin Feng finally opened his eyes, turned his head to look at her, and said with a smile, "I remember. What, you want to learn now?"

"Um"

Xueyao nodded quickly, her beautiful eyes shining brightly with the purest thirst for knowledge.

"The difficulty of 'modulation' is a problem that has remained unsolved in music theory for thousands of years."

Throughout history, countless great musicians have racked their brains over this, yet they have never been able to find a perfect solution.

The twelve musical scales progress in stages, but their levels are not entirely equal. Like a rugged mountain path, it is difficult to perfectly connect the end with the beginning.

It disrupted that harmony and balance; the flaws are difficult to erase, which is truly regrettable.

Lin Feng sat up straight, cleared his throat, and said in a pretentious manner, "Solving this 'rotation and modulation' is both difficult and easy."

The reason why musicians throughout history have been unable to solve this problem is ultimately because they chose the wrong approach.

This is not their specialty.

"You chose the wrong direction?" Xueyao tilted her head, puzzled.

"Young master, musicians play their instruments and are well-versed in music theory; aren't they the most professional people? Why is this not acceptable?"

"What do musicians do? Musicians play music."

However, solving the fundamental rule problem of "modulation" is not a musical problem, but essentially a mathematical problem, a problem of calculation and measurement.

This is the kind of work that mathematicians, those who are good at arithmetic, should be doing.

Asking a musician to study this is like asking the best chef to improve a plow or harrow for farming; they might never figure it out in their entire life.

"A mathematician? An arithmetician?" Xueyao was even more confused, her long eyelashes fluttering. "Young master, the more I hear, the more confused I get."

The art of music, so ethereal and elegant, has nothing to do with tedious arithmetic and calculation.

In her preconceived notion, music is the flow of emotion and talent, the elegance and praise of nature, and is completely unrelated to the divination arts of burying oneself in calculations.

Lin Feng found her bewildered yet eager appearance quite adorable and laughed, "Talking is useless. Come inside, I'll write it down for you, and you'll understand."

"Yes, young master."

Xueyao immediately jumped up excitedly and almost impatiently ran to lead Lin Feng to the bedroom, her skirt fluttering, her eyes full of anticipation and curiosity.

During his time in Las Vegas, Lin Feng had already thoroughly understood what "modulation" was and the fundamental differences between ancient musical scales and modern music systems through the modern internet.

He wasn't a music major, but as long as the text was translated in a way that Xueyao could understand the principles, that would be fine.

Lin Feng did not intend to simply transplant the Western musical staff.

After all, there are no pianos here, no modern musical instrument system with fixed pitches, so blindly applying the rules might cause confusion.

He chose a more acceptable approach for Xueyao: the twelve-tone equal temperament invented by Zhu Zaiyu, a prince of the Ming Dynasty.

Lin Feng had previously researched the data and learned that in the 17th century, the key data of the twelve-tone equal temperament, "the square root of 2 to the power of 12", was brought to the West by missionaries via the Silk Road.

The musician Johann Sebastian Bach created the world's first piano based on the twelve-tone equal temperament invented by Zhu Zaiyu, the heir apparent of the Ming Dynasty.

The tuning of eight or nine out of ten musical instruments in the world is based on the twelve-tone equal temperament.

It is widely regarded in the West as the "standard tuning" and the "standard Western tuning".

Scholars from both China and abroad revere Zhu Zaiyu as a "saint of the Eastern Renaissance."

The twelve-tone equal temperament is not a single scientific research achievement, but rather involves ancient metrology, mathematics, and music acoustics in physics.

It has to be said that the Zhu family's genes are still very strong.

Upon entering the bedroom, Xueyao had already swiftly prepared the writing brush, ink, paper, and inkstone.

He spread out the finest Xuan paper, ground the ink himself, and looked like a well-behaved student listening attentively to instruction.

Lin Feng sat down behind his desk, picked up his brush, dipped it in ink, and then said, "What I'm going to teach you is called 'The Twelve-Temperature Balance'."

Once you understand this, theoretically all the problems with tone transitions and modulations will be easily solved.

"The twelve-tone equal temperament?"

Xueyao softly repeated the unfamiliar and peculiar word, her eyes fixed on Lin Feng with anticipation.

"Yes, it is also known as the 'twelfth degree law'."

As Lin Feng spoke, he drew a simple diagram on a piece of paper. "The core of it is to divide a complete octave into twelve semitones evenly."

These twelve semitones, the wavelength between each of them and the adjacent semitone can be understood as the distance between the high and low pitches of the sound.

Two semitones added together make a whole tone.

The method for determining the specific values ​​of these distances lies in mathematical square root calculations, especially the twelfth root…