But in fact... this is just derived from the further development of basic physical science, which has developed limited potential, and basic physics has actually not made major breakthroughs for a long time, so such rapid development will always slow down temporarily.

Especially what Li Wenyin said makes people wonder.

The relationship between intervals is irrational number!

Pythagoras wolf sound!

......

"Can you say it simpler?!"

Jiang Han was full of interest.

"What is the specific aspect of the relationship between music and mathematics?"

In regular music, the intervals are unreasonable!

Pythagoras wolf sound?!

These few sentences have also aroused the interest of many netizens!

Many people know about Pythagoras.

Great mathematician and philosopher.

For example, the golden section and the Pythagorean theorem were summed up by him.

He thinks everything is counted!

Although we know that music is a regular and harmonious sound, and sound is the waves that vibrate by matter.

...But I still feel very confused!

Just as netizens scratched their heads, Li Wenyin spoke.

"Speak simple!"

Li Wenyin smiled.

"For example, when music is heard, it should be harmonious and beautiful in people's ears, and what is beautiful?"

“It’s very simple!”

Li Wenyin picked up a white board in the house and drew a wavy line on it.

"In mathematical expression, that is... the frequency between waves shows a multiple relationship!"

"As we all know, sound is a form of wave presentation. The higher the frequency of the wave, the higher the tone!"

【Good guy, I actually took math class here!】

【It's over, I'm already sleepy when I hear this!】

【The expression of mathematics major is very simple!】

【Mathematics? Why do I feel like physics?】

[Mathematics and physics are not separated, don't care about these details...]

Listening to Li Wenyin's explanation, netizens started to complain on the barrage.

It seems that they have forgotten the reason why they watched the show for a brief moment.

No, it seems that I just want to find fault...

......

However, Li Wenyin's words also opened a new door for netizens!

Harmonious sound, frequency multiple relationship between sound waves!

"For example, we find a basic sound, A! that is, the frequency of la sound, 440HZ!"

"What is harmony in multiple relationships? It's very simple!"

Li Wenyin said.

"The 880HZ frequency sound is twice as related to 440, and this sound is the octave of A pitch, and the octave will be very, very harmonious!"

Li Wenyin's words opened their eyes!

【It turns out that the frequency X2 is the octave sound!】

【Let's see!】

【There are so many notes between them, how do you calculate it?】

【Silly, just equal parts!】

[Equivalent division? It is unlikely to think about it. The relationship between five tones, seven tones, twelve semitone octaves, seems to be unable to solve the problem of equal division.]

【curious......】

【Curious 1...】

Just then, Li Wenyin also explained.

"How did it do without Hertz in ancient times, it was actually very simple!"

"Same thickness, to change the length!"

Li Wenyin drew on the whiteboard and raised an example.

"For example, a string of one meter, its low octave note is two meters long! And a high octave is half a meter!"

"By the same, we get a set of octaves la, multiple relationship expressions, which can be twice, four times, half, and quarter, and the sounds of this group are all la."

"But it is difficult to make more beautiful music with such a note, so based on the relationship between multiples just now, we can re-derive it. In the relationship between 440 Hz... changing to three as multiples, we have another set of notes!"

"And under such a three-fold deduction, if one octave is exceeded, you only need to multiply it by two or divide by two to get another sound within the same octave."

"Comparing with the A sound just now, this relationship is also very harmonious. Compared with the 220, 440, 880 Hz of the A sound, the sound of this group of multiple relationships has become 330, 660, 1320! We found that the relationship between the two groups of sounds is two-thirds of the relationship! And this sound is the mi sound! That is, E, which shows a pure fifth degree with the A sound, which is the so-called fifth degree of mutual generation!"

This is how the second sound actually appears!

Netizens were shocked.

[Damn it! Five degrees of mutual generation?! I seem to think this has something to do with our Chinese music!]

[It seems that it is true! Does this fifth degree of mutual generation have anything to do with the pentactic scale?!]

In the minds of netizens, the pentagonal scale of Chinese style music can easily be thought of.

But for these netizens who don’t understand at all, they can only scratch their heads and watch Li Wenyin pretend to be B here.

......

"Since it's also a multiple, we sound like it's pretty good too!"

Li Wenyin smiled and began to explain it in an easy-to-understand manner.

"The sound difference between the strings and strings also show fifth degrees, second string A, first string E!"

"And we multiplied the Hertz number in the second group by three, and after changing the isotopic sound again, we found that the relationship with the previous group became three quarters! Then, after looking at it, will we continue to deduce, and will we get countless sounds? So..."

Li Wenyin wrote a row of Hertz sounds derived mathematically!

"According to the deduction of the five-degree mutual generation, the pure fifth degree of la, the pure fifth degree of mi, the pure fifth degree of mi, the pure fifth degree of do, the pure fifth degree of so, and the pure fifth degree of so!"

"At this point, five sounds within one octave came out, do, ra, and that is, the five-tone style Gongshang Jiao Zhengyu in the Chinese nation!!"

【Damn it!!】

【Damn it!!】

[So that's how the pentactic scale of our Chinese country comes from!]

【NB my brother! I can’t even play music if I don’t understand mathematics?!】

Netizens were shocked.

It also seems to have begun to understand something.

For example... Why does the five-tone style of the Chinese nation feel very harmonious no matter how it goes?

It turns out that they are born together in the fifth degree!!

"But if you continue to deduce, you can also deduce the remaining sounds!"

Li Wenyin smiled and continued.

"This is why, Chinese folk music has twelve semitones, but because of the harmony of the five degrees of mutual generation, our people prefer to use the pentagonal scale!"

"But in fact, we can continue to deduce!"

Speaking of this, Li Wenyin paused.

"When we deduced the twelve different sounds, and when we arrived at the thirteenth group, we found that the thirteenth group was almost the same as the sounds of the first group, and the flesh-eared ears could hardly be heard at all!"

The first group!

110,220,440,880!

However, the numbers in the thirteenth group are 112,223,446,892!
Chapter completed!