Song of Pi, one of the Hatsune Miku Trilogy, was composed by daniwell, a user of VOCALOID 2, and made with pi characters as lyrics. This song gives full play to Hatsune Miku's advantages as a virtual electronic singer, and uses Hatsune Miku to continuously read out the digits 10239 after the decimal point (lyrics 10240) for 68 minutes and 25 seconds.
Although the melody of the whole song has not changed much, the lyrics are not repeated because π is an infinite acyclic decimal. This song contains individuality in its plainness, which makes it stand out among many Hatsune Miku songs.
And having mathematical charm is also a major feature of this song (anime "Angel Beat! There has also been a plot of reciting pi to beat the opponent, and the charm of mathematics can be seen. Many listeners complained that the song was too long. In fact, the author also released a shorter 2000 version.
Extended data:
Pi is the ratio of the circumference to the diameter of a circle, which is generally expressed by the Greek letter π and is a universal mathematical constant in mathematics and physics. π is also equal to the ratio of the square of the area and radius of a circle, which is the key value to accurately calculate the geometric shapes such as the circumference of a circle, the area of a circle and the volume of a ball. In the analysis, π can be strictly defined as the smallest positive real number x satisfying sinx=0.
Pi is expressed by the Greek letter π (pronounced pài), which is a constant (approximately equal to 3. 14 1592654), representing the ratio of circumference to diameter.
It is an irrational number, that is, an infinite cycle decimal. In daily life, pi is usually expressed as 3. 14, which is used for approximate calculation. The fractional part 3. 14 1592654 is enough for general calculation. Even if engineers or physicists want to make more accurate calculations, they only need to take the values to a few hundred decimal places at best.
1965, the British mathematician john wallis published a mathematical monograph, in which he deduced a formula and found that pi is equal to the product of infinite fractions. 20 15 scientists at the university of rochester found a formula with the same pi in the quantum mechanical calculation of hydrogen atomic energy level.
On March 4th, 20 19, Google announced that pi has now reached 3 1.4 trillion digits after the decimal point.
Baidu Encyclopedia-The Song of Pi