Piano Tuning 12 Equal Temperament, What is 12 Equal Temperament?

There are three kinds of laws: the law of twelve equals, the law of five degrees of symbiosis, and the law of purity. The piano uses the 12 equal temperament. The 12 equal temperament is to divide the octave into 12 equal parts, with a difference of 100 cents between each semitone.

An octave is 1200 cents. Tuning starts with a set of standard tone small characters, a cycle of four or five degrees, 12 13 tones in an octave, and then aligns or continues the cycle according to the octave. ‍

12 law of average. As the name suggests, the sound of a range is divided into twelve equal tones, each half degree is the span in turn, if the tuning master is a beginner, 12 equal rhythm is a difficult point, first you need to listen to the beat, and then the degree of tuning law debugging, first tune the standard tone, 440hzla.

Then go up to adjust the fourth degree lare, when adjusting the re, you need to adjust to no beat tone, and then turn up 2 cents (note: the cents are artificially divided, and the difference between the cents between each half degree is 100 cents) 2 tones are divided into 1 beat, and generally the sound of one beat is shaken once per second, that is, there is a Wang, Wang, Wang's voice, once per second.

There is another way to distinguish the jitter, which is the method of jitter identification, which is generally adjusted to 3-4 jitter for moderation, which means that there is no sound of Wang under Wang 3-4, and it is in tune. The two methods are best dialectical to each other. Tune lare, tune reso, the same method, so tone up 2 cents, and then dance sodo, do tone up 2 cents, which means tune whom.

Who is 2 cents higher, then, dofa fifth, then fa rai la fourth, then la rae re, then re, then so, then do, then do, then faxi, then ximi. This is the 12-average rule.

The fourth degree averages one beat per second, and the fifth degree is slightly slower than the fourth degree. Cooperate with the 36th test (the 3rd beat is gradually accelerated).

Two beats in three seconds, one beat in two seconds, one beat in one second should be high-key, and most of them are positive shots.

The twelfth equal temperament is that the octave interval is divided into twelve equal parts in proportion to the wavelength, and each equal part is called a semitone (minor second). A major second is divided into two equal parts and is called a whole tone. Dividing an octave into 12 equal parts has some surprising coincidences.

This is because the wavelength ratio of the two tones of its pure fifth interval (i.e. 1 2 to the 7 to the 12th power) is about, which is very close to 2 3, approx. The twelve equal temperaments are widely used in symphony orchestras and keyboard instruments, and the piano is based on the twelve equal temperaments.

Rhythm:

The rhythm refers to the rhythm of **, the palace tune, etc. "Zhuangzi Xu Wu Ghost": "The drum palace moves, the drum horns move, and the rhythm is the same.

Hanshu Wudi Jizan": "Consonant rhythm, poetry and music." "Generally refers to music,**.

Song Sushi's "Zhu Shouchang Liang Wu Confession and Praise" said: "All sentient beings, there is no way. It is in rhyme, harmonizing with the rhythm of sounds.

that all men may sing and be amazed. The second and second episodes of "Dream of Red Mansions": "This play is a set of 'North Point Lips', sonorous and frustrating, and the rhythm is needless to say.

The law of the sound and rhyme of words.

The 12 equal temperament, also known as the "12 equal rhythms", is a common system in the world in which a group of tones (octaves) is divided into 12 semitone intervals of the local split, and the ratio of the vibrations between the two adjacent rhythms is exactly equal. The twelfth equal temperament refers to the fact that the octave interval (octave) is divided into twelve equal parts proportional to frequency, and each equal part is called a semitone minor second.

A major second degree is divided into two equal parts. Dividing an octave into 12 equal parts has some surprising coincidences. The frequency ratio of the two tones of its pure fifth interval (i.e., the 7th and 12th power of 2) is so close to that the human ear is basically inaudible to the difference between the fifths of the "fifths" and the "twelve equals".

The 12 equal temperament is widely used in symphony orchestras and keyboard instruments, and the piano today is based on the 12 equal temperament.

Piano tuning can only be learned in 12 equal degrees, but if you want to become a professional tuning lawyer, these are far from enough, 12 equal temperaments are the average octave divided into 12 parts, each half degree is a span according to the model of the middle of the time, each semitone is 100 cents apart. The law of 12 equals was invented by Zhu Zaiyu'。The twelve equal temperaments are mostly used in keyboard instruments such as hand lute, piano, dulcimer, etc., in the piano, the two adjacent keys form a semitone, the semitone is the smallest pitch distance in the twelve equal temperament, there are 12 semitones within the octave, because the semitones of the twelve equal temperament are the same, so there is an equal tone.

According to the natural law of an orchestral instrument, a complete interval is not equally divided, but slightly spaced. The 12 equal temperament is to divide a complete interval into 12 equal parts, and both the harpsichord and the modern piano are based on the 12 equal temperament. This is one of the reasons why piano and orchestral sonatas are slightly different in harmony, and it is also one of the reasons why piano and orchestral sonatas are difficult to write and play.

For example, on a piano, a semitone is the black key, while an orchestral instrument has not one, but at least two, depending on whether the harmonic relationship is harmonious or not.

If you were to ask if the piano has anything to do with the equal temperament, the answer would be yes. Because the piano uses the equal temperament tone.

The 12 equal temperament is a system in which a group of tones (octaves) is divided into 12 semitones, and the ratio of the vibrations between the two adjacent rhythms is exactly equal, also known as the "12th equal rhythm". The keyboard of the piano is set up according to this rhythm, and each group has twelve keys, and the intervals of the two adjacent keys are semitones.

It can only be said that the twelve equal temperaments are the basis of the modern piano.

Piano tuning needs to be divided every time, and in the process of dividing the rhythm, we must grasp three sets of beat frequency rules, which are all fourths and fifths; Fifth, small.

3. The law of the junior year; Big.

For the rules of the sixth, fourth, and third degrees, the interval comparison can be used to test the division of the law. How to divide the piano, the method of dividing the law: the piano adopts the twelve equal law, that is, the octave is divided into 12 equal parts, and each half degree is the span in turn, if it is a beginner, the 12 average law is a difficult point, first to listen to the beat, and then the degree of tuning the law debugging, and then go up to the fourth degree la re, you need to tune up to 2 cents after the no beat, and the 2 tones are divided into 1 beat, that is, there is a whiny sound, once per second.

There is also a way to distinguish, generally adjusted to 3-4 shake for moderate, that is, there is no sound of Wang under 3-4, and the two methods are best dialectical to each other.