Question 2: What does the law of twelve averages mean? To introduce the set of twelve average laws, we should first introduce what twelve average laws are. To introduce the "law of twelve averages", we should first introduce what is "law".
"Rhythm", that is, "intonation", refers to a system composed of a group of notes with different heights deliberately chosen by people in order to standardize music, and the relationship between these notes. For example, we all know do, re, mi, fa, so, la and si, and these seven sounds form a set of temperament. The study of temperament is called "temperament". That is to say, it is a science to study why seven tones (such as do, re, MI, etc.) are chosen as norms, how these tones are regarded as "scales" and what is the relationship between them.
For any nation, as long as it has rich musical experience and wants to accumulate knowledge about music, it will encounter legal problems sooner or later. Surprisingly, different nationalities in ancient and modern times, although their favorite music forms can be described as colorful and colorful, do not learn from each other, but the basic concepts of law are strikingly similar. This may be caused by the super-cultural and super-regional charm of music itself.
(BTW: do, re, mi, fa, so, la, si, these seemingly meaningless words are actually the first syllables of some Latin chants that were very popular in western churches in the Middle Ages. These hymns are the source of modern western music. )
Everyone who has studied physics in senior high school knows that the essence of sound is the vibration of air. The vibration of air propagates in the form of waves, which is called sound waves. All waves (including sound waves, electromagnetic waves, etc. ) has three essential characteristics: frequency/wavelength, amplitude and phase. For sound, the frequency of sound waves (generally not considering the wavelength in acoustics) determines how "high" the sound is, and the amplitude of sound waves determines how "loud" the sound is, while the human ear is not sensitive to the phase of sound waves, so the phase of sound waves is generally not considered in the study of music.
Of course, the law does not consider how loud the sound is, so the focus of legal research is the frequency of sound waves. Generally speaking, the frequency range of sound waves that the human ear can hear is between 20HZ (20 vibrations per second) and 20000HZ (20,000 vibrations per second). The higher the frequency of sound waves (more vibrations per second), the higher the sound. The frequency below 20HZ is called infrasound, and the frequency above 20000HZ is called ultrasonic.
(BTW: The minimum frequency difference that the human ear can distinguish is 2HZ. For example, people can hear the difference between 100HZ and 102HZ, but they can't hear the difference between 100HZ and1kloc-0/Hz. In addition, the resolution of the human ear in the high-pitched region drops rapidly for the following reasons. )
In particular, the human ear is exponentially sensitive to the frequency of sound waves. For example, the sounds of 100 Hz, 200 Hz, 300 Hz, 400 Hz ..................................................................................................................................... 100 Hz, 200 Hz, 400 Hz, 800 Hz ................. These sounds make people feel "equidistant" (I don't know why). In other words, if the frequencies of a certain group of sounds are arranged in strict accordance with the law of × 1, ×2, ×4, × 8 ..., that is, they sound like an "arithmetic pitch sequence".
(For example, there are 16 tones, and their frequencies are 1 10HZ 1 time, 2 times, 3 times ... 16 times respectively. You can listen to it. Do you feel that the higher the sound, the closer the distance is? In musical terms, these sounds are all "harmonics" of 1 10HZ, that is, the frequency of these sound waves is an integer multiple of a certain frequency. This ogg file can be auditioned with Storm Video///StormCodec software. )
Because the human ear is sensitive to the exponent of frequency, the relationship of "x 2 means equal distance" mentioned above is the most basic relationship in music. In musical terms, ×2 is an octave. Do among do, re and mi mentioned above has an octave relationship with the high-pitched do after so, la and si. In other words, the treble do is twice as frequent as do. Similarly, the relationship between re and treble re is also an octave, and the frequency of treble re is > >
Question 3: What is the meaning of the twelve average laws in the foundation of music theory? How to understand it? The average rule of 12 is produced to adapt to the manufacture, tuning and modulation of keyboard instruments. The law method is to divide a sound within a pure octave into 12 semitones.
Except pure 1, 4, 5 and 8 degrees, other factors are not pure enough. 12 averaging law is not very natural in the combination of front and back tones and simultaneous combination, but it has great advantages in the production and performance of musical instruments because of its convenient modulation. Therefore, in the past hundred years, it has been widely adopted by countries all over the world.
12 average law is used for keyboard instruments, which is convenient for tuning.
Question 4: What does the law of twelve averages mean? The twelve-average law, also known as the "twelve-range law", is a universal law in the world that divides a group of sounds (octaves) into twelve semitones, and the ratio of vibration numbers between two adjacent laws is completely equal. The law of twelve averages refers to dividing octaves into twelve equal parts according to frequency, and each equal part is called a semitone, that is, two degrees. Sophomore is two equal parts. There are some amazing coincidences in dividing an octave into 12 equal parts. The frequency ratio of the two tones in their pure fifth interval (that is, the seventh power of 2/12) is very close to 1.5, and the human ear can't hear the difference between the fifth interval of the "five-degree mutual law" and the "twelve-degree average law". The law of twelve averages is widely used in symphony orchestras and keyboard instruments, and now the piano is tuned according to the law of twelve averages.
Question 5: What is the temperament meaning of the law of twelve averages? To introduce the set of twelve average laws, we should first introduce what twelve average laws are. To introduce the "law of twelve averages", we should first introduce what is "law".
"Rhythm", that is, "intonation", refers to a system composed of a group of notes with different heights deliberately chosen by people in order to standardize music, and the relationship between these notes. For example, we all know do, re, mi, fa, so, la and si, and these seven sounds form a set of temperament. The study of temperament is called "temperament". That is to say, it is a science to study why seven tones (such as do, re, MI, etc.) are chosen as norms, how these tones are regarded as "scales" and what is the relationship between them.
For any nation, as long as it has rich musical experience and wants to accumulate knowledge about music, it will encounter legal problems sooner or later. Surprisingly, different nationalities in ancient and modern times, although their favorite music forms can be described as colorful and colorful, do not learn from each other, but the basic concepts of law are strikingly similar. This may be caused by the super-cultural and super-regional charm of music itself.
(BTW: do, re, mi, fa, so, la, si, these seemingly meaningless words are actually the first syllables of some Latin chants that were very popular in western churches in the Middle Ages. These hymns are the source of modern western music. )
Everyone who has studied physics in senior high school knows that the essence of sound is the vibration of air. The vibration of air propagates in the form of waves, which is called sound waves. All waves (including sound waves, electromagnetic waves, etc. ) has three essential characteristics: frequency/wavelength, amplitude and phase. For sound, the frequency of sound waves (generally not considering the wavelength in acoustics) determines how "high" the sound is, and the amplitude of sound waves determines how "loud" the sound is, while the human ear is not sensitive to the phase of sound waves, so the phase of sound waves is generally not considered in the study of music.
Of course, the law does not consider how loud the sound is, so the focus of legal research is the frequency of sound waves. Generally speaking, the frequency range of sound waves that the human ear can hear is between 20HZ (20 vibrations per second) and 20000HZ (20,000 vibrations per second). The higher the frequency of sound waves (more vibrations per second), the higher the sound. The frequency below 20HZ is called infrasound, and the frequency above 20000HZ is called ultrasonic.
(BTW: The minimum frequency difference that the human ear can distinguish is 2HZ. For example, people can hear the difference between 100HZ and 102HZ, but they can't hear the difference between 100HZ and1kloc-0/Hz. In addition, the resolution of the human ear in the high-pitched region drops rapidly for the following reasons. )
In particular, the human ear is exponentially sensitive to the frequency of sound waves. For example, the sounds of 100 Hz, 200 Hz, 300 Hz, 400 Hz ..................................................................................................................................... 100 Hz, 200 Hz, 400 Hz, 800 Hz ................. These sounds make people feel "equidistant" (I don't know why). In other words, if the frequencies of a certain group of sounds are arranged in strict accordance with the law of × 1, ×2, ×4, × 8 ..., that is, they sound like an "arithmetic pitch sequence".
(For example, there are 16 tones, and their frequencies are 1 10HZ 1 time, 2 times, 3 times ... 16 times respectively. You can listen to it. Do you feel that the higher the sound, the closer the distance is? In musical terms, these sounds are all "harmonics" of 1 10HZ, that is, the frequency of these sound waves is an integer multiple of a certain frequency. This ogg file can be auditioned with Storm Video///StormCodec software. )
Because the human ear is sensitive to the exponent of frequency, the relationship of "x 2 means equal distance" mentioned above is the most basic relationship in music. In musical terms, ×2 is an octave. Do among do, re and mi mentioned above has an octave relationship with the high-pitched do after so, la and si. In other words, the treble do is twice as frequent as do. Similarly, there is an octave relationship between re and treble re, and the frequency of treble re is twice that of re. ......& gt& gt
Question 6: What is the law of twelve averages? Also known as the "12-step method". It is a universal law in the world to divide a group of tones (octaves) into twelve semitones, and the ratio of vibration numbers between two adjacent rules is completely equal. The law of twelve averages refers to dividing octaves into twelve equal parts according to frequency, and each equal part is called a semitone, that is, two degrees. Sophomore is two equal parts. There are some amazing coincidences in dividing an octave into 12 equal parts. The frequency ratio of the two tones in their pure fifth interval (that is, the seventh power of 2/12) is very close to 1.5, and the human ear can't hear the difference between the fifth interval of the "five-degree mutual law" and the "twelve-degree average law". The law of twelve averages is widely used in symphony orchestras and keyboard instruments, and now the piano is tuned according to the law of twelve averages.