Musical instrument, tuner, equalizer and method of musical instrument scale generation

Abstract

The present disclosure is related to a reinvention of various music generators and corresponding tuning instruments thereof. The present disclosure proposes a completely novel temperament, called Taiping Temperament in the present disclosure. Based on the Taiping Temperament, the present disclosure can not only reinvent a frequency position of a note name indication of the tuning instrument including music notation software that can produce sound, but also redesign and invent a note name frequency of various musical instruments and a physical position of a note name indication mark or a position of a note name fret panel, or a position of a note name vent hole. The musical instrument made based on the Taiping Temperament can produce the fifth, sixth, seventh, eighth, ninth and tenth frequency relationships in the double frequency interval, which can correspond to a vibration frequency relationship of the pressure waves of six internal organs and blood vessels, thereby enhancing the effect of music in stirring the blood vessels and harmonizing emotions.

Description

[Technical Field]

[0001] This invention relates to a reinvention of various music generators (and corresponding tuning instruments), specifically redesigning the note names and frequencies of various musical instruments, and the physical positions of their corresponding note name indicators (or the positions of the note name fret panels, or the positions of the note name vents), so that the note name frequency sequence of their musical sounds conforms to the mathematical ratio relationship of the vibration frequencies of the blood pressure waves of the six viscera in the Yellow Emperor's Inner Classic, thereby enhancing the effect of harmonizing the body, mind, and spirit. The music generator referred to in this invention includes musical instruments and equalizers. Musical instruments include: purely mechanical musical instruments, electric musical instruments, digital software analog musical instruments, etc., such as guitars, electric basses, electronic keyboards, digital staff notation software and its APP applications, etc. [Previous Technology]

[0002] The frequencies of most musical instruments today are aligned with the piano scale. The names of the seven main white keys on a piano, in ascending order of pitch frequency, are C 4, D 4, E 4, F 4, G 4, A 4, and B 4. The pitch frequencies (Hz) of these seven notes are respectively labeled C 4, D 4, E 4, F 4, G 4, A 4, and B 4.

[0003] The notes C 4, D 4, E 4, F 4, G 4, A 4, B 4, whose ascending octave (i.e., double frequency) notes are named C 5, D 5, E 5, F 5, G 5, A 5, B 5 respectively. The notes C 4, D 4, E 4, F 4, G 4, A 4, B 4, whose descending octave (i.e., half frequency) notes are named C 3, D 3, E 3, F 3, G 3, A 3, B 3 respectively.

[0004] Let j ϵ Z be integers, and note names C j, D j, E j, F j, G j, A j, B j. Their corresponding pitch frequencies (Hz) can be labeled sequentially as C j, D j, E j, F j, G j, A j, B j. Remember the doubling relationship of the ascending octave, which is the mathematical equation C j + 1 = 2C j. The note names C 0, D 0, E 0, F 0, G 0, A 0, B 0 can be abbreviated as C, D, E, F, G, A, B. The pitch frequencies (Hz) corresponding to the note names C, D, E, F, G, A, B can also be simplified and labeled sequentially as C, D, E, F, G, A, B. In other words, C, D, E, F, G, A, B can represent the note names C 0, D 0, E 0, F 0, G 0, A 0, B 0 respectively, or the pitches C 0, D 0, E 0, F 0, G 0, A 0, B 0 in Hertz (Hz). Furthermore, the sharp of C is represented by C#, the flat of D by Db, the sharp of D by D#, the flat of E by Eb, the sharp of F by F#, the flat of G by Gb, the sharp of G by G#, the flat of A by Ab, the sharp of A by A#, and the flat of B by Bb. In other words, in addition to the C, D, E, F, G, A, B sequence, there are ten other sequence notes: C#, Db, D#, Eb, F#, Gb, G#, Ab, A#, Bb.

[0005] Let jϵ Z be integers, and the mathematical relationship between the pitch frequencies C j, D j, E j, F j, G j, A j, B j between the note names C j, D j, E j, F j, G j, A j, B j, if regulated by the twelve equal temperament, is the current standard piano scale relationship, and the international standard pitch is A 4 = 440 (Hz). Because the twelve-tone equal temperament ensures that C# = Db < D# = Eb < F# = Gb < G# = Ab < A# = Bb, which is exactly five semitones, the piano uses five black keys between the seven consecutive white keys, i.e., between the note names Cj, Dj, Ej, Fj, Gj, Aj, and Bj. The five black keys can be represented by their note names C#j, D#j, F#j, G#j, and A#j respectively, and their pitch frequency values ​​can be represented by C#j, D#j, F#j, G#j, and A#j respectively.

[0006] For a few traditional musical instruments, such as the guqin or the xiao (qinxiao) which is related to the guqin, although the names of their notes can be Cj, Dj, Ej, Fj, Gj, Aj, Bj, the mathematical relationship of their pitch frequencies Cj, Dj, Ej, Fj, Gj, Aj, Bj is changed to be regulated by the Pythagorean theorem.

[0007] The twelve-tone equal temperament uses the twelfth root of 2, a fixed constant value, as the common multiple of a geometric series to generate a musical scale sequence. Although the pitch of the musical scale sequence generated by the twelve-tone equal temperament is similar to that of the three-part subtraction temperament, the inherent rational number (ratio of two integers) relationship of the pitch frequency ratio (Hz) between any two notes Cj, Dj, Ej, Fj, Gj, Aj, Bj in the three-part subtraction temperament cannot be completely preserved. Therefore, the twelve-tone equal temperament disrupts the harmonious relationship between any two notes in the three-part subtraction temperament, that is, the rational number (ratio of two integers) relationship. [Summary of the Invention]

[0008] Some embodiments of the present invention provide a method for generating musical instrument scales, comprising the following steps: obtaining the frequency value corresponding to one of a plurality of note names; generating a plurality of pitch frequency values ​​corresponding to the plurality of note names using a scale generation function; and ensuring that the ratios between the pitch frequency values ​​include frequency relationships of 5, 6, 7, 8, 9, and 10, so that the ratios between the pitch frequency values ​​correspond to the vibration frequency ratios of the blood pressure waves of the six internal organs in the human body.

[0009] Some other embodiments of the present invention provide a musical instrument, which is prepared by the musical instrument scale generation method described above.

[0010] Further embodiments of the present invention provide a tuner. The tuner includes a scale database and a processor. The scale database is configured to store a plurality of pitch frequency values ​​corresponding to a plurality of note names, wherein the pitch frequency values ​​are calculated by a scale generation function. The processor is signal-connected to the scale database and includes a sound receiving module, a sound conversion module, a frequency comparison module, and a display module. The sound receiving module is configured to receive sound signals. The sound conversion module is signal-connected to the sound receiving module and configured to convert the sound signals into corresponding frequency values. The frequency comparison module is signal-connected to the sound conversion module and configured to compare the frequency values ​​of the sound signals with the pitch frequency values ​​stored in the scale database, and obtain a frequency difference value between the sound signal and one of the plurality of note names. The display module is signal-connected to the frequency comparison module and configured to display the note name, the pitch frequency value of the note name, and the frequency difference value.

[0011] Further embodiments of the present invention provide an equalizer. The equalizer includes an audio receiver, a display, a control panel, a processor, and an audio output device. The audio receiver is configured to receive audio signals. The display is signal-connected to the audio receiver and configured to display a plurality of adjustment information. The control panel is signal-connected to the audio receiver and the display, configured to provide an adjustment interface, and includes a plurality of adjustment nodes. The adjustment interface provides a user with the ability to set the pitch frequency value corresponding to a note name and the gain of the pitch frequency value corresponding to the note name, and generates setting instructions. Notably, the adjustment nodes are calculated and set based on a scale generation function. The processor is electrically connected to the control panel and the display, configured to receive setting instructions from the control panel, and adjust the audio signal according to the parameters of the setting instructions to generate adjusted audio signals. The audio output device is electrically connected to the processor and configured to output the adjusted audio signals.

Implementation Method

[0012] The spirit of this disclosure will be clearly explained below with illustrations and detailed description. Anyone skilled in the art can make changes and modifications based on the technology taught in this disclosure after understanding the embodiments of this disclosure, without departing from the spirit and scope of this disclosure.

[0013] The terms used in this disclosure are used only to describe specific embodiments and are not intended to limit the disclosure. Singular forms such as "a", "this", "this", "this" and "the", as used in this disclosure, also include plural forms.

[0014] The terms "coupled" or "signal connection" used herein may refer to two or more modules or devices making direct physical contact with each other, or making indirect physical contact with each other, or to two or more modules or devices operating or acting on each other. The terms "includes," "including," and "has" used herein are open-ended terms, meaning that they include but are not limited to.

[0015] The tuning system of the present invention will propose a scale generation function, the high frequency Hz value generated by the function can be represented by a natural number (N). In this way, it can be guaranteed that the Hz ratio between any two notes Cj, Dj, Ej, Fj, Gj, Aj, Bj completely maintains the rational number relationship.

[0016] This invention aims to achieve a harmonious resonance between the frequency of the musical instrument's scale and the blood pressure waves of the six internal organs and the twelve meridians as described in the Yellow Emperor's Inner Classic, elevating music to a new level of therapeutic effect. This allows individuals in a sub-healthy state (as described in Traditional Chinese Medicine as Yin deficiency and Yang excess) to regulate the blood pressure waves of the six internal organs and achieve a harmonious and healthy state (as described in Traditional Chinese Medicine as Yin-Yang balance) by playing the instrument of this invention. Furthermore, it allows patients who have taken prescribed medications to have the drug molecules more effectively delivered to the affected areas via appropriate blood pressure wave distribution, thereby accelerating the recovery process.

[0017] According to the great work of Professor Wang Weigong, a leading scientist, entitled "The Symphony of Qi" (ISBN13 / 9789867975508), this book clearly demonstrates that the distribution of blood in the body adopts a frequency-division multiplexed harmonic control system. That is to say, the vibration frequency of the blood pressure wave of the liver meridian mentioned in the Yellow Emperor's Inner Classic is the first harmonic (fp), the kidney meridian is the second harmonic (2 fp), the spleen meridian is the third harmonic (3 fp), and the lung meridian is the fourth harmonic (4 fp). The above four blood pressure wave vibration frequencies are collectively referred to as Yin meridians. In addition, Yang meridians include the six Fu organs: stomach, gallbladder, bladder, large intestine, triple burner, and small intestine. Their blood pressure wave vibration frequencies are, in order, the fifth, sixth, seventh, eighth, ninth, and tenth harmonics (5 fp, 6 fp, 7 fp, 8 fp, 9 fp, and 10 fp). If a person's pulse rate is measured to be 72 beats per minute (60 seconds) while at rest, then the vibration frequency of the blood pressure wave in the liver meridian of this person is fp = 72 / 60 = 1.2 (Hz).

[0018] The scale generation function proposed in this invention has a base scale C that can be specified as an integer multiple of fp to correspond to the harmonic relationship of the liver meridian frequency. At the same time, among the seven sequence notes Cj, Dj, Ej, Fj, Gj, Aj, Bj, plus a descending lower octave Bj-1 note, for a total of eight sequence notes, the fifth, sixth, seventh, eighth, ninth, and tenth harmonic relationships should be specifically present to correspond to the harmonic relationship of the vibration frequency of the blood pressure wave of the six viscera.

[0019] In order to produce the fifth, sixth, seventh, eighth, ninth and tenth harmonic relationships, this invention will propose a brand-new tuning system (scale generation function), which will serve as a guideline for the design of scale sequences in music generators (and their corresponding tuning instruments), creating a new blue ocean for the musical instrument manufacturing industry and music composition, so as to achieve the effect of music responding to blood circulation and harmonizing the body.

[0020] Let fg represent the audio gate width (bandwidth) in Hz, and set the reference frequency as fb = 2fg. Let I represent the note name, i.e., I ϵ {C, D, E, F, G, A, B}. Additionally, nC, nD, nE, nF, nG, nA, and nB represent the audio increments (Hz values) of the note names C, D, E, F, G, A, and B relative to the fb reference frequency, respectively. In other words, the pitch frequencies of C, D, E, F, G, A, and B are 2fg+nC, 2fg+nD, 2fg+nE, 2fg+nF, 2fg+nG, 2fg+nA, and 2fg+nB, respectively. The pitch of the j-th higher octave of C can be expressed using the formula 2j(2fg+nC), where j is an integer. Similarly, the pitch of the j-th lower octave of C can be expressed using the formula 2-j(2fg+nC). Furthermore, the pitches of the j-th octaves of D, E, F, G, A, and B can be expressed using a similar formula. Therefore, we can denote the pitch frequency of the j-th octave of C, D, E, F, G, A, B as Cj, Dj, Ej, Fj, Gj, Aj, Bj, respectively, where j ϵ Z.

[0021] Let the one-dimensional array n = (nC, nD, nE, nF, nG, nA, nB), in other words, the array elements n ∈ {nC, nD, nE, nF, nG, nA, nB}. Let Δ = fg / 4, and set n = (nC, nD, nE, nF, nG, nA, nB) = (nC, nC+Δ, nC+2Δ, nC+2.5Δ, nC+4Δ, nC+5.5Δ, nC+7Δ). Further setting nC = 0, then n = (nC, nD, nE, nF, nG, nA, nB) = (0, Δ, 2Δ, 2.5Δ, 4Δ, 5.5Δ, 7Δ), which means that the pitch frequencies of C, D, E, F, G, A, B are 2fg, 2fg+Δ, 2fg+2Δ, 2fg+2.5Δ, 2fg+4Δ, 2fg+5.5Δ, and 2fg+7Δ, respectively.

[0022] Remember Δ = fg / 4, then the pitch frequencies of C, D, E, F, G, A, and B can be expressed as 8Δ, 9Δ, 10Δ, 10.5Δ, 12Δ, 13.5Δ, and 15Δ, respectively. That is, (Cj, Dj, Ej, Fj, Gj, Aj, Bj) = (8Δ×2j, 9Δ×2j, 10Δ×2j, 10.5Δ×2j, 12Δ×2j, 13.5Δ×2j, 15Δ×2j). Therefore, the ratio Cj:Dj:Ej = 8:9:10, and the ratio Dj:Fj:Gj:Aj:Bj = 9:10.5:12:13.5:15 = 6:7:8:9:10. Since half (0.5) of Bj is Bj-1, the ratio Bj-1:Dj:Fj:Gj:Aj:Bj = 5:6:7:8:9:10. Therefore, the six notes Bj-1, Dj, Fj, Gj, Aj, and Bj can be used to specifically realize the ratio relationships of the fifth, sixth, seventh, eighth, ninth, and tenth harmonics, which should correspond to the ratio relationships of the vibration frequencies of the blood pressure waves in the six internal organs of the human body.

[0023] The above scale design makes (C j, D j, E j, F j, G j, A j, B j) = (8Δ×2 j, 9Δ×2 j, 10Δ×2 j, 10.5Δ×2 j, 12Δ×2 j, 13.5Δ×2 j, 15Δ×2 j). Therefore, the frequency ratio of the seven notes in the scale C:D:E:F:G:A:B = 8:9:10:10.5:12:13.5:15 can be simplified to C:D:E:F:G:A:B = 1:(9 / 8):(5 / 4):(21 / 16):(3 / 2):(27 / 16):(15 / 8), which is different from the frequency ratio of the just intonation scale 1:(9 / 8):(5 / 4):(4 / 3):(3 / 2):(5 / 3):(15 / 8). Furthermore, although the Indian musical scale has twenty-two notes in the second harmonic interval, it does not have the C:F = 1:(21 / 16) frequency ratio proposed in this invention. Therefore, the Indian musical scale still cannot correspond to the frequency ratio of the vibration of blood pressure waves in the six internal organs of the human body, and cannot specifically realize the ratio of the fifth, sixth, seventh, eighth, ninth, and tenth harmonics in the second harmonic octave interval.

[0024] Based on the preceding explanation, it can be seen that when the frequency ratio of the musical scale C:D:E:F:G:A:B = 1:(9 / 8):(5 / 4):(21 / 16):(3 / 2):(27 / 16):(15 / 8), then the audio frequency ratio Bj-1:Dj:Fj:Gj:Aj:Bj = 5:6:7:8:9:10, specifically showing the fifth, sixth, seventh, eighth, ninth, and tenth multiple frequency relationships, which should correspond to the vibration frequency relationship of the blood pressure waves of the six internal organs. Such a musical scale frequency ratio relationship can also complete the ten harmonic tremolo sequence, which should correspond to the frequency ratio relationship of the four yin meridians and the six yang meridians. Next, it will be explained how the ten harmonic tremolo sequence is generated.

[0025] Note that B 2: D 3: F 3: G 3: A 3: B 3= 5:6:7:8:9:10, D 3= 2D 2, G 3= 2G 2= 4G 1= 8G 0, so G j: G j+1: D j+2: G j+2:B j+2: D j+3: F j+3: G j+3: A j+3: B j+3= 2 jG 0: 2 jG 1: 2 jD 2: 2 jG 2: 2 jB 2: 2 jD 3: 2 jF 3: 2 jG 3: 2 jA 3: 2 jB 3=G 0: G 1: D 2: G 2: B 2: D 3: F 3: G 3: A 3: B 3= G 3 / 8 : G 3 / 4 : D 3 / 2 : G 3 / 2 : B 2 : D 3 : F 3 : G 3 : A 3 : B 3 = G 3 / 8 : G 3 / 4 : D 3 / 2 : G 3 / 2 : 5 : 6 : 7 : 8 : 9 : 10 = 8 / 8 : 8 / 4 : 6 / 2 : 8 / 2 : 5 : 6 : 7 : 8 : 9 : 10 = 1:2:3:4:5:6:7:8:9:10. It can be seen that a complete sequence of ten harmonic tremolos can be achieved within four (j, j+1, j+2, j+3) octaves, which corresponds to the frequency ratio relationship of the four yin and six yang meridians. Therefore, this invention proposes the following six-meridian ten-tone scale.

[0026] Six-Pulse Ten-Pure Law: Let the two-dimensional scale array generation function H 7(C) = I j=2 jC m I, where I is used to label the note names, i.e. I ϵ {C, D, E, F, G, A, B}, jϵ Z, j is used to label the j-th octave, and C is the pitch frequency value of the note name C 0. Let the one-dimensional array m = ( m C, m D, m E, m F, m G, m A, m B) = (1, 9 / 8, 5 / 4, 21 / 16, 3 / 2, 27 / 16, 15 / 8), in other words, the array elements m I ϵ { m C, m D, m E, m F, m G, m A, m B}. Above, H 7 is the function for generating the Six-Pulse Ten-Temperature scale, with pitch frequency ratios Cj: Dj: Ej: Fj: Gj: Aj: Bj = 1:(9 / 8):(5 / 4):(21 / 16):(3 / 2):(27 / 16):(15 / 8). Based on the previous explanation, it can be seen that the scale generated by H 7 can complete the ten harmonic tremolo sequences within four octaves, which corresponds to the frequency ratio relationship between the four Yin pulses and the six Yang pulses. Therefore, in this invention, H 7 is also used to represent the Six-Pulse Ten-Temperature scale.

[0027] Although the Six Meridians Ten Perfections can fully correspond to the frequency ratio of the four Yin meridians and six Yang meridians in the human body and can be used to guide the tuning of the white keys of a piano, it is insufficient to handle the tuning of the black keys. In order to ensure that existing piano playing techniques and scores do not need to be changed, this invention advocates retaining the original existence of the black keys of the piano and not removing them.

[0028] Therefore, it is necessary to further propose a scale generation function to guide the design of scale frequencies for instruments such as the black keys of a piano. A piano has five black keys within an octave (i.e., a double frequency). Their pitch names can be represented by C#j, D#j, F#j, G#j, and A#j, respectively, and their pitch frequency values ​​can be represented by C#j, D#j, F#j, G#j, and A#j. To determine the frequency of scale frequencies for instruments such as the black keys of a piano, this invention proposes a five-tone pure tuning system to generate the frequency values ​​of the piano black key pitches C#j, D#j, F#j, G#j, and A#j.

[0029] Five-Element Just intonation: Let the two-dimensional scale generation function H +5(C, m #) = ij= mim #C j= mim #2 jC, where i is used to label the note name, i.e., i ∈ {C#, D#, F#, G#, A#}, j ∈ Z, and j is used to label the j-th octave. m # is used to represent the gain of the pitch frequency value (C j) of the note name C j, limited to 1 < m # < 9 / 8 = 1.125. Let the one-dimensional array m = ( m C#, m D#, m F#, m G#, m A#), in other words, the array element mi ∈ { m C#, m D#, m F#, m G#, m A#}. Above, H +5 is the five-element just intonation scale generation function. Therefore, in this invention, H +5 is also used to represent the five-element just intonation.

[0030] The Five Elements Pure Laws are further divided into Yin Standard, Yang Standard, and Middle Standard, totaling three standards. The Yin Standard of the Five Elements Pure Laws is also known as the Law of Earth, and is marked as H +50. The Yang Standard of the Five Elements Pure Laws is also known as the Law of Heaven, and is marked as H +51. The Middle Standard of the Five Elements Pure Laws is also known as the Law of Discipline, and is marked as H +52.

[0031] Law of the Land: Let the two-dimensional scale array generating function H +50(C, m #) = ij= mim #C j= mim #2 jC, where i is used to label the note names, i.e., i ∈ {C#, D#, F#, G#, A#}, j ∈ Z, and j is used to label the j-th octave. m # is used to represent the gain of the pitch frequency value (C j) of the note name C j, and is limited to 1 < m # < 9 / 8 = 1.125. Let the one-dimensional array m = ( m C#, m D#, m F#, m G#, m A#) = (1, 9 / 8, 21 / 16, 3 / 2, 27 / 16), in other words, the array elements mi ∈ { m C#, m D#, m F#, m G#, m A#}. In the above, H +50 is the function for generating the Fadi scale. Therefore, in this invention, H +50 represents the Fadi scale, and its pitch frequency ratio C#j: D#j: F#j: G#j: A#j = 1: 9 / 8: 21 / 16: 3 / 2: 27 / 16 = Cj: Dj: Fj: Gj: Aj.

[0032] Law of Heaven: Let the two-dimensional scale array generating function H +51(C, m #)= ij= mim #C j= mim #2 jC, where i is used to label the note names, i.e., i ϵ {C#, D#, F#, G#, A#}, jϵ Z, j is used to label the j-th octave. m # is used to represent the gain of the pitch frequency value (C j) of the note name C j, limited to 1 < m # < 9 / 8 = 1.125. Let the one-dimensional array m= ( m C#, m D#, m F#, m G#, m A#) = (1, 9 / 8, 4 / 3, 3 / 2, 5 / 3), in other words, the array elements mi ϵ { m C#, m D#, m F#, m G#, m A#}. In the above, H +51 is the function for generating the musical scale of the Fatian Law. Therefore, in this invention, H +51 is used to represent the Fatian Law. Its pitch frequency ratio C#j: D#j: F#j: G#j: A#j = 1: 9 / 8: 4 / 3: 3 / 2: 5 / 3 = Gj-1: Aj-1: Cj: Dj: Ej.

[0033] Law Discipline: Let the two-dimensional scale array generating function H +52(C, m #) = ij = mim #C j = mim #2 jC, where i is used to label the note names, i.e., i ∈ {C#, D#, F#, G#, A#}, j ∈ Z, and j is used to label the j-th octave. m # is used to represent the gain of the pitch frequency value (C j) of the note name C j, and is limited to 1 < m # < 9 / 8 = 1.125. Let the one-dimensional array m = ( m C#, m D#, m F#, m G#, m A#) = (1, 9 / 8, 127 / 96, 3 / 2, 161 / 96), in other words, the array elements mi ∈ { m C#, m D#, m F#, m G#, m A#}. In the above, H + 52 is the function for generating the legal discipline scale. Therefore, in this invention, H + 52 is used to represent the legal discipline, and its pitch frequency ratio C#j: D#j: F#j: G#j: A#j = 1: 9 / 8: 127 / 96: 3 / 2: 161 / 96. Wherein, mF# of the legal discipline is the arithmetic mean of mF# of the Legal Earth Law and mF# of the Legal Heaven Law. mA# of the legal discipline is the arithmetic mean of mA# of the Legal Earth Law and mA# of the Legal Heaven Law.

[0034] To integrate the Law of Earth and the Law of Heaven, this invention further proposes the Law of Tao. Law of Tao: Let the two-dimensional scale array generation function H +7(C, m #) = ij = mim #C j = mim #2 jC, where i is used to label the note name, i ∈ {C#, D#, F#, Gb, G#, Ab, A#}, j ∈ Z, and j is used to label the j-th octave. m # is used to represent the gain of the pitch frequency value (Cj) of the note name Cj, limited to 1 < m # < 9 / 8 = 1.125. Let the one-dimensional array m = (m C#, m D#, m F#, m Gb, m G#, m Ab, m A#) = (1, 9 / 8, 21 / 16, 4 / 3, 3 / 2, 5 / 3, 27 / 16), in other words, the array elements mi ϵ {m C#, m D#, m F#, m Gb, m G#, m Ab, m A#}. Above, H +7 is the function for generating the musical scale of the Fadao Law, therefore, in this invention, H +7 represents the Fadao Law, and its pitch frequency ratio C#j: D#j: F#j: Gbj: G#j: Abj: A#j = 1: 9 / 8: 21 / 16: 4 / 3: 3 / 2: 5 / 3: 27 / 16.

[0035] Taiping Law: Based on the above explanation, the legal system proposed in this invention is collectively referred to as the Taiping Law, represented by H. That is to say, the Taiping Law H = {H 7, H +7, H +50, H +51, H +52}.

[0036] The Six-Pulse Ten-Tone H 7 will be used to guide the design of the frequency (Hz) values ​​of the note names of various musical instruments, and the redesign of the physical positions of the corresponding note name indicator marks (or the positions of the note name fret panels, or the positions of the note name vent holes). H 7 will also be used to guide the design of the frequency positions of the pitch indicator marks of tuning instruments.

[0037] The two-dimensional scale array generated by H 7(16) is shown in Table 1. The two-dimensional scale arrays generated by H 7(48) and H 7(80) are shown in Table 2 and Table 3. The C j tone of the H 7(48) scale generation function proposed in this invention can be specified as an integer multiple of fp=1.2Hz to correspond to the harmonic relationship of the liver meridian frequency fp.

[0038] Tables 1, 2 and 3 Table 1, H7(16) Table 2, H7(48) Table 3, H7(80) I j I j I j 0 1[[ID=二十]] 2 3 4 5 0 1 2 3 4 5 0 1 2 3 4 5 0 C 16 32 64 128 256 512 C 48 96 192 384 768 1536 C 80 160 320 640 1280 2560 80 D 18 36 72 144 288 576 D 54 108 216 432 864 1728 D 90 180 360 720 1440 2880 90 E 20 40 80 160 320 640 E 60 120 240 480 960 1920 E 100 200 400 800 1600 3200 100 F 21 42 84 168 336 672 F 63 126 252 504 1008 2016 F 105 210 420 840 1680 3360 105 G 24 48 96 192 384 768 G 72 144 288 576 1152 2304 G 120 240 480 960 1920 3840 120 A 27 54 108 216 432 864 A 81 162 324 648 1296 2592 A 135 270 540 1080 2160 4320 135 B 30 60 120 240 480 960 B 90 180 360 720 1440 2880 B 150 300 600 1200 2400 4800 150

[0039] Example 1: A six-hole xiao (vertical bamboo flute). The frequency values ​​of the fundamental tone, the first hole tone, the second hole tone, the third hole tone, the fourth hole tone, the fifth hole tone, and the sixth hole tone can be referenced from H 7 (16). The sequence of pitches (C 3, D 3, E 3, F 3, G 3, A 3, B 3) = (128, 144, 160, 168, 192, 216, 240) are taken, and the physical position of the sound-producing air hole is determined based on the above frequency values.

[0040] Example 2: Combining the Six-Pulse Ten-Perfect Law H 7 with the Law-Discipline Law H +52 (or the Law-Earth Law H +50, or the Law-Heaven Law H +51) to produce a newly invented electronic keyboard. The parameter C can be fixedly set to C=48, or wirelessly transmitted from the heart rate fp obtained in real-time by a digital wristband, for example, C = 40 fp. The parameter m # can be fixedly set to m #=17 / 16, or wirelessly transmitted from the blood pressure P value obtained in real-time by a digital wristband, for example, m #= min[1.12499, max(1.09, / 10)]. The function min[a,b] will select the smaller number between a and b. The function max(c,d) will select the larger number between c and d.

[0041] Example 3: Combining the Six-Pulse Ten-Tone H 7 and the Dharma-Taoist H +7 to produce a newly invented electronic keyboard. This newly invented electronic keyboard has seven white keys and seven black keys within a double frequency range, that is, a total of 14 keys within an octave. These 14 keys are arranged in staggered order of pitch. The pitch frequency of the white keys is determined by the Six-Pulse Ten-Tone H 7, and the pitch frequency of the black keys is determined by the Dharma-Taoist H +7.

[0042] Example 4: Tuner, whose display interface is designed like that of the prior art tuner, except that its pitch is recalculated using the Taiping scale H. It has knobs or buttons for setting values ​​C, m#, and tuning system options H7, H+7, H+50, H+51, H+52.

[0043] Example 5: An equalizer, whose adjustment node is recalculated and set according to the Taiping Law H. It has a knob or button for setting the C value and m# value. The parameter C can be fixedly set to C=48, or set wirelessly by the heart rate fp obtained in real-time from the digital wristband, for example, C = 40 fp. The parameter m# can be fixedly set to m#=17 / 16, or set wirelessly by the blood pressure P value obtained in real-time from the digital wristband, for example, m#= min[1.12499, max(1.09, / 10)]. The function min[a,b] will take the smaller number between a and b. The function max(c,d) will take the larger number between c and d.

[0044] Please refer to Figure 1, which is a flowchart of a musical instrument scale generation method according to some embodiments of the present invention. Some embodiments of the present invention provide a musical instrument scale generation method 1, including the following steps. Step S11: Obtain the frequency value corresponding to a note name. Step S13: Generate a plurality of pitch frequency values ​​corresponding to a plurality of note names using a scale generation function.

[0045] In some embodiments, the scale generation function includes a first scale generation function (H7), namely the Six-Pulse Ten-Tone Pitch, and the Six-Pulse Ten-Tone Pitch enables the ratios between the generated pitch frequency values ​​to include frequency relationships of 5, 6, 7, 8, 9, and 10 times. In this embodiment, the Six-Pulse Ten-Tone Pitch enables the ratios between the generated pitch frequency values ​​to include frequency relationships of 1, 2, 3, and 4 times. Other technical features of the Six-Pulse Ten-Tone Pitch have been described above and will not be repeated here.

[0046] In some embodiments, the first scale generation function further includes a first subscale generation function (H +50), a second subscale generation function (H +51), a third subscale generation function (H +52), or a fourth subscale generation function (H +7). The first subscale generation function (H +50) is a tertiary scale and can make the ratios between the generated pitch frequency values ​​include 1, 9 / 8, 21 / 16, 3 / 2, and 27 / 16 frequency relationships. The second subscale generation function (H +51) is a celestial scale and can make the ratios between the generated pitch frequency values ​​include 1, 9 / 8, 4 / 3, 3 / 2, and 5 / 3 frequency relationships. The third subscale generation function (H +52) is a disciplinary scale and can make the ratios between the generated pitch frequency values ​​include 1, 9 / 8, 127 / 96, 3 / 2, and 161 / 96 frequency relationships. The fourth subtone scale generation function (H +7) follows the Law of the Way and the Law of the Law, and can generate pitch frequency values ​​with ratios of 1, 9 / 8, 21 / 16, 4 / 3, 3 / 2, 5 / 3, and 27 / 16. Other technical features of the Law of the Earth, the Law of Heaven, the Law of Discipline, and the Law of the Way have been described above and will not be repeated here.

[0047] Step S15, make the ratio between pitch frequency values ​​include frequency relationships of 5 times, 6 times, 7 times, 8 times, 9 times and 10 times, so that the ratio between pitch frequency values ​​is consistent with the vibration frequency ratio of the pressure wave of the six internal organs and blood vessels of the human body.

[0048] Some other embodiments of the present invention provide a musical instrument, which is prepared by the musical instrument scale generation method 1 described above (as shown in Figure 1).

[0049] Please refer to Figure 2, which is a functional block diagram of a tuner according to some embodiments of the present invention. Further embodiments of the present invention provide a tuner 2. The tuner 2 includes a scale database 21 and a processor 22. The scale database 21 is configured to store a plurality of pitch frequency values ​​corresponding to a plurality of note names, wherein the pitch frequency values ​​are calculated by a scale generation function. The processor 22 is signal-connected to the scale database 21 and includes a sound receiving module 222, a sound conversion module 224, a frequency comparison module 226, and a display module 228. The sound receiving module 222 is configured to receive sound signals. The sound conversion module 224 is signal-connected to the sound receiving module 222 and configured to convert the sound signals into corresponding frequency values. The frequency comparison module 226 is signal-connected to the sound conversion module 224 and configured to compare the frequency values ​​of the sound signals with the pitch frequency values ​​stored in the scale database 21, and obtain a frequency difference value between the frequency values ​​and one of the note names. The display module 228 is connected to the frequency comparison module 226 and configured to display the note name, the pitch frequency value of the note name, and the frequency difference value.

[0050] Furthermore, the scale generation function in this embodiment is basically the same as the scale generation function in the aforementioned musical instrument scale generation method 1 (as shown in Figure 1). Therefore, the technical features of the scale generation function will not be described again here.

[0051] Please refer to Figure 3, which is a functional block diagram of an equalizer according to some embodiments of the present invention. Further embodiments of the present invention provide an equalizer 3. The equalizer 3 includes an audio receiver 31, a display 32, a control panel 33, a processor 34, and an audio output device 35. The audio receiver 31 is configured to receive audio signals. The display 32 is signal-connected to the audio receiver 31 and configured to display a plurality of adjustment information. The control panel 33 is signal-connected to the audio receiver 31 and the display 32, configured to provide an adjustment interface, and includes a plurality of adjustment nodes. The adjustment interface provides the user with the ability to set the pitch frequency value corresponding to the note name and the gain amount of the pitch frequency value corresponding to the note name, and the control panel 33 generates setting instructions. Notably, the adjustment nodes are calculated and set based on a scale generation function. The processor 34 is electrically connected to the control panel 33 and the display 32, configured to receive setting instructions from the control panel 33, and adjust the audio signal according to the parameters of the setting instructions to generate adjusted audio signals. Audio output device 35 is electrically connected to processor 34 and configured to output adjustment audio. In some embodiments, processor 34 provides adjustment audio to display 32 so that display 32 displays adjustment audio, such as a spectrogram.

[0052] Furthermore, the scale generation function in this embodiment is basically the same as the scale generation function in the aforementioned musical instrument scale generation method 1 (as shown in Figure 1). Therefore, the technical features of the scale generation function will not be described again here.

[0053] Although the present invention has been disclosed above by way of example, it is not intended to limit the present invention. Anyone skilled in the art may make various modifications and alterations without departing from the spirit and scope of the present invention. Therefore, the scope of protection of the present invention shall be determined by the appended claims. [Simplified Explanation of the Diagram]

[0054] To make this disclosure and other objects, features, advantages and embodiments more apparent and understandable, the accompanying drawings are described as follows: Figure 1 is a flowchart of a method for generating musical instrument scales according to some embodiments of the present invention; Figure 2 is a functional block diagram of a tuner according to some embodiments of the present invention; and Figure 3 is a functional block diagram of an equalizer according to some embodiments of the present invention. [Biomaterial Storage]

[0056] Domestic storage information (please note in order of storage institution, date, and number): None. International storage information (please note in order of storage country, institution, date, and number): None.

Claims

1. A method for generating musical scales, comprising: Obtain a pitch frequency value corresponding to one of a plurality of note names; generate a plurality of pitch frequency values ​​corresponding to these note names using a scale generation function; and make a ratio between the plurality of pitch frequency values ​​including a frequency relationship of 5 times, 6 times, 7 times, 8 times, 9 times, and 10 times, so that the ratio between the plurality of pitch frequency values ​​matches a vibration frequency ratio of a blood pressure wave of the six internal organs of the human body, wherein the scale generation function includes a first scale generation function (H7), and the scale generated by the first scale generation function (H7) can complete a sequence of ten harmonic tremolos within four octaves, which corresponds to the frequency ratio relationship of the four yin meridians and the six yang meridians.

2. The method as described in claim 1, wherein the first pitch generation function (H7) is further capable of making the ratio between the generated plurality of pitch frequency values ​​include a 1x, 2x, 3x, and 4x frequency relationship.

3. The method as described in claim 2, wherein the scale generation function includes a first subscale generation function (H+50), and the first subscale generation function (H+50) enables the ratio between the generated plurality of pitch frequency values ​​to include frequency relationships of 1, 9 / 8, 21 / 16, 3 / 2, and 27 / 16.

4. The method as described in claim 2, wherein the scale generation function includes a second subscale generation function (H+51), and the second subscale generation function (H+51) enables the ratio between the generated plurality of pitch frequency values ​​to include a frequency relationship of 1x, 9 / 8x, 4 / 3x, 3 / 2x, and 5 / 3x.

5. The method as described in claim 2, wherein the scale generation function includes a third subscale generation function (H+52), and the third subscale generation function (H+52) enables the ratio between the generated plurality of pitch frequency values ​​to include a frequency relationship of 1x, 9 / 8x, 127 / 96x, 3 / 2x, and 161 / 96x.

6. The method as described in claim 2, wherein the scale generation function includes a fourth subscale generation function (H+7), and the fourth subscale generation function (H+7) enables the ratio between the generated plurality of pitch frequency values ​​to include frequency relationships of 1x, 9 / 8x, 21 / 16x, 4 / 3x, 3 / 2x, 5 / 3x, and 27 / 16x.

7. An instrument made by means of a method for producing musical scales as described in any one of claims 1 to 6.

8. A tuner, comprising: A scale database is configured to store multiple pitch frequency values ​​corresponding to multiple note names, wherein these pitch frequency values ​​are calculated by a scale generation function, wherein the scale generation function includes a first scale generation function (H7), and the scale generated by the first scale generation function (H7) can complete a sequence of ten octave harmonic mordents within four octaves, which corresponds to the frequency ratio relationship of the four yin meridians and the six yang meridians; And a processor, signal-connected to the scale database, and including: a sound receiving module configured to receive a sound signal; A sound conversion module, signal-connected to the sound receiving module, configured to convert the sound signal into a corresponding frequency value; a frequency comparison module, signal-connected to the sound conversion module, configured to compare the frequency value of the sound signal with the pitch frequency values ​​stored in the scale database, and obtain a frequency difference value with one of the note names; and a display module, signal-connected to the frequency comparison module, configured to display one of the note names, the pitch frequency value corresponding to each of the note names, and the frequency difference value.

9. The tuner as claimed in claim 8, wherein a ratio between the pitch frequency values ​​includes a frequency relationship of 5 times, 6 times, 7 times, 8 times, 9 times, and 10 times.

10. An equalizer, comprising: An audio receiver configured to receive an audio signal; A display, signal-connected to the audio receiver, is configured to display a plurality of adjustment information; A control panel, signal-connected to the audio receiver and the display, is configured to provide an adjustment interface including a plurality of adjustment nodes. The adjustment interface allows a user to set a pitch frequency value corresponding to a note name and a gain value corresponding to that pitch frequency value, and generates a setting command. The adjustment nodes are calculated and set based on a scale generation function, which includes a first scale generation function (H7). The scale generated by the first scale generation function (H7) can complete a sequence of ten octave harmonics within four octaves, corresponding to the frequency ratio of four yin and six yang frequencies. A processor, electrically connected to the control panel and the display, is configured to receive the setting command from the control panel and adjust the audio signal according to the parameters of the setting command to generate an adjustment audio signal. And an audio output device electrically connected to the processor, configured to output the adjusted audio.

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