阅读说明：本技术 一种京房六十律的最优音律产生方法 (Optimal tone rhythm generation method for sixty temperaments in Jing House ) 是由 陈根方 黄晓东 张建国 杨九华 林林 姜超迁 于 2021-01-05 设计创作，主要内容包括：本发明属于现代音乐工业领域,具体涉及一种京房六十律的最优音律产生方法,其具体通过输入模块输入起始律频率、小数位数,再利用计算模块算出相应的音律值,然后将其通过输出模块输出显示。本发明给出了京房六十律的最优音律构造方法,给出了京房六十律的分数式的音律计算方法。而传统的京房六十律的表示方法是人为确定的,它们的人为指定并没有达到最优效果。(The invention belongs to the field of modern music industry, and particularly relates to an optimal temperament generation method for the sixty temperament in Jing House. The invention provides an optimal tone rhythm construction method of the Jing House sixty temperament and a fractional tone rhythm calculation method of the Jing House sixty temperament. The traditional expression method of the sixty-law of Jing House is determined manually, and the manual designation of the expression method does not achieve the optimal effect.)

1. The optimal tone law generation method for the sixty-law in the Beijing House is characterized by comprising a generation system, wherein the generation system comprises an input module (1), a calculation module (2) and an output module (3), the calculation module (2) comprises a fractional tone law calculation unit (20) and an optimal fractional tone law value calculation unit (21), and the optimal tone law generation method comprises the following specific steps:

1) the frequency f given according to actual needs is input through an input module (1)₀Frequency f₀Inputting a musical rhythm decimal precision digit N required to be calculated as an initial rhythm;

2) obtaining a number sequence F represented by scores of the Kyoto room sixty law through a score temperament calculation unit (20): from the temperament value f₀Starting from the initial scale of (a), fifty-nine temperaments are generated in a chain, the value of each temperament being multiplied by the value of the preceding temperamentOrObtaining the values f of fifty-nine temperaments generated according to the requirement_iI is not less than 1 and not more than 59 in a numerical rangeWithin, the ratio of each temperament value to the temperament value of the initial temperament is a fractional expressionTo obtain the sequence F ═ F₀,f₁,Λ,f_i,Λf₅₉},0≤i≤59；

3) Obtaining an optimal N-bit decimal rhythm value sequence H to be calculated by an optimal decimal rhythm value calculating unit (21)^*: calculating a decimal value sequence G of N-bit precision digits of each temperament according to the fraction ratio of each temperament value of the sequence F to the initial temperament value₀＝f₀,g₁,g₂,Λ,g_i,Λ,g₅₉Each decimal scale value is an N-digit decimal number, and the decimal part after the N-digit decimal number is omitted, so that g is obtained_i≤f_i＜g_i+10^-NI is 0-59, giving sixty-to-N fractional pairs { (g)₀,g₀),(g₁,g₁+10^-N),(g₂,g₂+10^-N),Λ,(g_i,g_i+10^-N),Λ,(g₅₉,g₅₉+10^-N)}Taking out a decimal from each pair of decimal, the number sequence H ═ H composed of sixty temperaments is formed₀＝f₀,h₁,h₂,Λ,h_i,Λ,h₅₉},h_i＝g_i or g_i+10^-NThus, there is 2⁵⁹Several different number series H, the optimum decimal temperament value number series H^*Satisfies the following conditions:

4) the output module (3) outputs the optimal decimal temperament value sequence H^*。

2. The method for generating the optimal temperament of the kyo-house sixty temperament according to claim 1, wherein in the step 2), the score temperament calculation unit (20) obtains a number sequence F represented by the score of the kyo-house sixty temperament, and the fractional formula x is calculated first_iI is more than or equal to 0 and less than 59 according to the values f of the fifty-nine temperaments_iI is not less than 1 and not more than 59 in a numerical rangeRequirement of (1), the temperament value f_i＝f₀×x_iI is more than or equal to 1 and less than or equal to 59, and a fractional formula can be obtainedWhere the exponent i of the denominator varies from 0 to 59, the corresponding values of j are: [0,1,3,4,6,7,9,11,12,14,15,17,19,20,22,23,25,26,28,30,31,33,34,36,38,39,41,42,44,45,47,49,50,52,53,55,57,58,60,61,63,64,66,68,69,71,72,74,76,77,79,80,82,84,85,87,88,90,91,93]。

3. The method for producing the optimal temperament of the sixty temperament in Beijing house according to claim 1, wherein in the step 3), the optimal decimal temperament value sequence H^*Is 2⁵⁹In the rhythm array, the rhythm proportion and the phase generation proportion of two adjacent N-bit finite decimal placesOrThe closest temperament component, these 2⁵⁹Each rhythm number sequence is composed of sixty rhythms, and the optimal decimal sixty rhythms meet the following conditions:

4. the optimal tone rhythm generation method for the sixty temperament in kyo house according to claim 1, wherein the output module (3) is a display screen.

Technical Field

The invention belongs to the field of modern music industry, and particularly relates to an optimal tone rhythm generation method for sixty temperaments in Jing House.

Background

In the field of music art, the temperament is one of the main contents of music practice and music research, the five-degree phase temperament is a temperament system of the temperament, is often called as Pythagoras temperament in western countries, is called as the Tri-Fengyi temperament in ancient China, and is independently proposed by the Pythagoras school in the ancient Xia season and musicians in the Miqin season respectively, in the first 7 th century before the metric, the tube and Diche provide a temperament calculation method, namely the Tri-Fengyi law, and in the autumn and temperament of Lu's spring and the temperament of Lu' hundreds of years later, the temperament is increased to twelve-tone on the basis of the three-Fengyi, and the ideal of five-tone, six-tone and twelve-tone are also mutually used as the palace is attempted to be reached. Then, until the west Han, the law-learning Beijing House (first 77-37 years) finds that the Tri-Pai's loss method cannot return to the original law (yellow clock law) after the Law of birth for ten times (i.e. after the twelfth law), thereby causing a great obstacle to the ideal realization, so that the Beijing House has evolved the twelve laws to sixty laws according to the Tri-Pai's loss method proposed by pipe.

In "the hind han book law journal" of bright times in the north and south, the law number representation method of the sixty laws in the kyo house is recorded, the law number of each temperament consists of two parts, the first part is a number plus a unit, and the second part is a strong or weak description. The number range of the first part is from 'four inches, five minutes and five minutes' to 'nine inches', the minimum law is 'late hour' law, and the maximum law is 'yellow clock' law; for example, the law of 'transfer' is 'eight inches, six minutes, four strong points', 'Linyin' is 'eight inches, two minutes, one weak point', the units of the first part are 'inches', 'minutes' and 'minutes', here, one inch is equal to ten minutes, and one minute is equal to ten minutes. The strength or weakness of the second part is the mantissa part of the law number, and is expressed by expressions of "weak", "weak" or "weak", "strong", "semi-strong" and "strong" in terms of the size of the mantissa, respectively. "strong" means a little bit more, and "weak" means a little bit less.

In the times of the Jing House, the concept of 'rounding off' does not appear yet, so that the expression of infinite decimal numbers by 'strength' is a great innovation of ancient people in China, how to select the 'strength' of each temperament is optimal, and documents in China and China are not described in detail in ancient times and the modern times. For example, in "Lai Dian Zhi Ling Zhi" the law number of "Su Bing Xiao fen Si Feng Si Qiang", it means that it is calculated by "three Feng Yi" method to have a value greater than 8.64 cun and less than 8.65 inches is an infinite number between 8.64 and 8.65 inches, such that the infinite number may be expressed as "four times strong in eight inches, six times small, five times weak" or "strong" or "weak" to indicate better. The sixty Jing House laws totally have 60 laws, and each law has different 'strong/weak' selections to form 2⁵⁹A different "strong/weak" sequence, and then which sequence is optimal, is the problem that the present invention addresses.

Therefore, a method for calculating the tone rhythm is needed, which can conveniently calculate the strength of the tone rhythm, so as to solve the problem of optimal distribution of the strength of the tone rhythm.

Disclosure of Invention

In order to make up the defects of the prior art, the invention provides a technical scheme of an optimal tone rhythm generation method of the Kyoto room sixty.

The optimal tone law generation method of the Kyoto room sixty-law is characterized by comprising a generation system, wherein the generation system comprises an input module (1), a calculation module (2) and an output module (3), the calculation module (2) comprises a fractional tone law calculation unit (20) and an optimal fractional tone law value calculation unit (21), and the optimal tone law generation method comprises the following specific steps:

1) the frequency f given according to actual needs is input through an input module (1)₀Frequency f₀Inputting a musical rhythm decimal precision digit N required to be calculated as an initial rhythm;

2) obtaining a number sequence F represented by scores of the Kyoto room sixty law through a score temperament calculation unit (20): from the temperament value f₀Starting from the initial scale of (a), fifty-nine temperaments are generated in a chain, the value of each temperament being multiplied by the value of the preceding temperamentOrObtaining the values f of fifty-nine temperaments generated according to the requirement_iI is not less than 1 and not more than 59 in a numerical rangeWithin, the ratio of each temperament value to the temperament value of the initial temperament is a fractional expressionTo obtain the sequence F ═ F₀,f₁,Λ,f_i,Λf₅₉},0≤i≤59；

3) Obtaining an optimal N-bit decimal rhythm value sequence H to be calculated by an optimal decimal rhythm value calculating unit (21)^*: calculating a decimal value sequence G of N-bit precision digits of each temperament according to the fraction ratio of each temperament value of the sequence F to the initial temperament value₀＝f₀,g₁,g₂,Λ,g_i,Λ,g₅₉Each decimal scale value is an N-digit decimal number, and the decimal part after the N-digit decimal number is omitted, so that g is obtained_i≤f_i＜g_i+10^-NI is 0-59, giving sixty-to-N fractional pairs { (g)₀,g₀),(g₁,g₁+10^-N),(g₂,g₂+10^-N),Λ,(g_i,g_i+10^-N),Λ,(g₅₉,g₅₉+10^-N) Taking out a decimal from each pair of decimal numbers to form a number sequence H ═ H consisting of sixty temperaments₀＝f₀,h₁,h₂,Λ,h_i,Λ,h₅₉},h_i＝g_i or g_i+10^-NThus, there is 2⁵⁹Several different number series H, the optimum decimal temperament value number series H^*Satisfies the following conditions:

4) the output module (3) outputs the optimal decimal temperament value sequence H^*。

The optimal tone rhythm generation method of the Jing House sixty rhythm is characterized in that in the step 2), a number sequence F represented by scores of the Jing House sixty rhythm is obtained through a score tone rhythm calculation unit (20), and a score formula x is calculated firstly_iI is more than or equal to 0 and less than 59 according to the values f of the fifty-nine temperaments_iI is not less than 1 and not more than 59 in a numerical rangeRequirement of (1), the temperament value f_i＝f₀×x_iI is more than or equal to 1 and less than or equal to 59, and a fractional formula can be obtainedWhere the exponent i of the denominator varies from 0 to 59, the corresponding values of j are: [0,1,3,4,6,7,9,11,12,14,15,17,19,20,22,23,25,26,28,30,31,33,34,36,38,39,41,42,44,45,47,49,50,52,53,55,57,58,60,61,63,64,66,68,69,71,72,74,76,77,79,80,82,84,85,87,88,90,91,93]。

The optimal tone rhythm generation method of the Jing House sixty-law is characterized in that in the step 3), an optimal decimal tone rhythm value sequence H^*Is 2⁵⁹In the rhythm array, the rhythm proportion and the phase generation proportion of two adjacent N-bit finite decimal placesOrThe closest temperament component, these 2⁵⁹Each rhythm number sequence is composed of sixty rhythms, and the optimal decimal sixty rhythms meet the following conditions:

the optimal tone rhythm generation method for the sixty-law in Beijing House is characterized in that the output module (3) is a display screen.

Compared with the prior art, the invention has the following advantages:

the invention provides an optimal tone rhythm construction method of the Jing House sixty temperament and a fractional tone rhythm calculation method of the Jing House sixty temperament. The traditional expression method of the sixty-law of Jing House is determined manually, and the manual designation of the expression method does not achieve the optimal effect.

Drawings

FIG. 1 is a diagram of a rhythm structure of a five-degree phase rhythm generation method in the prior art;

FIG. 2 is a schematic diagram of the circuit relationship of the generating system of the present invention;

FIG. 3 is a diagram illustrating the number sequence structure of the temperament sequence of the present invention.

Detailed Description

The invention will be further explained with reference to the drawings.

FIG. 1 shows the Law numbers of the sixty Lays Law of Jing House (sorted by Law size).

As shown in fig. 2 and 3, an optimal temperament generation method for the sixty temperament in kyo house comprises a generation system, wherein the generation system comprises an input module (1), a calculation module (2) and an output module (3), the calculation module (2) comprises a fractional temperament calculation unit (20) and an optimal fractional temperament value calculation unit (21), and the method specifically comprises the following steps:

1) the frequency f artificially given according to actual needs is input through an input module (1)₀Frequency f₀Inputting N musical scale decimal precision digits needing to be calculated as an initial rule;

2) obtaining a number sequence F represented by scores of the Kyoto room sixty law through a score temperament calculation unit (20): from the temperament value f₀Starting from the initial scale of (a), fifty-nine temperaments are generated in a chain, the value of each temperament being multiplied by the value of the preceding temperamentOrObtaining the values f of fifty-nine temperaments generated according to the requirement_iI is not less than 1 and not more than 59 in a numerical rangeWithin, the ratio of each temperament value to the temperament value of the initial temperament is a fractional expressionTo obtain the sequence F ═ F₀,f₁,Λ,f_i,Λf₅₉},0≤i≤59；

3) By an optimum fractional temperament value calculation unit(21) Obtaining the optimal N-bit decimal temperament value sequence H to be calculated^*: calculating a decimal value sequence G of N-bit precision digits of each temperament according to the fraction ratio of each temperament value of the sequence F to the initial temperament value₀＝f₀,g₁,g₂,Λ,g_i,Λ,g₅₉Each decimal scale value is an N-digit decimal number, and the decimal part after the N-digit decimal number is omitted, so that g is obtained_i≤f_i＜g_i+10^-NI is 0-59, giving sixty-to-N fractional pairs { (g)₀,g₀),(g₁,g₁+10^-N),(g₂,g₂+10^-N),Λ,(g_i,g_i+10^-N),Λ,(g₅₉,g₅₉+10^-N) Taking out a decimal from each pair of decimal numbers to form a number sequence H ═ H consisting of sixty temperaments₀＝f₀,h₁,h₂,Λ,h_i,Λ,h₅₉},h_i＝g_i or g_i+10^-NThus, there is 2⁵⁹Several different number series H, the optimum decimal temperament value number series H^*Satisfies the following conditions:

4) the output module (3) is a display screen, and the output module (3) outputs the temperament sequence H^*。

The score scale calculation unit 20 obtains a score scale F of the sixty-law of kyoto house: first calculating the fractional formula x_iI is more than or equal to 0 and less than 59 according to the values f of the fifty-nine temperaments_iI is not less than 1 and not more than 59 in a numerical rangeRequirement of (1), the temperament value f_i＝f₀×x_iI is more than or equal to 1 and less than or equal to 59, and a fractional formula can be obtainedWhere the exponent i of the denominator varies from 0 to 59, the corresponding values of j are: [0,1,3,4,6,7,9,11,12,14,15,17,19,20,22,23,25,26,28,30,31,33,34,36,38,39,41,42,44,45,47,49,50,52,53,55,57,58,60,61,63,64,66,68,69,71,72,74,76,77,79,80,82,84,85,87,88,90,91,93]。

an optimum decimal scale value calculating unit (21) for calculating an optimum decimal scale value sequence H^*The optimum sequence H^*Is 2⁵⁹In the rhythm array, the rhythm proportion and the phase generation proportion of two adjacent N-bit finite decimal placesOrThe closest temperament component, these 2⁵⁹Each rhythm number sequence is composed of sixty rhythms, and sixty adjacent rhythms meet the following conditions:

the invention provides an optimal tone rhythm construction method of the Jing House sixty temperament and a fractional tone rhythm calculation method of the Jing House sixty temperament. The traditional expression method of the sixty-law of Jing House is determined manually, and the manual designation of the expression method does not achieve the optimal effect.

The output module 3 in the invention is a display screen, the invention can be applied to a PC end or a mobile phone end, the computer end is taken as an example, the input module 1 is a keyboard, the calculation module 2 is completed by equipment such as a computer, the output module 3 is a computer display screen, when in operation, the algorithm of the invention is used on the computer, and then any heart rate frequency f is input by the keyboard₀Inputting N decimal digits, then calculating the corresponding digit array by the calculating module 2, and displaying the corresponding digit array on a computer display screen.