CN112767903B - Optimal rhythm generation method for Beijing atrio sixty rhythm - Google Patents

Optimal rhythm generation method for Beijing atrio sixty rhythm Download PDF

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CN112767903B
CN112767903B CN202110009903.6A CN202110009903A CN112767903B CN 112767903 B CN112767903 B CN 112767903B CN 202110009903 A CN202110009903 A CN 202110009903A CN 112767903 B CN112767903 B CN 112767903B
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rhythm
rhythms
optimal
sixty
decimal
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CN112767903A (en
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陈根方
黄晓东
张建国
杨九华
林林
姜超迁
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Zhejiang Conservatory Of Music
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Zhejiang Conservatory Of Music
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    • G—PHYSICS
    • G10—MUSICAL INSTRUMENTS; ACOUSTICS
    • G10H—ELECTROPHONIC MUSICAL INSTRUMENTS; INSTRUMENTS IN WHICH THE TONES ARE GENERATED BY ELECTROMECHANICAL MEANS OR ELECTRONIC GENERATORS, OR IN WHICH THE TONES ARE SYNTHESISED FROM A DATA STORE
    • G10H1/00—Details of electrophonic musical instruments
    • G10H1/0008—Associated control or indicating means
    • G10H1/0025—Automatic or semi-automatic music composition, e.g. producing random music, applying rules from music theory or modifying a musical piece
    • G—PHYSICS
    • G10—MUSICAL INSTRUMENTS; ACOUSTICS
    • G10H—ELECTROPHONIC MUSICAL INSTRUMENTS; INSTRUMENTS IN WHICH THE TONES ARE GENERATED BY ELECTROMECHANICAL MEANS OR ELECTRONIC GENERATORS, OR IN WHICH THE TONES ARE SYNTHESISED FROM A DATA STORE
    • G10H2210/00—Aspects or methods of musical processing having intrinsic musical character, i.e. involving musical theory or musical parameters or relying on musical knowledge, as applied in electrophonic musical tools or instruments
    • G10H2210/101—Music Composition or musical creation; Tools or processes therefor
    • G10H2210/145—Composing rules, e.g. harmonic or musical rules, for use in automatic composition; Rule generation algorithms therefor
    • G—PHYSICS
    • G10—MUSICAL INSTRUMENTS; ACOUSTICS
    • G10H—ELECTROPHONIC MUSICAL INSTRUMENTS; INSTRUMENTS IN WHICH THE TONES ARE GENERATED BY ELECTROMECHANICAL MEANS OR ELECTRONIC GENERATORS, OR IN WHICH THE TONES ARE SYNTHESISED FROM A DATA STORE
    • G10H2210/00—Aspects or methods of musical processing having intrinsic musical character, i.e. involving musical theory or musical parameters or relying on musical knowledge, as applied in electrophonic musical tools or instruments
    • G10H2210/395—Special musical scales, i.e. other than the 12- interval equally tempered scale; Special input devices therefor
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02P—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN THE PRODUCTION OR PROCESSING OF GOODS
    • Y02P90/00—Enabling technologies with a potential contribution to greenhouse gas [GHG] emissions mitigation
    • Y02P90/30—Computing systems specially adapted for manufacturing

Abstract

The invention belongs to the field of modern music industry, and particularly relates to an optimal rhythm generation method of a Beijing atrial sixty rhythm. The invention provides an optimal rhythm construction method of the Beijing atrio sixty rhythm and provides a fractional rhythm calculation method of the Beijing atrio sixty rhythm. The traditional representation method of the Beijing house sixty law is determined manually, and the manual assignment of the method does not achieve the optimal effect.

Description

Optimal rhythm generation method for Beijing atrio sixty rhythm
Technical Field
The invention belongs to the field of modern music industry, and particularly relates to a method for generating an optimal rhythm of a Beijing atrial sixty-law.
Background
In the field of musical art, the rhythm is one of main contents of music practice and music research, the five-degree phase rhythm is a rhythm of the rhythm, which is often called as the Pythagorean rhythm in western countries and the three-way beat rhythm in ancient China, and is respectively and independently proposed by musicians in Pythagorean school in ancient Greek period and Qin period in China, 7 th century before the male, the first book of the "tube and Dimember" puts forward a rhythm calculation method-three-way beat benefit method, and the "Lv Shichun autumn and rhythm" after hundreds of years "increases the rhythm to twelve-be-measured on the basis of three-way beat benefit, and attempts to achieve the ideal of five-sound, six-law and twelve-way beat phase beat. Then until western Han, the law student Beijing (77-37 years before) finds that the three-way benefit method cannot return to the original law (Huang Zhonglv) of origin after ten times of generation (namely, after the twelfth law), so that a great obstacle is caused to the ideal realization, and therefore, the Beijing deduces twelve laws to sixty laws according to the three-way benefit method proposed by the tube.
In the "book of the later Han and the calendar of the Chinese character" of the period Fan of north and south, the method for expressing the number of the rhythms of the Beijing atria is recorded, and the number of the rhythms of each rhythm is composed of two parts, namely a number plus unit, and a description of the strong or weak part. The numerical range of the first part is from four inches, five minutes and nine inches, the minimum number of rhythms is a "late time" rhythm, and the maximum number of rhythms is a "Huang Zhong" rhythm; for example, the "transfer" has a law number of "eight inches, six minutes, four minutes, and" Ling Yin "has a law number of" eight inches, two minutes, one minute, and one week ", and the first part has a unit of" inches "," minutes ", and" one minute ", where one inch is equal to ten minutes. The strong or weak of the second part is the mantissa part of the law number, and the mantissa is represented by the expressions of "weak", "weak" or "weak", "weak strong", "half strong" and "strong", respectively, according to the size of the mantissa. "strong" means more and "weak" means less.
In the era of Beijing, the concept of the rounding method does not appear, so that the fact that infinity is a great innovation of ancient people in China is indicated by the fact that the degree of intensity of each voice law is optimal is selected, and no literature is described in detail in the past. For example, the "transfer" in "the book of the rear Chinese and the calendar of the rhythm is" eight inch, six minute, small, and four strong ", which indicates that the value calculated by the" three minute, three benefit method "is greater than 8.64 inch, less than 8.65 inch, and is an infinite number between 8.64 and 8.65 inch, so that the infinite number can be expressed as" eight inch, six minute, four strong ", or" eight inch, six minute, five weak ", and is better or better by" strong "or" weak ". The sixty rules of Beijing house have 60 rules in total, and each has different 'strong/weak' choices, which form 2 59 A different "strong/weak" sequence, which is then optimal, is the problem to be solved by the present invention.
Therefore, a method for calculating the pitch of the sound is needed, which can conveniently calculate the intensity, so as to solve the problem of optimal distribution of the intensity.
Disclosure of Invention
In order to make up for the defects of the prior art, the invention provides a technical scheme of an optimal rhythm generation method of the Beijing atrio sixty-law.
The generation method of the optimal rhythms of the Beijing atrio sixty rhythms 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 rhythms calculation unit (20) and an optimal decimal rhythms value calculation unit (21), and the specific steps of the generation method of the optimal rhythms are as follows:
1) The frequency f which is given according to the actual requirement is input through an input module (1) 0 Frequency f 0 As a starting law, inputting a decimal-precision digit N of the voice law to be calculated;
2) A score array F represented by the score of the Beijing atrio sixty law is obtained by a score rhythm calculating unit (20): from the rhythms of f 0 Starting from the initial rhythm of (a), the chain generates fifty-nine rhythms, each of which has a value multiplied by the previous rhythms valueOr->To obtain the values f of fifty-nine rhythms generated as required i I is more than or equal to 1 and less than or equal to 59 in the numerical range +.>Within that, the ratio of each of the rhythm values to the rhythm value of the start rhythm is the divisor +.>Obtain the array f= { F 0 ,f 1 ,Λ,f i ,Λf 59 },0≤i≤59；
3) Obtaining an optimal N-bit fractional-note-value array H to be calculated by an optimal fractional-note-value calculation unit (21) * : from the fractional ratio of each of the phonetic values of the number sequence F to the initial phonetic value, a decimal number sequence G= { G of the N-bit precision number of digits of each of the phonetic notes is calculated 0 ＝f 0 ,g 1 ,g 2 ,Λ,g i ,Λ,g 59 Each decimal temperament value is an N-bit decimal, the decimal part after the N-bit digit is omitted, and thus there is g i ≤f i ＜g i +10 -N I is more than or equal to 0 and less than or equal to 59, and sixty pairs of N-bit decimal pairs (g) are obtained 0 ,g 0 ),(g 1 ,g 1 +10 -N ),(g 2 ,g 2 +10 -N ),Λ,(g i ,g i +10 -N ),Λ,(g 59 ,g 59 +10 -N ) One decimal is taken out from each pair of decimal, and a series H= { H composed of sixty rhythms is formed 0 ＝f 0 ,h 1 ,h 2 ,Λ,h i ,Λ,h 59 },h i ＝g i or g i +10 -N Thus there is 2 59 Different number columns H, the optimal decimal phonetic law value number column H * The method meets the following conditions:
4) Outputting the optimal decimal phonetic law value array H through an output module (3) * 。
The method for generating the optimal rhythm of the Beijing atrio sixty rhythm is characterized in that in the step 2), a score array F expressed by the score of the Beijing atrio sixty rhythm is obtained through a score rhythm calculating unit (20), and a fractional formula x is calculated first i I is more than or equal to 0 and less than 59, and the value f according to fifty-nine rhythms i I is more than or equal to 1 and less than or equal to 59 in the numerical rangeIs the requirement of the rhythmic value f i ＝f 0 ×x i I is not less than 1 and not more than 59, and can be obtained as a fraction +.>Wherein the index i of the denominator varies over a range of 0 to 59 and the corresponding values of j are respectively: [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 method for generating the optimal rhythm of the Beijing atrio sixty rhythm is characterized in that in the step 3), the optimal decimal rhythm value array H * Is 2 59 In the array of the number of notes,the phonetic rhythm proportion and the phase generating proportion of two adjacent N-bit finite decimal placesOr->The closest rhythms form, 2 59 The number of the personal rhythms consists of sixty rhythms, and the optimal decimal sixty rhythms meet the following conditions:
the method for generating the optimal rhythm of the Beijing atrio sixty rhythm 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 rhythm construction method of the Beijing atrio sixty rhythm and provides a fractional rhythm calculation method of the Beijing atrio sixty rhythm. The traditional representation method of the Beijing house sixty law is determined manually, and the manual assignment of the method does not achieve the optimal effect.
Drawings
FIG. 1 is a diagram of a prior art five degree phase rhythmic method;
FIG. 2 is a schematic diagram of the circuit relationship of the generating system according to the present invention;
fig. 3 is a schematic diagram of a series structure of a rhythmic column in the present invention.
Detailed Description
The invention is further described below with reference to the accompanying drawings.
FIG. 1 is a sixty-law of Beijing house numbers (ordered by the size of the law).
As shown in fig. 2 and 3, the method for generating the optimal rhythm of the sixty-law in the Beijing room comprises a generating system, wherein the generating system comprises an input module (1), a calculating module (2) and an output module (3), the computing module (2) comprises a fractional-note computing unit (20) and an optimal fractional-note value computing unit (21), and comprises the following specific steps:
1) Input of a press through an input module (1)The actual need for an artificially given frequency f 0 Frequency f 0 As a starting law, inputting a decimal-precision digit number of the voice law which is needed to be calculated by N;
2) A score array F represented by the score of the Beijing atrio sixty law is obtained by a score rhythm calculating unit (20): from the rhythms of f 0 Starting from the initial rhythm of (a), the chain generates fifty-nine rhythms, each of which has a value multiplied by the previous rhythms valueOr->To obtain the values f of fifty-nine rhythms generated as required i I is more than or equal to 1 and less than or equal to 59 in the numerical range +.>Within that, the ratio of each of the rhythm values to the rhythm value of the start rhythm is the divisor +.>Obtain the array f= { F 0 ,f 1 ,Λ,f i ,Λf 59 },0≤i≤59；
3) Obtaining an optimal N-bit fractional-note-value array H to be calculated by an optimal fractional-note-value calculation unit (21) * : from the fractional ratio of each of the phonetic values of the number sequence F to the initial phonetic value, a decimal number sequence G= { G of the N-bit precision number of digits of each of the phonetic notes is calculated 0 ＝f 0 ,g 1 ,g 2 ,Λ,g i ,Λ,g 59 Each decimal temperament value is an N-bit decimal, the decimal part after the N-bit digit is omitted, and thus there is g i ≤f i ＜g i +10 -N I is more than or equal to 0 and less than or equal to 59, and sixty pairs of N-bit decimal pairs (g) are obtained 0 ,g 0 ),(g 1 ,g 1 +10 -N ),(g 2 ,g 2 +10 -N ),Λ,(g i ,g i +10 -N ),Λ,(g 59 ,g 59 +10 -N ) One decimal from each pair of decimal places, constituting a sixty-phonetic-law compositionThe array h= { H 0 ＝f 0 ,h 1 ,h 2 ,Λ,h i ,Λ,h 59 },h i ＝g i or g i +10 -N Thus there is 2 59 Different number columns H, the optimal decimal phonetic law value number column H * The method meets the following conditions:
4) The output module (3) is a display screen, and the output module (3) outputs the phonetic alphabet number sequence H * 。
The score-pitch-law calculation unit 20 obtains Beijing score of the atrial sixty law represents a number column F: first, calculating the fractional number x i I is more than or equal to 0 and less than 59, and the value f according to fifty-nine rhythms i I is more than or equal to 1 and less than or equal to 59 in the numerical rangeIs the requirement of the rhythmic value f i ＝f 0 ×x i I is not less than 1 and not more than 59, and can be obtained as a fraction +.>Wherein the index i of the denominator varies over a range of 0 to 59 and the corresponding values of j are respectively: [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 optimal fractional-tone-law-value calculation unit (21) is used for calculating an optimal fractional-tone-law-value array H * Optimum number column H * Is 2 59 In the array of the musical notes, the musical notes of adjacent two N-bit finite decimal places are proportional to the phase generation methodOr->The closest rhythms form, 2 59 Each of the series of notes consists of sixty notes, and sixty adjacent notes satisfy:
the invention provides an optimal rhythm construction method of the Beijing atrio sixty rhythm and provides a fractional rhythm calculation method of the Beijing atrio sixty rhythm. The traditional representation method of the Beijing house sixty law is determined manually, and the manual assignment of the method does not achieve the optimal effect.
The output module 3 is a display screen, the invention can be applied to a PC end or a mobile phone end, the computer end is an example, the input module 1 is a keyboard, the calculation module 2 is completed through equipment such as a computer, the output module 3 is a computer display screen, and when in operation, the algorithm of the invention is used on the computer, and then any heart rate frequency f is input through the keyboard 0 The N decimal digits are input, and then the corresponding digit array is calculated by the calculation module 2 and displayed on a computer display screen.

Claims (4)

1. The generation method of the optimal rhythms of the sixty rhythms of the Beijing room 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 rhythms calculation unit (20) and an optimal decimal rhythms value calculation unit (21), and the specific steps of the generation method of the optimal rhythms are as follows:
1) The frequency f which is given according to the actual requirement is input through an input module (1) 0 Frequency f 0 As a starting law, inputting a decimal-precision digit N of the voice law to be calculated;
2) A score array F represented by the score of the Beijing atrio sixty law is obtained by a score rhythm calculating unit (20): from the rhythms of f 0 Starting from the initial rhythm of (a), the chain generates fifty-nine rhythms, each of which has a value multiplied by the previous rhythms valueOr->To obtain the values f of fifty-nine rhythms generated as required i I is more than or equal to 1 and less than or equal to 59 in the numerical range +.>Within that, the ratio of each of the rhythm values to the rhythm value of the start rhythm is the divisor +.>Obtain the array f= { F 0 ,f 1 ,Λ,f i ,Λf 59 },0≤i≤59；
3) Obtaining an optimal N-bit fractional-note-value array H to be calculated by an optimal fractional-note-value calculation unit (21) * : from the fractional ratio of each of the phonetic values of the number sequence F to the initial phonetic value, a decimal number sequence G= { G of the N-bit precision number of digits of each of the phonetic notes is calculated 0 ＝f 0 ,g 1 ,g 2 ,Λ,g i ,Λ,g 59 Each decimal temperament value is an N-bit decimal, the decimal part after the N-bit digit is omitted, and thus there is g i ≤f i ＜g i +10 -N I is more than or equal to 0 and less than or equal to 59, and sixty pairs of N-bit decimal pairs (g) are obtained 0 ,g 0 ),(g 1 ,g 1 +10 -N ),(g 2 ,g 2 +10 -N ),Λ,(g i ,g i +10 -N ),Λ,(g 59 ,g 59 +10 -N ) One decimal is taken out from each pair of decimal, and a series H= { H composed of sixty rhythms is formed 0 ＝f 0 ,h 1 ,h 2 ,Λ,h i ,Λ,h 59 },h i ＝g i or g i +10 -N Thus there is 2 59 Different number columns H, the optimal decimal phonetic law value number column H * The method meets the following conditions:
4) Outputting the optimal decimal phonetic law value array H through an output module (3) * 。
2. The method for generating an optimal rhythm of the sixty-law in Beijing atria according to claim 1, which comprises the following steps ofCharacterized in that in the step 2), a score array F represented by the score of the Beijing atrioventricular (Lidecubin) is obtained by a score rhythm calculating unit (20), and a score formula x is calculated first i I is more than or equal to 0 and less than 59, and the value f according to fifty-nine rhythms i I is more than or equal to 1 and less than or equal to 59 in the numerical rangeIs the requirement of the rhythmic value f i ＝f 0 ×x i I is not less than 1 and not more than 59, and can be obtained as a fraction +.>Wherein the index i of the denominator varies over a range of 0 to 59 and the corresponding values of j are respectively: [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 generating an optimal pitch of a sixty-law in a Beijing as claimed in claim 1, wherein in said step 3), the optimal fractional pitch value array H * Is 2 59 In the array of the musical notes, the musical notes of adjacent two N-bit finite decimal places are proportional to the phase generation methodOr->The closest rhythms form, 2 59 The number of the personal rhythms consists of sixty rhythms, and the optimal decimal sixty rhythms meet the following conditions: />
4. The method for generating the optimal rhythm of the sixty-law in the Beijing room according to claim 1 is characterized in that the output module (3) is a display screen.
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Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH11344979A (en) * 1998-05-29 1999-12-14 Yamaha Corp Melody generator and record medium
US7586031B1 (en) * 2008-02-05 2009-09-08 Alexander Baker Method for generating a ringtone
CN112035776A (en) * 2020-08-21 2020-12-04 陈根方 Bidao Las law-oriented antisymmetric law generation method

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH11344979A (en) * 1998-05-29 1999-12-14 Yamaha Corp Melody generator and record medium
US7586031B1 (en) * 2008-02-05 2009-09-08 Alexander Baker Method for generating a ringtone
CN112035776A (en) * 2020-08-21 2020-12-04 陈根方 Bidao Las law-oriented antisymmetric law generation method

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
理论通往实践的桥梁――试论民间测音设备的设计与高校乐律学课程的结合;漆明镜;;黄河之声(第03期);全文 *

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