EP2079080A2 - Vorrichtung und Verfahren zur Tonsynthese - Google Patents

Vorrichtung und Verfahren zur Tonsynthese Download PDF

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Publication number
EP2079080A2
EP2079080A2 EP09000251A EP09000251A EP2079080A2 EP 2079080 A2 EP2079080 A2 EP 2079080A2 EP 09000251 A EP09000251 A EP 09000251A EP 09000251 A EP09000251 A EP 09000251A EP 2079080 A2 EP2079080 A2 EP 2079080A2
Authority
EP
European Patent Office
Prior art keywords
reed
lip
displacement
arithmetic operation
section
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
EP09000251A
Other languages
English (en)
French (fr)
Other versions
EP2079080B1 (de
EP2079080A3 (de
Inventor
Hideyuki Masuda
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Yamaha Corp
Original Assignee
Yamaha Corp
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Priority claimed from JP2008120311A external-priority patent/JP5332296B2/ja
Application filed by Yamaha Corp filed Critical Yamaha Corp
Publication of EP2079080A2 publication Critical patent/EP2079080A2/de
Publication of EP2079080A3 publication Critical patent/EP2079080A3/de
Application granted granted Critical
Publication of EP2079080B1 publication Critical patent/EP2079080B1/de
Not-in-force legal-status Critical Current
Anticipated expiration legal-status Critical

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Classifications

    • 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
    • G10H5/00—Instruments in which the tones are generated by means of electronic generators
    • G10H5/007—Real-time simulation of G10B, G10C, G10D-type instruments using recursive or non-linear techniques, e.g. waveguide networks, recursive algorithms
    • 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
    • G10H2250/00—Aspects of algorithms or signal processing methods without intrinsic musical character, yet specifically adapted for or used in electrophonic musical processing
    • G10H2250/471—General musical sound synthesis principles, i.e. sound category-independent synthesis methods
    • G10H2250/511—Physical modelling or real-time simulation of the acoustomechanical behaviour of acoustic musical instruments using, e.g. waveguides or looped delay lines
    • G10H2250/521—Closed loop models therefor, e.g. with filter and delay line

Definitions

  • the X axis intersects with the Z axis in the upper surface (i.e., surface opposed to the mouthpiece MP) of the reed MR when no external force is acting on the reed MR. Further, the Y axis extends in a vertical (thickness) direction of the reed MR to intersect with the X and Z axes.
  • mlip(x) represents a distribution of mass [kg/m], in the X direction, of the lip ML.
  • the distribution of spring constant klip(x), thickness dlip(x), distribution of internal resistance ⁇ lip(x) and distribution of mass mlip(x) vary depending on where the position x in the X direction is.
  • Motion Equation B can be transformed into Equation B1 below.
  • m lip x + ⁇ reed ⁇ A x ⁇ ⁇ 2 ⁇ y x ⁇ t ⁇ t 2 + E reed ⁇ ⁇ 2 ⁇ x 2 ⁇ I x ⁇ ⁇ 2 ⁇ y ⁇ x 2 + 2 ⁇ ⁇ ⁇ x ⁇ I x ⁇ ⁇ 3 ⁇ y ⁇ x 3 + I x ⁇ ⁇ 4 ⁇ y ⁇ x 4 + ⁇ lip x + ⁇ reed x ⁇ ⁇ y x ⁇ t t k lip x y b x - d lip x - y x ⁇ t + p t - P ⁇ b reed x
  • tubular body simulating section 33 As shown in Fig. 6 , a tubular body section (extending from the mouthpiece to the bell) of an actual wind instrument can be approximated by a structure comprising k (k is a natural number) tubular unit portions U (U[1] - U[k]) connected together in series. Diameters and overall lengths of the individual tubular unit portions (namely, shape of each of the tubular body portions) are variably set.
  • the tubular body simulating section 33 realizes behavior of a sound wave inside the tubular body portion by use of a physical model (hereinafter referred to as "tubular body model”) simulating the structure of Fig. 6 .
  • tubular body model a physical model
  • the subtraction portion 622 functions as a high-pass filter that filters out components of the output wave pressure POUT(k, t) which fall below the cutoff frequency fCB.
  • the radiated sound pressure PB(t) is equivalent to pressure of the sound wave radiated from the bell.
  • the two-port type connecting section J[i] includes: a multiplication section 71 for multiplying output wave pressure POUT(i, t), supplied via the path r1, by a coefficient ⁇ i; a multiplication section 72 for multiplying reflected wave pressure PIN(i+1, t), supplied via the path r2, by a coefficient ⁇ i; an addition section 73 for adding together an output ( ⁇ i ⁇ POUT(i, t)) from the multiplication section 71 and an output ( ⁇ i ⁇ PIN(i+, t)) from the multiplication section 72; a subtraction section 74 for outputting a difference between the output from the addition section 73 and the output wave pressure POUT(i, t) to the path r2 as new reflected wave pressure PIN(i, t); and a subtraction section 75 for outputting a difference between the output from the addition section 73 and the reflected wave pressure PIN(i+1, t) to the path r1 as new output wave pressure POUT(i+1, t).
  • the multiplication section 68 calculates sound pressure Ri(t) by multiplying the output of the low-pass filter section 661 by a coefficient rHi (e.g., positive or negative number whose absolute value is, for example, below one), in order to simulate a situation where phase inversion does not occur when the i-th tone hole is closed or where sound wave loss and phase inversion occur when the tone hole is opened. Namely, the multiplication section 68 simulates reflection of a sound wave at a boundary between inside and outside of the tone hole.
  • the sound pressure Ri(t) is delayed by the delay element DE2 by a delay amount dE2 and then output to the three-port connecting section J[i] (multiplication section 77).
  • Fig. 16 is a block diagram showing the characteristic parameter conversion section 21 employed in the third embodiment.
  • the characteristic parameter conversion section 21 calculates the internal resistance ⁇ lip(x) corresponding to the position x by performing the arithmetic operation of Equation (a3 - 1) with respect to the physical property values and dimension (tan ⁇ lip, blip(x), ⁇ lip and Elip(x)) of the lip ML.
  • the horizontal width blip(x) is calculated from the tone pitch fn through a key process as in the above-described first embodiment.

Landscapes

  • Physics & Mathematics (AREA)
  • Nonlinear Science (AREA)
  • Engineering & Computer Science (AREA)
  • Acoustics & Sound (AREA)
  • Multimedia (AREA)
  • Electrophonic Musical Instruments (AREA)
  • Aerodynamic Tests, Hydrodynamic Tests, Wind Tunnels, And Water Tanks (AREA)
  • Wind Motors (AREA)
EP09000251.0A 2008-01-10 2009-01-09 Vorrichtung und Verfahren zur Tonsynthese Not-in-force EP2079080B1 (de)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
JP2008003383 2008-01-10
JP2008120311A JP5332296B2 (ja) 2008-01-10 2008-05-02 楽音合成装置およびプログラム

Publications (3)

Publication Number Publication Date
EP2079080A2 true EP2079080A2 (de) 2009-07-15
EP2079080A3 EP2079080A3 (de) 2014-12-24
EP2079080B1 EP2079080B1 (de) 2016-03-23

Family

ID=40380198

Family Applications (1)

Application Number Title Priority Date Filing Date
EP09000251.0A Not-in-force EP2079080B1 (de) 2008-01-10 2009-01-09 Vorrichtung und Verfahren zur Tonsynthese

Country Status (1)

Country Link
EP (1) EP2079080B1 (de)

Non-Patent Citations (2)

* Cited by examiner, † Cited by third party
Title
R.T. SCHUMACHER: "Ab Initio Calculations of the Oscillations of a Clarinet", ACUSTICA, vol. 48, no. 2, 1981, pages 75 - 85
S.D. SOMMERFELDT; W.J. STRONG: "Simulation of a player-clarinet system", ACOUSTICAL SOCIETY OF AMERICA, vol. 83, no. 5, 1988, pages 1908 - 1918

Also Published As

Publication number Publication date
EP2079080B1 (de) 2016-03-23
EP2079080A3 (de) 2014-12-24

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