Electronic musical instrument

In an equipment for developing a waveshape and modifying the waveshape to produce a musical tone signal in a desired frequency range, the improvement of a system for generating a composite waveshape having n possible components of different frequency in the amplitude of any sample point of the waveshape, comprising:

• first means for generating a function f(x) containing a time variable;
• second means for generating a waveshape F(x) in accordance with the equation ##EQU23## wherein n is an integer greater than one and represents the number of harmonic components constituting the waveshape F(x);
• third means for modifying the harmonic components of said waveshape F(x) and for generating, by the use of said function f(x), a modifying signal in accordance with the expression ##EQU24## wherein m satisfies the condition 1.ltoreq.m<n and Hi is the order of each harmonic component to be modified;
• and
• fourth means for modifying selected ones of the harmonic components of the waveshape F(x) in accordance with said modifying signal to produce a musical tone signal.

In an equipment for developing a waveshape and modifying the waveshape to produce a musical tone signal in a desired frequency range, the improvement of a system for generating a composite waveshape having n possible components of different frequency in the amplitude of any sample point of the waveshape, comprising:

• first means for generating a function f(x) containing a time variable;
• second means for generating a waveshape F(x) in accordance with the equation ##EQU25## wherein n is an integer greater than one and represents the number of harmonic components constituting the waveshape F(x);
• third means for modifying the harmonic components of said waveshape F(x) and for generating, by the use of said function f(x), a modifying signal in accordance with the expression ##EQU26## wherein m satisfies the condition 1.ltoreq.m<n and Hi is the order of each harmonic component to be modified;
• and
• fourth means for modifying selected ones of the harmonic components of the waveshape F(x) in accordance with said modifying signal to produce a musical tone signal.

In an equipment for developing a waveshape and modifying the waveshape to produce a musical tone signal in a desired frequency range, the improvement of a system for generating a composite waveshape having n possible components of different frequency in the amplitude of any sample point of the waveshape, comprising:

• first means for generating a function f(x) containing a time variable;
• second means for generating a waveshape F(x) in accordance with the equation ##EQU27## wherein n is an integer greater than one and represents the number of harmonic components constituting the waveshape F(x);
• third means for modifying the harmonic components of said waveshape F(x) and for generating, by the use of said function f(x), a modifying signal in accordance with the expression ##EQU28## wherein m satisfies the condition 1.ltoreq.m<n and Hi is the order of each harmonic component to be modified;
• and
• fourth means for modifying selected ones of the harmonic components of the waveshape F(x) in accordance with said modifying signal to produce a musical tone signal.

In an equipment for developing a waveshape and modifying the waveshape to produce a musical tone signal in a desired frequency range, the improvement of a system for generating a composite waveshape having n possible components of different frequency in the amplitude of any sample point of the waveshape, comprising:

• first means for generating a function f(x) containing a time variable;
• second means for generating a waveshape F(x) in accordance with the equation ##EQU29## wherein n is an integer greater than one and represents the number of harmonic components constituting the waveshape F(x);
• third means for modifying the harmonic components of said waveshape F(x) and for generating, by the use of said function f(x), a modifying signal in accordance with the expression ##EQU30## wherein m satisfies the condition 1.ltoreq.m<n and Hi is the order of each harmonic component to be modified;
• and
• fourth means for modifying selected ones of the harmonic components of the waveshape F(x) in accordance with said modifying signal to produce a musical tone signal.

In an equipment for developing a waveshape and modifying the waveshape to produce a musical tone signal in a desired frequency range, the improvement of a system for generating a composite waveshape having n possible components of different frequency in the amplitude of any sample point of the waveshape, comprising:

• first means for generating a function f(x) containing a time variable;
• second means for generating a waveshape F(x) in accordance with the equation ##EQU31## wherein n is an integer greater than one and represents the number of harmonic components constituting the waveshape F(x);
• third means for modifying the harmonic components of said waveshape F(x) and for generating, by the use of said function f(x), a modifying signal in accordance with the expression ##EQU32## wherein m satisfies the condition 1.ltoreq.m<n and Hi is the order of each harmonic component to be modified;
• and
• fourth means for modifying selected ones of the harmonic components of the waveshape F(x) in accordance with said modifying signal to produce a musical tone signal.

In an equipment for developing a waveshape and modifying the waveshape to produce a musical tone signal in a desired frequency range, the improvement of a system for generating a composite waveshape having n possible components of different frequency in the amplitude of any sample point of the waveshape, comprising:

• first means for generating a function f(x) containing a time variable;
• second means for generating a waveshape F(x) in accordance with the equation ##EQU33## wherein n is an integer greater than one and represents the number of harmonic components constituting the waveshape F(x);
• third means for modifying the harmonic components of said waveshape F(x) and for generating, by the use of said function f(x), a modifying signal in accordance with the expression ##EQU34## wherein m satisfies the condition 1.ltoreq.m<n and Hi is the order of each harmonic component to be modified;
• and
• fourth means for modifying selected ones of the harmonic components of the waveshape F(x) in accordance with said modifying signal to produce a musical tone signal.

In an equipment for developing a waveshape and modifying the waveshape to produce a musical tone signal in a desired frequency range, the improvement of a system for generating a composite waveshape having n possible components of different frequency in the amplitude of any sample point of the waveshape, comprising:

• first means for generating a function f(x) containing a time variable;
• second means for generating a waveshape F(x) in accordance with the equation ##EQU35## wherein n is an integer greater than one and represents the number of harmonic components constituting the waveshape F(x);
• third means for modifying the harmonic components of said waveshape F(x) and for generating, by the use of said function f(x), a modifying signal in accordance with the expression ##EQU36## wherein m satisfies the condition 1.ltoreq.m<n and Hi is the order of each harmonic component to be modified;
• and
• fourth means for modifying selected ones of the harmonic components of the waveshape F(x) in accordance with said modifying signal to produce a musical tone signal.

In an equipment for developing a waveshape and modifying the waveshape to produce a musical tone signal in a desired frequency range, the improvement of a system for generating a composite waveshape having n possible components of different frequency in the amplitude of any sample point of the waveshape, comprising:

• first means for generating a function f(x) containing a time variable;
• second means for generating a waveshape F(x) in accordance with the equation ##EQU37## wherein n is an integer greater than one and represents the number of harmonic components constituting the waveshape F(x);
• third means for modifying the harmonic components of said waveshape F(x) and for generating, by the use of said function f(x), a modifying signal in accordance with the expression ##EQU38## wherein m satisfies the condition 1.ltoreq.m<n and Hi is the order of each harmonic component to be modified;
• and
• fourth means for modifying selected ones of the harmonic components of the waveshape F(x) in accordance with said modifying signal to produce a musical tone signal.

In an equipment for developing a waveshape and modifying the waveshape to produce a musical tone signal in a desired frequency range, the improvement of a system for generating a composite waveshape having n possible components of different frequency in the amplitude of any sample point of the waveshape, comprising:

• first means for generating a function f(x) containing a time variable;
• second means for generating a waveshape F(x) in accordance with the equation ##EQU39## wherein n is an integer greater than one and represents the number of harmonic components constituting the waveshape F(x);
• third means for modifying the harmonic components of said waveshape F(x) and for generating, by the use of said function f(x), a modifying signal in accordance with the expression ##EQU40## wherein m satisfies the condition 1.ltoreq.m<n and Hi is the order of each harmonic component to be modified;
• and
• fourth means for modifying selected ones of the harmonic components of the waveshape F(x) in accordance with said modifying signal to produce a musical tone signal.

In an equipment for developing a waveshape and modifying the waveshape to produce a musical tone signal in a desired frequency range, the improvement of a system for generating a composite waveshape having n possible components of different frequency in the amplitude of any sample point of the waveshape, comprising:

• first means for generating a function f(x) containing a time variable;
• second means for generating a waveshape F(x) in accordance with the equation ##EQU41## wherein n is an integer greater than one and represents the number of harmonic components constituting the waveshape F(x);
• third means for modifying the harmonic components of said waveshape F(x) and for generating, by the use of said function f(x), a modifying signal in accordance with the expression ##EQU42## wherein m satisfies the condition 1.ltoreq.m<n and Hi is the order of each harmonic component to be modified;
• and
• fourth means for modifying selected ones of the harmonic components of the waveshape F(x) in accordance with said modifying signal to produce a musical tone signal.

In an equipment for developing a waveshape and modifying the waveshape to produce a musical tone signal in a desired frequency range, the improvement of a system for generating a composite waveshape having n possible components of different frequency in the amplitude of any sample point of the waveshape, comprising:

• first means for generating a function f(x) containing a time variable;
• second means for generating a waveshape F(x) in accordance with the equation ##EQU43## wherein n is an integer greater than one and represents the number of harmonic components constituting the waveshape F(x);
• third means for modifying the harmonic components of said waveshape F(x) and for generating, by the use of said function f(x), a modifying signal in accordance with the expression ##EQU44## wherein m satisfies the condition 1.ltoreq.m<n and Hi is the order of each harmonic component to be modified;
• and
• fourth means for modifying selected ones of the harmonic components of the waveshape F(x) in accordance with said modifying signal to produce a musical tone signal.

An electronic instrument for producing a musical tone signal, said instrument comprising means for producing a buzz wave signal constituted by a fundamental wave component and a plurality of harmonic components of different orders, all of said constituent components of said buzz wave signal having equal amplitudes to form a flat spectral distribution;

• means for producing one or more modifying signals having frequencies equal to selected one or ones of said harmonic components;
• means for modifying the level of various harmonic components contained in said buzz wave signal in accordance with said modifying signals, the amplitude of said selected ones of said harmonic components of said buzz wave signal modified by said modifying signals of frequencies equal to said selected ones of the harmonic components to generate a modified buzz wave signal characterized by a selected harmonic content;
• and
• means for receiving said modified buzz wave signal to produce a musical tone signal.