Abstract: An electronic piano includes a tone signal synthesizing system implemented by software, keys and key sensors monitoring the keys and reporting the key positions to the tone signal synthesizing system, and the tone signal synthesizing system includes damper model calculating modules for determining resistance against vibrations of wires of an a piano, a hammer model calculating module for determining force exerted on the wires, string model calculating modules for determining force exerted on an instrument body of the piano by the wires on the basis of the resistance and force exerted on the wires, an instrument body model calculating module for determining displacements of instrument body on the basis of the force exerted on the instrument body and an air model calculating module for determining a sound pressure at an observation point from the displacement of instrument body.

Abstract: A musical tone signal is synthesized based on performance information to simulate a sound generated from a musical instrument having a string and a body that supports the string by a support. There is provided a closed loop circuit having a delay element that simulates delay characteristic of vibration propagated through the string and a characteristic control element that simulates a variation in amplitude or frequency. A string model calculation circuit inputs an excitation signal based on the performance information to the closed loop circuit, and calculates first information representing a force of the string acting on the support based on a cyclic signal generated in the closed loop and representing the vibration of the string circuit. A body model calculation circuit calculates second information representing a displacement of the body or a derivative of the displacement. A musical tone signal calculation circuit calculates the musical tone signal.

Abstract: A musical tone signal is synthesized based on performance information to simulate a sound generated from a musical instrument having a string and a body that supports the string by a support. There is provided a closed loop circuit having a delay element that simulates delay characteristic of vibration propagated through the string and a characteristic control element that simulates a variation in amplitude or frequency. A string model calculation circuit inputs an excitation signal based on the performance information to the closed loop circuit, and calculates first information representing a force of the string acting on the support based on a cyclic signal generated in the closed loop and representing the vibration of the string circuit. A body model calculation circuit calculates second information representing a displacement of the body or a derivative of the displacement. A musical tone signal calculation circuit calculates the musical tone signal.

Abstract: An electronic piano includes a tone signal synthesizing system implemented by software, keys and key sensors monitoring the keys and reporting the key positions to the tone signal synthesizing system, and the tone signal synthesizing system includes damper model calculating modules for determining resistance against vibrations of wires of an a piano, a hammer model calculating module for determining force exerted on the wires, string model calculating modules for determining force exerted on an instrument body of the piano by the wires on the basis of the resistance and force exerted on the wires, an instrument body model calculating module for determining displacements of instrument body on the basis of the force exerted on the instrument body and an air model calculating module for determining a sound pressure at an observation point from the displacement of instrument body.

Abstract: An electronic piano includes a tone signal synthesizing system implemented by software, keys and key sensors monitoring the keys and reporting the key positions to the tone signal synthesizing system, and the tone signal synthesizing system includes damper model calculating modules for determining resistance against vibrations of wires of an a piano, a hammer model calculating module for determining force exerted on the wires, string model calculating modules for determining force exerted on an instrument body of the piano by the wires on the basis of the resistance and force exerted on the wires, an instrument body model calculating module for determining displacements of instrument body on the basis of the force exerted on the instrument body and an air model calculating module for determining a sound pressure at an observation point from the displacement of instrument body.

Abstract: An electronic piano includes a tone signal synthesizing system implemented by software, keys and key sensors monitoring the keys and reporting the key positions to the tone signal synthesizing system, and the tone signal synthesizing system includes damper model calculating modules for determining resistance against vibrations of wires of an a piano, a hammer model calculating module for determining force exerted on the wires, string model calculating modules for determining force exerted on an instrument body of the piano by the wires on the basis of the resistance and force exerted on the wires, an instrument body model calculating module for determining displacements of instrument body on the basis of the force exerted on the instrument body and an air model calculating module for determining a sound pressure at an observation point from the displacement of instrument body.

Abstract: An apparatus for controlling the pressure in a cargo tank 1 supplies BOG generated from liquefied natural gas stored in the cargo tank 1 to a burning system 6 through a compressor. In this apparatus, a reliquefaction plant 5 is disposed on the downstream side of first and second compressors 3 and 4 and on the upstream side of the cargo tank 1 so that BOG discharged from the second compressor 4 is liquefied by the reliquefaction plant 5 and the liquefied fluid is returned again into the cargo tank 1.

Abstract: A pressure control device of a cargo tank (1) for supplying the BOG of the stored liquefied natural gas producing inside the cargo tank to a incineration treating system (6) through compressors so as to control a pressure in the cargo tank (1), wherein a re-liquefying device (5) is disposed on the downstream side of the first and second compressors (3, 4), i.e.