Music – Instruments
Patent
1987-01-12
1989-05-30
Witkowski, Stanley J.
Music
Instruments
84478, G09B 1504, G10H 700
Patent
active
048339628
DESCRIPTION:
BRIEF SUMMARY
BACKGROUND OF THE INVENTION
Field of the Invention
The present invention concerns an installation for performing all affine transformations in the range of musical compositions. Such installations particularly serve scientific and musical education ends, and can be used in the teaching of musical composition.
Both in the mathematical institutes of various universities, as well as in musical conservatories, famous compositions are analyzed for intensive study. For purposes of analysis, portions of the compositions are transcribed in accordance with mathematical rules. The basic operations used for this purpose are the following:
Reflection
Transposition
Displacements and
Transvections
In addition to these basic operations, all kinds of combinations of these basic operations are of interest as well.
In the past, such analyses were carried out by means of manual transcription. The resulting expense was enormous. The resulting compositions also frequently yielded hard-to-play compositions, with fingerings which a musician could either play not at all, or only do so with an inordinate amount of practice.
Nevertheless, simpler transcriptions of the type stated above have been made for centuries, even by famous musicians and composers.
SUMMARY OF THE INVENTION
The present invention has as its task that of creating an installation which makes possible, in their entirety, affine transformations in the range of compositions, and which plays them as well.
This task is solved by means of an installation of the type already described, which is characterized in that it comprises at least one input device for inputting the data of the melody to be transposed, and the mathematical functions to be carried out, as well as a computer with a memory and control unit for carrying out the mathematical operations, as well as for controlling an electronically controlled musical instrument, which serves as an acoustical output device.
BRIEF DESCRIPTION OF THE DRAWINGS
The attached diagrams depict one embodiment of the installation in accordance with the invention, as well as individual devices of the installation. These show:
FIG. 1: a schematic diagram of the installation;
FIG. 2: a view of the operating board of the input device of the installation; and
FIG. 3: an example of an inputting and transposing series of notes.
DESCRIPTION OF PREFERRED EMBODIMENTS
As can be seen from the schematic diagram of FIG. 1, the installation comprises five units, to which, however, further units may be connected as desired. The core of the installation is formed by a computer (1), which is supplied with musical and mathematical data from an input device (2). The input data are stored in the memory (11) inside the computer. The calculator (12) of the computer (1) processes the musical data input by input device (2), in accordance with the mathematical data likewise supplied by the input device. In the control command unit of input device (2), the entire affine transformation of the input compositions is carried on an integral matrix, and is played by a musical instrument (3) which is electronically controlled by the control unit (13) of the computer (1).
The electronically controlled musical instrument (3), which serves as an acoustical output device for the installation, may, for example, be an electronic organ. The computer (1), input device (2), and output device (3) represent the minimal construction of the installation.
Various additions to the minimal construction of the installation may simplify the work and deepen the understanding.
Among these are, for example, a monitor (4), on which the musical data stored in memory (12) of the computer (1) are made visible. After carrying out the desired transformation, the transformed series of notes appears on the picture tube of the monitor. This makes it possible to correct the transformation performed through the input of further data, if such is necessary.
In a memory (5) external to the computer (1), the information about the transformed series of notes can be permanentl
REFERENCES:
patent: 3926088 (1975-12-01), Davis et al.
patent: 4399731 (1983-08-01), Aoki
Eschbach Walter
Mazzola Guerino B.
Speckman Thomas W.
Witkowski Stanley J.
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