Method of producing tones of an equally tempered scale

Claim 3

A method as claimed in claim 1; wherein the step of generating the second frequency comprises the steps of generating a fourth frequency of the same scale, generating a fifth frequency of the same scale, dividing the fourth frequency by a second integral divisor, and subtracting the result of the division by the second integral divisor from the fifth frequency; and wherein the steps of generating the fourth, fifth and every other frequency of the scale with the exception of the first frequency comprise the steps of dividing a frequency of the scale other than the frequency to be generated by an Nth integral factor, and subtracting the result of the division by the Nth integral factor from an additional frequency different from the frequency to be generated and different from the frequency divided by the Nth integral factor.

Claim 4

A method as claimed in claim 2, wherein the frequencies are generated in accordance with the relation fn 3 fn 2-(1/20)fn fn 2-(1/10)fn 12, where n is the ordinal number of the tone in the scale.

Claim 5

A method as claimed in claim 11, wherein the frequency are generated in accordance with the relation fn 3 fn 2-(1/15)fn 5 fn 2-(1/30)fn 7

Claim 6

Apparatus for producing a predetermined tone of a musical scale from a first and a second different additional tones of that scale, comprising means for dividing the frequency of the first tone by an integer, a bistable multivibrator having first and second input terminals and switchable to a first stable state in response to the trailing edge of an input pulse in the first terminal and switchable to a second stable state in response to the trailing edge of a pulse on the second input terminal, means for connecting the output of the divider to the first input terminal of the bistable multivibrator, whereby pulses from the divider trigger the multivibrator to the first stable state, a first AND gate means connected to the second input terminal of the multivibrator and to the second tone of the scale for triggering the multivibrator into the second stable state in response to the concurrence of a pulse of the second tone and the first stable state of the multivibrator, and a second AND gate means for providing output pulses from the apparatus in response to the concurrence of pulses of the second tone and the second stable state of the multivibrator.

Claim 7

Apparatus for producing a predetermined tone of a musical scale from a first and a second different additional tones of that scale, comprising means for dividing the frequency of the first tone by an integer, a bistable multivibrator having first and second input terminals and switchable to a first stable state in response to the trailing edge of an input pulse in the first terminal and switchable to a second stable state in response to the trailing edge of a pulse on the second input terminal, means for connecting the output of the divider to the first input terminal of the bistable multivibrator, whereby pulses from the divider trigger the multivibrator to the first stable state, a first AND gate means connected to the second input terminal of the multivibrator and to the second tone of the scale for triggering the multivibrator into the second stable state in response to the concurrence of a pulse of the second tone and the first stable state of the multivibrator, and a second AND gate means for providing output pulses from the apparatus in response to the concurrence of pulses of the second tone and the second stable state of the multivibrator.

Claim 8

Apparatus for producing a predetermined tone of a musical scale from a first and second different tones NAND gate the same scale, comprising a first group of six NAND gate stages, a second group of three additional NAND gate stages, means for connecting an output of each of the first group of NAND gate stages of the first group to an input terminal of the next succeeding stage, means for connecting an output of each of the second group of NAND gates to an input of tHe next succeeding stage of the second group, means for connecting the first tone to inputs of the first and fifth NAND gates of the first group, means for connecting an output of the first NAND gate of the first group to an input of the third NAND gate of the first group, means for cross-coupling the second NAND gate of the first group with the first NAND gate of the second group, means for cross-coupling the fourth NAND gate of the first group with the third NAND gate of the second group, means for connecting the second tone of the scale to an input of the fourth NAND gate of the first group and to inputs of the first and second NAND gates of the second group, the outputs from the fifth and sixth NAND gates comprising mutually reciprocal outputs of the apparatus.

Claim 9

Apparatus for producing a predetermined tone of a musical scale from a first and second different tones NAND gate the same scale, comprising a first group of six NAND gate stages, a second group of three additional NAND gate stages, means for connecting an output of each of the first group of NAND gate stages of the first group to an input terminal of the next succeeding stage, means for connecting an output of each of the second group of NAND gates to an input of tHe next succeeding stage of the second group, means for connecting the first tone to inputs of the first and fifth NAND gates of the first group, means for connecting an output of the first NAND gate of the first group to an input of the third NAND gate of the first group, means for cross-coupling the second NAND gate of the first group with the first NAND gate of the second group, means for cross-coupling the fourth NAND gate of the first group with the third NAND gate of the second group, means for connecting the second tone of the scale to an input of the fourth NAND gate of the first group and to inputs of the first and second NAND gates of the second group, the outputs from the fifth and sixth NAND gates comprising mutually reciprocal outputs of the apparatus.

Claim 12

A device as claimed in claim 7, wherein each cutoff circuit comprises a first series of six NAND gates, a second series of three NAND gate, means for connecting an output of each of the first five NAND gates in the first series to an input of the next succeeding NAND gate in the first series, means for connecting an output of the first and second NAND gates in the second series to the next succeeding NAND gate in the second series, means for connecting the output of the first NAND gate of the first series to an input of the third NAND gate in the first series, means for connecting the first input terminal of the cutoff circuit to inputs of the first and fifth NAND gates of the first series, means for cross-coupling the second NAND gate of the first series with the first NAND gate of the second series, means for cross-coupling the fourth NAND gate of the first series with the third NAND gate of the second series, means for connecting an output of the third NAND gate of the second series to an input of the first NAND gate of the first series, means for connecting the second input terminal of the cutoff circuit to an input of the fourth NAND gate of the first series and to inputs of the first and second NAND gates of the second series, and means for connecting the output terminal of the cutoff circuit to the output of the sixth NAND gate in the first series.

Claim 13

Apparatus as claimed in claim 8, wherein each of the 2-dividers comprises a cutoff circuit wherein the input of the divider comprises the first input terminal of the cutoff circuit, wherein the output of the divider comprises the output of the third NAND gate in the second series, and wherein the output of the fifth NAND gate in the first series is connected to the second input terminal of the cutoff circuit.

Claim 14

Apparatus for producing a substantially equal tempered 12-tone scale, comprising a series of 11 cutoff circuit means each having a first and second input terminals and an output terminal for removing a cycle of a signal applied to the first input terminal of the cutoff circuit in response to each cycle of a different signal applied to the second input terminal of the cutoff circuit and for providing the thus altered signal on the output terminal of the cutoff circuit, a series of 10 20-dividers for providing an output pulse in response to each 20 input pulses applied to the 20-divider, two 5-dividers for providing an output pulse in response to each five input pulses applied to the 5-divider, two 4-dividers for providing a single pulse in response to each four input pulses applied to the 4-divider, two 3-divider for providing a single output pulse in response to each three input pulses applied to the 3-divider, an oscillator connected to the first input terminal of the first cutoff circuit, means for connecting the output of each of the first 10 cutoff circuits to an input of the next succeeding cutoff circuit, means for connecting the output of the oscillator to the second input terminal of the third cutoff circuit through the first 20-divider, means for connecting the output of the first cutoff circuit to the second input of the fourth cutoff circuit through the second 20-divider, means for connecting the output of the second cutoff circuit to the second input of the fifth cutoff circuit through the third 20-divider, means for connecting the output of the third cutoff circuit to an input of the first 5-divider, means for connecting the output of the first 5-divider to the second input of the first cutoff circuit through the first 3-divider and to the second input terminal of the sixth cutoff circuit through the first 4-divider, means for connecting the output of the fourth cutoff circuit to an input of the second 5-divider, means for connecting the output of the second 5-divider to the second input terminal of the second cutoff circuit through the second 3-divider and to the second input terminal of the seventh cutoff circuit through the second 4-divider, means for connecting the output of the fifth cutoff circuit to the second input terminal of the eighth cutoff circuit through the fourth 20-divider, means for connecting the output of the sixth cutoff circuit to the second input terminal of the ninth cutoff circuit through the fifth 20-divider, means for connecting the output of the seventh cutoff circuit to the second input terminal of the tenth cutoff circuit through the sixth 20--divider, means for connecting the output of the eighth cutoff circuit to the second input terminal of the eleventh cutoff circuit through the seventh 20-divider, means for connecting the output of the ninth cutoff circuit to the input of the eighth 20-divider, means for connecting the output of the tenth cutoff circuit to the input of the ninth 20-divider, means for connecting the output of the eleventh cutoff circuit to the input of the tenth 20-divider, means for connecting each output of the 20-divider to separate output terminals of the tone-producing apparatus, and means for connecting the output of the 4-divider to additional output terminals of the tone-generating apparatus.

Claim 15

Apparatus for producing a substantially equal tempered 12-tone scale, comprising a series of 11 cutoff circuit means each having a first and second input terminals and an output terminal for removing a cycle of a signal applied to the first input terminal of the cutoff circuit in response to each cycle of a different signal applied to the second input terminal of the cutoff circuit and for providing the thus altered signal on the output terminal of the cutoff circuit, a series of 10 20-dividers for providing an output pulse in response to each 20 input pulses applied to the 20-divider, two 5-dividers for providing an output pulse in response to each five input pulses applied to the 5-divider, two 4-dividers for providing a single pulse in response to each four input pulses applied to the 4-divider, two 3-divider for providing a single output pulse in response to each three input pulses applied to the 3-divider, an oscillator connected to the first input terminal of the first cutoff circuit, means for connecting the output of each of the first 10 cutoff circuits to an input of the next succeeding cutoff circuit, means for connecting the output of the oscillator to the second input terminal of the third cutoff circuit through the first 20-divider, means for connecting the output of the first cutoff circuit to the second input of the fourth cutoff circuit through the second 20-divider, means for connecting the output of the second cutoff circuit to the second input of the fifth cutoff circuit through the third 20-divider, means for connecting the output of the third cutoff circuit to an input of the first 5-divider, means for connecting the output of the first 5-divider to the second input of the first cutoff circuit through the first 3-divider and to the second input terminal of the sixth cutoff circuit through the first 4-divider, means for connecting the output of the fourth cutoff circuit to an input of the second 5-divider, means for connecting the output of the second 5-divider to the second input terminal of the second cutoff circuit through the second 3-divider and to the second input terminal of the seventh cutoff circuit through the second 4-divider, means for connecting the output of the fifth cutoff circuit to the second input terminal of the eighth cutoff circuit through the fourth 20-divider, means for connecting the output of the sixth cutoff circuit to the second input terminal of the ninth cutoff circuit through the fifth 20-divider, means for connecting the output of the seventh cutoff circuit to the second input terminal of the tenth cutoff circuit through the sixth 20--divider, means for connecting the output of the eighth cutoff circuit to the second input terminal of the eleventh cutoff circuit through the seventh 20-divider, means for connecting the output of the ninth cutoff circuit to the input of the eighth 20-divider, means for connecting the output of the tenth cutoff circuit to the input of the ninth 20-divider, means for connecting the output of the eleventh cutoff circuit to the input of the tenth 20-divider, means for connecting each output of the 20-divider to separate output terminals of the tone-producing apparatus, and means for connecting the output of the 4-divider to additional output terminals of the tone-generating apparatus.

Claim 16

Apparatus as claimed in claim 10, wherein each cutoff circuit comprises a first series of six NAND gates, a second series of three NAND gates, means for connecting an output of each of the first five NAND gates in the first series to an input of the next succeeding NAND gate in the first series, means for connecting an output of the first and second NAND gates in the second series to the next succeeding NAND gate in the second series, means for connecting the output of the first NAND gate of the first series to an input of the third NAND gate in the first series, means for connecting the first input terminal of the cutoff circuit to inputs of the first and fifth NAND gates of the first series, means for cross-coupling the second NAND gate of the first series with the first NAND gate of the second series, means for cross-coupling the fourth NAND gate of the first series with the third NAND gate of the second series, means for connecting an output of the third NAND gate of the second series to an input of the first NAND gate of the first series, means for connecting the second input terminal to the cutoff circuit to an input of the fourth NAND gate of the first series and to inputs of the first and second NAND gates of the second series, and means for connecting the output terminal of the cutoff circuit to the output of the sixth NAND gate in the first series.