US2846913A - Circular scale electrical musical instrument - Google Patents

Circular scale electrical musical instrument Download PDF

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US2846913A
US2846913A US169901A US16990150A US2846913A US 2846913 A US2846913 A US 2846913A US 169901 A US169901 A US 169901A US 16990150 A US16990150 A US 16990150A US 2846913 A US2846913 A US 2846913A
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tone
octave
component
pitch
tones
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US169901A
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Hammond Laurens
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Hammond Organ Co
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Hammond Organ Co
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    • GPHYSICS
    • G10MUSICAL INSTRUMENTS; ACOUSTICS
    • G10HELECTROPHONIC 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
    • G10H1/00Details of electrophonic musical instruments
    • G10H1/02Means for controlling the tone frequencies, e.g. attack or decay; Means for producing special musical effects, e.g. vibratos or glissandos
    • G10H1/06Circuits for establishing the harmonic content of tones, or other arrangements for changing the tone colour
    • G10H1/08Circuits for establishing the harmonic content of tones, or other arrangements for changing the tone colour by combining tones

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  • My invention relates generally to electrical musical instruments and more particularly to a method and apparatus for producing a novel effect in the perception of the pitch of musical tones.
  • the apparent pitch of a com plex musical tone is determined by the pitch of the lowest frequency component of the tone. It is known that this is not strictly true.
  • One known exception is that a complex musical tone having at least second and third harmonic components but no fundamental component is perceived by the listener as having the pitch of the absent fundamental.
  • a novel and very startling musical effect may be produced, for example, with a musical instrument adapted to provide musical tones that change in quality in a certain manner as the tones change in pitch. If the keys of an octave of such an instrument are depressed one after the other in a deliberate manner as in playing the chromatic musical scale, from low pitch to high pitch, each successive tone apparently has the pitch corresponding to the depressed key, and the series of tones apparently is that of the ascending chromatic scale. However, if after the twelfth tone of the octave has been played, the first is again sounded, the surprising fact is that the tone produced then seems to a listener to be of higher pitch than the twelfth tone.
  • the player thus may play an ascending scale in the same octave repeatedly and it is perceived by the listeners as a progression of tones of uninterruptedly ascending pitch. This illusion is very powerful, so much so that a listener hearing it for the first time is utterly perplexed and cannot believe his ears.
  • a person may play the ascending chromatic scale through two octaves of keys and find by comparing the last tone with the first that there is only one octave of pitch diiference between the two although, as the scale was played, each successive tone was apparently a semitone higher than the preceding tone.
  • the two tone components may difier in pitch by one or more octaves.
  • an object of this invention is to produce a novel, unexpected musical effect.
  • a further object is to provide apparatus for combining tone components to provide a series of tones for producing a novel scale efiect whereby the tones sounded.
  • a further object is to provide apparatus for producing a circular scale musical effect.
  • a further object is to provide apparatus for producing scale tones characterized in that the actual change in pitch over a given range is less than the apparen change-
  • a further object is to provide apparatus for producing accompaniment musical tones.
  • a further object is to provide apparatus for producing accompaniment tones for a multi-octave musical instrument having playing keys, the number of different tones being less than the number of keys.
  • Figure 1 is a diagrammatic representation of an illustrative embodiment of this invention
  • Figure 2 is a tabulation of illustrative resistance values of the resistors of Fig. 1;
  • FIGS 3, 4 and 5 are diagrams illustrating the pri ciples of this invention.
  • Figure 6 is a diagrammatic representation .of a modified form of this invention.
  • Figures 7 and 8 illustrate tone wheel generators which may be employed as parts of the apparatus illustrated in Fig. 6;
  • Figure 9 illustrates a magnetic record reproducing mechanism which may form a part of the apparatus illustrated in Fig. 6.
  • FIG. 10 is a diagram illustrating the principles of this invention.
  • circular scale as used in this application, is meant a progressive change in tone quality throughout the range of one or two octaves whereby the lowest tone within the range are complex tones comprising a relatively low strength unison tone and a relatively high strength octave tone While the highest pitched tone within the range consists of a relatively high strength complex unison tone and a relatively low strength .octavely related complex tone, the intermediate tones within the range of an octave or two octaves being graded progress sively between the lowest and highest tones.
  • Fig. 1 illustrates a musical instrument having thirteen keys 10, the four typical keys 10 illustrated bein the three lowest and the highest pitched keys .10, designated as C3, C3#, D3 and C4.
  • Each key 10 has an operating connection with an individual middle octave switch 14, with arhigh octave switch 16, and, except for .the C3 and C4 keys 1 0, with a low octave switch 18.
  • a rank of twelve middle octave generators or sources 20 are provided, three representatives ,of which are illustrated, for producing scale tone signals differing by semitone pitch intervals and extending .over a musical octave beginning, for example, with the .note C3, 261.6 cycles per second (C. P. 8.), and progressing npward through C3# (277.2 C. P. 8.), D3 (293.7 C. P. 8.), ,and so forth.
  • Three high octave generators ,22 are illustrated as representative of a rank of twelve such generators 22 provided for producing tone signals one octave h gher in pitch than the signals produced by the correspondingly designated middle octave generators 2.0.
  • the generators 22 respectively designated C4, C4# and D4 :provide signals at 523.3 C. P. 8., 554.4 C. P. S., and 5873 C. P. S.
  • a rank of eleven low octave generators 24 are provided, two typical generators 24 being illustrated, for producing tone signals one octave lower in pitch than the signals from the corresponding middle octave generators 20.
  • the generators 24 respectively designated C24? and D2 produce signals at 138.6 C. P. S. and 146.8 C. P. S. No generator 24 of the pitch C2 is provided.
  • One output terminal of each of the generators 20, 22, 24 is grounded.
  • One terminal of each of the switches 14, 16, 18 is connected with one end of a low impedance primary winding 26 of a transformer 28, the other end of'the winding 26 being grounded.
  • the secondary winding 30 of the transformer 28 is connected with the input of an amplifier or output system 32. One end of the secondary 30 is grounded.
  • the output of the amplifier 32 is connected with a speaker or translator 34.
  • each middle octave switch 14 is connected through an individual resistor R36 with the ungrounded terminal of the middle octave generator 20 having the same pitch designation.
  • the C note switch 14 is connected with the generator 20 designated C3, the C# note switch 14 with the C3# generator 20, the D switch 14 with the D3 generator 20, and so forth.
  • the switches 14 and resistors R36 may be regarded as parts of the respective generators 20.
  • each of the high octave switches 16 is connected by an individual resistor R38 with the high octave generator 22 having the same pitch designation.
  • the C switch 16 is connected with the C4 generator 22, the C# switch 16, with the C4# generator 22,- and so forth.
  • Each of the low octave switches 18 is connected through an individual resistor R40 with the corresponding low octave generator 24, the C# switch 18 being connected with the C2# generator 18, and so on.
  • the resistors R36, R38, R40 regulate the amplitudes of the output signals from the generators 20, 22, 24.
  • the values of R36, R38 and R40 should be large compared with the impedance of the transformer primary 26 and with the internal impedances of the generators 20, 22, 24. As indicated in Fig. 2, all the middle octave resistors R36 may have the same value, such as 39 ohms.
  • the values of the high octave resistors R38 are graded, roughly in a geometric series, between a value such as 39 ohms for the C notes and 330 ohms for the B notes.
  • the low octave resistors R40 are graded geometrically between values such as 330 ohms for the C# notes and 47 ohms for the B notes.
  • the associated switches 14 and 16 are closed and the C3 and C4 generators 20 and 22 are connected through R36 and R38 respectively to the primary 26 of the transformer 28 and thence to the output system 32.
  • the tones C3 at 261.6 C. P. S. and C4 at 523.3 C. P. S. are sounded simultaneously. Since, as shown in Fig. 2, R36 and R38 have the same values for this key 10, the tones have equal intensities, and an octave coupler effect is produced.
  • the apparent pitch is that of the lower frequency C3 component.
  • the generators 20 (C3#), 22 (C4#) and 24 (C2#) are connected with the output system 32 through R36, R38 and R40 respectively and the three generators are concurrently sounded to produce a tone comprising three octavely related components.
  • the middle octave (C3#) component has the same amplitude as before since the values of all of the resistors R36 are the same, but the high octave component (C4#) has a slightly smaller amplitude than before because the value of R38 is about 20 percent greater.
  • the amplitude of the low octave component (C2#) is very small be- 4 l cause of the relatively high value of R40.
  • the amplitude of the low octave component is so small that the apparent pitch of the composite tone is that of the middle octave (C3#) component and the apparent pitch thus is higher than that of the preceding tone.
  • a tone comprising middle octave (D3), high octave (D4) and low octave (D2) components is sounded.
  • the intensity of the low octave, component is slightly greater than before because of the smaller value of R40, and the intensity of the high octave component is decreased slightly because of the greater value of R38 while the intensity of the middle octave component remains the same as before. Since all three of the components have increased in pitch from the previous tone the apparent over-all pitch of the tone is increased also.
  • the intensity of the low octave component is nearly as great as the intensity of the middle octave component while the intensity of the high octave component is reduced to a very small value.
  • the apparent pitch of this tone is that of the low octave component and is actually a semitone lower than the apparent pitch of the C3 tone which was first sounded. If the C4 key 10 is depressed the tone sounded is the same as that produced by the depression of the C3 key .10 but the tone seems to be higher in pitch than the preceding tone in the scale. With an instrument such as this the pitch of the tones seems to change in the normal manner from note to note as a scale is played, but the pitch of the last scale tone is the same as that of the first. Such a scale may aptly be termed a circular scale.”
  • Fig. l the components connected to the output by operation of a given key 10, taken together, may be regarded as a single source of a complex octave coupler type signal.
  • one such complex source comprises the components connected with the D3 key 10, including the D3 generator 20 and the associated resistor R36 and switch 14 which contribute the middle octave or fundamental signal component, the D2 generator 24 and the associated resistor R40 and switch 18 which contribute the low octave or suboctave coupler component, and the D4 generator and the associated resistor R38 and switch 16 which furnish the high octave or octave coupler component.
  • the fundamental com-- ponent has the same percentage amplitude for all the tones of the scale but the suboctave coupler effect increases progressively from tone to tone in ascending order and the octave coupler effect decreases progressively from tone to tone.
  • Fig. 4 illustrates one such variation.
  • a polar diagram is shown in which the arrows 60 originating at the origin or center of the diagram represent the intensities of a low octave or suboctave tone component and the outer arrows 62 terminating at a circular envelope line 63 represent the intensities of a high octave or fundamental tone component.
  • the two components may differ in pitch by a single octave.
  • the diagram illustrates how the components may be combined to produce a circular scale effect.
  • the tone A comprises the fundamental component only.
  • a small amount of the suboctave component is introduced into the tone Ali to produce a suboctave coupler effect and the fundamental component is reduced slightly so that the total amplitude remains constant.
  • the magnitude of the suboctave coupler effect increases progressively through the tones B, C, Cit, D, Dtt, E,, F, Fit, G and Git while the magnitude of thev fundamental component progressively decreases, as indicated by the diagram.
  • tones such as Fit, G and Git the intensity of the suboctave coupler component. is considerably greater than that of the fundamental component, and the suboctave component tends to dominate the tone and to determine the apparent or subjective pitch.
  • the tone Git has a lower subjective pitch then the tone A because the suboctave component which dominates the tone G4 is one semitone lower in pitch than the fundamental component which dominates the tone A.
  • Fig. 1 may readily be modified to provide such a scale of tones by omitting the generators 24, the resistors R40 and the switches 13 and by changing the values of the resistors R36 and R38.
  • the generators 22 may be utilized tov furnish. the fundamental components and the generators 20, to furnish the suboctave coupler components. A generator is not required to produce the tone A since a generator 22 produces the fundamental component which comprises the entire tone.
  • Fig. 4 has been drawn in polar form inv order to illustrate the aptness of the name circular scale and to show that the change in tone quality from tone to:tone is so gradual that the tones may be sounded in. succession without unusual discontinuities in pitch. If the tones are sounded in ascending order beginning with any of the tones, they are perceived as a regularly ascending scale although there is no net change in pitch over a complete octave of tones.
  • Fig. 5 shows another illustrative. application of the fundamental principles of this invention. of. the diagram is similar to that of Fig. 3, the lower arrows 70, drawn with light lines, representing the amplitudes of a suboctave tone component and the upper arrows 72, drawn with heavy lines, representing the amplitudes of afundamental tone component.
  • the circularization of the scale is accomplished through a range of only four tones rather than acomplete octave.
  • the tones C, Cit, D, Dtt and E consist entirely of the fundamental component. If they are successively sounded the first five tones of an orthodox chromatic scale are heard.
  • the tones F, Fit, G and Git comprise both the fundamental and.
  • the suboctave component furnishing about 10 percent of. the intensity of the tone F, 25 percent of the intensity of the tone Fit, 56 percent ofv the intensity of the tone G and 75 percent of the intensity of the tone Git.
  • The. remaining tones A, At. and B consist entirely of the suboctave component. If the twelve tones are sounded in succession there is a slight change of quality between the tones Ev and F, but the change isso small that it is hardly perceptible and the pitch seems to rise a normal. semitone between the two tones. Likewise there is a change.
  • Fig. 6 illustrates how the circular scale principle may be applied to provide accompaniment tones for a multioctave keyboard type electrical musical instrument. It will be apparent to those skilled in the art that a circular scale instrument is not well adapted to play solo melody parts in which large intervals of pitch change are encountered because the circular scale illusion depends upon the successive sounding of adjacent tones as in playing a chromatic or diatonic scale. However, a circular scale instrument may be employed as an accompaniment section of an instrument which also comprises a solo. section. Both the solosection and the accompaniment section may be operated by a single keyboard, or separate keyboards may be employed. Only the accompanh ment section of such an instrument is shown in Fig. 6 and the solo section may he of any desired construction.
  • the seven playing keys illustrated in Fig. 6 represent the keys of a four octave instrument.
  • Each of the keys 80 has an operating connection with a switch 82.
  • One terminal of each of the switches 82 is connected by means of a collector bus-bar 84 to an input terminal 86 of an amplifier or output system 88 having a low-impedance input, and the other input terminal 90 of the amplifier is grounded.
  • the output of the amplifier 88 is connected to a speaker or other output device 92.
  • Twelve generating systems or sources 94 are provided to pro-- Jerusalem tones corresponding with the twelve musical notes of an octave.
  • Three representative. generators 94 designated C, C# and B are illustrated.
  • Each of the switches 82 is connected through an individual resistor R to the ungrounded terminal 95 of one of the generators 94, all of the C switches 82 being connected to the C generator 94, all of the C# switches 82 to the C# generator 94, and so forth.
  • a plurality of octaves of keys may be served by a single octave of generators.
  • each generator 94 is designed to provide tones having different tone qualities so that the circular scale effect is produced when the keys 80 are successively depressed.
  • each generator 94 may comprise a plurality of oscillators, somewhat as illustrated in Fig. I, adjusted to produce high, low and middle octave components in the proportions suggested in Fig. 3, the amplitude of the low octave component increasing and the amplitude of the high octave component decreasing as an ascending scale is played.
  • each generator 94 may comprise oscillators to produce fundamental and suboctave components in the proportions indicated either in Fig. 4 or in Fig. 5.
  • Figs. 7 and 8 illustrate another modified construction of the generators 94.
  • the generators are of the type shown in the patent to Laurens Hammond, No. 1,956,350 entitled Electrical Musical Instrument, including magnetically permeable tone or phonic wheels which rotate adjacent permanent magnets 109 having pickup coils 111.
  • Figs. 7 and 8 illustrate such tone wheels which are adapted to produce circular scale tones.
  • Each of the generators 94 may include a tone wheel 112 suchas that illustrated in Fig. 8.
  • Sixteen notches or undulations 114, 116 and 118 are equally spaced around the periphery of the tone wheel 112.
  • the notches 114 having azimuths of 0, 90, 180 and 270, are of vari able depth; the four notches 116, having azimuths of 45, 225 and 315, are of an intermediate or medium depth such as inch and the remaining notches are of small depth such as inch.
  • the notches 114 have the same depth as the notches 116. This. particular tone wheel is illustrated in Fig. 7.
  • the notches 114 In the tone wheel 112 forming a part of the B generator 94 the notches 114 have a depth such as %2 inch which is considerably greater than the depth of the notches 116.
  • the notches 114 in the tone wheel 112 for intermediate note generators 94 are graded in depth between these extremes, the notches 114 becoming progressively deeper for the higher pitched notes.
  • the notches 114 in the C# phonic wheel 112 are slightly deeper than those inthe C tone wheel 112
  • the notches 114 in the D tone wheel 112 are slightly deeper than those in the C# tone wheel 112, and so forth.
  • the phonic wheels 112 are rotated at different speeds to produce differently pitched signals.
  • the speed of the phonic wheel 112 forming a part of the C generator 94 is the lowest and the speed of the phonic wheel forming a part of the B generator 94 is the highest.
  • the tone wheel generator 94 produces a tone signal having fundamental and octave components, the fundamental component being due primarily to the deeper notches 114 and 116 and the octave component being due primarily to the shallower notches 118.
  • the tone wheel generator produces a tone signal having a suboctave component (with its harmonics) in addition to the fundamental and octave components (with their respective harmonics). The suboctave component becomes greater and greater relative to the fundamental and octave components when the notches 114 are made deeper and deeper than the notches 116.
  • the tone produced upon depression of the C1 key 80 has fundamental and octave components of approximately equal intensities.
  • the tone produced by the depression of the C1# key 80 has a small suboctave component, but the suboctave coupler effect is so slight that the C1# tone is heard as having a higher pitch than the C1 tone.
  • the suboctave component gradually dominates the tones so that the B1 tone is heard as having the pitch of the suboctave component.
  • the C2 tone which has the same pitch and quality as the C1 tone, then has a higher apparent pitch than the B1 tone.
  • the same circular scale is repeated if the succeeding octaves of keys 80 are successively depressed.
  • an accompaniment section employing the circular scale principle effects a substantial reduction in the number of accompaniment generators required for a multioctave instrument.
  • Accompaniment chords and simple counter-melodies may be played with the circular scale accompaniment section with pleasing musical results.
  • the circular scale effect may be utilized to produce novel melodic and accompaniment effects which are impossible with a conventional musical instrument.
  • the simultaneous depression of more than one octavely related key 80 produces additive effects because of the provision of an individual decoupling resistor R100 for each key switch 82.
  • a tone signal from the C generator 94 is transmitted through the C1 resistor R100 to the output system 88.
  • Simultaneous depression of the C2 key 80, closing the C2 switch 82 provides an additional path through the C2 resistor R100 from the C generator 94 to the output system, and the C tone is sounded with additional intensity.
  • Fig. 9 illustrates another modified form of the generators 94 of Fig. 6.
  • each generator may comprise a record 120, which is illustrated as a magnetic wire, together with apparatus adapted to reproduce the signals recorded upon the record 120.
  • apparatus may include a supply spool 122, a take-up spool 124 and a pick-up or transducing element 126 having output terminals 93 and 95 corresponding with the similarly designated output terminals of the generators 94 in Fig. 6. Any ofv the many well-known types of records and re- 'ments described herein.
  • Each of the records may be impressed with a tone signal having octavely related components proportioned according to the principles of this invention.
  • High, low and middle octave tone components may be combined according to the arrangement illustrated in Fig. 3 or, if desired, fundamental and suboctave components may be combined according to either of the arrangements illustrated in Figs. 4 or 5, for example.
  • the tone signal components for recording upon the record 120 may be derived from any desired sources.
  • Fig. 10 illustrates a further application of the principles of this invention in which the pitch changes one octave over a two octave range of notes.
  • the lower arrows 130 drawn with light weight lines, represent the amplitudes of a suboctave component
  • the middle arrows 132 drawn with medium weight lines
  • the upper arrows 134 drawn with heavy lines
  • the lowest tone C comprises fundamental and octave components having approximately equal amplitudes.
  • introduced into the next tone C# and the amplitude of the octave component is correspondingly reduced so that the total amplitude remains unchanged.
  • the amplitude of the suboctave component becomes greater and the amplitude of the octave component correspondinglysmaller with each successive tone taken in ascending order through two octaves until with the twenty-fifth one octave difference in apparent pitch between the high-' est and the lowest C tones although the scale seems to" ascend through a full two octaves of tones because of the very gradual introduction of the suboctave component; No unusual discontinuities in pitch or tone quality are heard as a scale is played.
  • An electrical musical instrument for playing a circular scale comprising a plurality of scale tone signal sources including individual phonic wheels having a plurality of equally spaced notches, said notches being alternately deep and shallow, an output system coupled with said sources, and a plurality of playing keys connected with said sources for sounding said sources individually, said sources including a group of sources comprising phonic wheels having said deep notches which are alternately very deep and less deep, said very deep notches of the sources of said group in ascending order being progressively deeper and deeper.
  • a small amount of the suboctave component is the combination of a plurality of playing keys, a plurality of sources of electrical musical tone signals of pitches corresponding to successive semitone intervals of the tempered musical scale, and means operable by the keys to cause substantially dilferent tone quality signals to be transmitted from the sources to the output system, the quality of the tone signals being characterized by having sub-octave partials of progressively increasing amplitude as an ascending chromatic or diatonic scale is played.
  • the combination set forth in claim 4 which includes a series of at least twenty-five successive semitone 10 6.
  • the combination set forth in claim 2 which includes a series of at least thirteen successive semitone keys and in which the quality of the tone signal transmitted to the output system upon playing of the thirteenth key is substantially the same as that transmitted to the output sysem upon playing the first key.

Description

Aug. 12, 1958 L. HAMMOND CIRCULAR SCALE ELECTRICAL MUSICAL INSTRUMENT 2 Sheets-Sheet 1 Filed June 23, 1950 VALUES OF RESISTORS cowfiecrme I KEY-OPERATED SWITCHES TO GENERATORS 7 KEY (OHMS) c. c! o E. F F*6 6 A 5 c.
LOW MIDDLE HIGH OCTAVE OCTAVE OCTAVE GENERATOR GENERATOR GENERATOR 6 /-oo as g-fi Aug.'l2, 1958 HAMMOND 2,345,913
CIRCULAR SCALE ELECTRICAL MUSICAL INSTRUMENT Filed June 23, 1950 2 Sheets-Sheet 2 iii United States Patent CIRCULAR SCALE ELECTRICAL MUSICAL INSTRUMENT Laurens Hammond, Chicago, Ill., assignor to Hammond Organ Company, a corporation of Delaware Application June 23, 1950, Serial No, 169,901
6 Claims. (Cl. 84-1.01)
My invention relates generally to electrical musical instruments and more particularly to a method and apparatus for producing a novel effect in the perception of the pitch of musical tones.
It is generally stated that the apparent pitch of a com plex musical tone is determined by the pitch of the lowest frequency component of the tone. It is known that this is not strictly true. One known exception is that a complex musical tone having at least second and third harmonic components but no fundamental component is perceived by the listener as having the pitch of the absent fundamental.
I have discovered that a novel and very startling musical effect may be produced, for example, with a musical instrument adapted to provide musical tones that change in quality in a certain manner as the tones change in pitch. If the keys of an octave of such an instrument are depressed one after the other in a deliberate manner as in playing the chromatic musical scale, from low pitch to high pitch, each successive tone apparently has the pitch corresponding to the depressed key, and the series of tones apparently is that of the ascending chromatic scale. However, if after the twelfth tone of the octave has been played, the first is again sounded, the surprising fact is that the tone produced then seems to a listener to be of higher pitch than the twelfth tone.
The player thus may play an ascending scale in the same octave repeatedly and it is perceived by the listeners as a progression of tones of uninterruptedly ascending pitch. This illusion is very powerful, so much so that a listener hearing it for the first time is utterly perplexed and cannot believe his ears.
With an instrument embodying a variant of the invention, a person may play the ascending chromatic scale through two octaves of keys and find by comparing the last tone with the first that there is only one octave of pitch diiference between the two although, as the scale was played, each successive tone was apparently a semitone higher than the preceding tone.
The effects of playing a descending scale, as might be expected, are similar, in reverse, to the effects produced by playing an ascending scale. Each tone is apparently of lower pitch than the preceding one, but the thirteenth tone of the descending scale seems to be of lower pitch than the first tone sounded.
Broadly speaking these results are obtained by changing the quality of the tone slightly with each semitone for some or all of the semitone intervals of an octave, by progressively increasing the intensity of a low frequency tone component while at the same time progressively decreasing the intensity of a high frequency tone component as the pitch increases. The two tone components may difier in pitch by one or more octaves.
Thus an object of this invention is to produce a novel, unexpected musical effect.
A further object is to provide apparatus for combining tone components to provide a series of tones for producing a novel scale efiect whereby the tones sounded.
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in succession are perceived as a scale although the first and last notes of an octave have the same pitch.
A further object is to provide apparatus for producing a circular scale musical effect.
A further object is to provide apparatus for producing scale tones characterized in that the actual change in pitch over a given range is less than the apparen change- A further object is to provide apparatus for producing accompaniment musical tones.
A further object is to provide apparatus for producing accompaniment tones for a multi-octave musical instrument having playing keys, the number of different tones being less than the number of keys.
Other objects and advantages of this invention will appear from the following description together withthe drawings which disclose the details of illustrative cmbodiments of this invention in order that those skilled in the art may readily understand and practice its basic principles. ,A complete and concise statement of the patentable scope of this invention is set forth in the appended claims.
In the drawings, Figure 1 is a diagrammatic representation of an illustrative embodiment of this invention;
Figure 2 is a tabulation of illustrative resistance values of the resistors of Fig. 1;
Figures 3, 4 and 5 are diagrams illustrating the pri ciples of this invention;
Figure 6 is a diagrammatic representation .of a modified form of this invention;
Figures 7 and 8 illustrate tone wheel generators which may be employed as parts of the apparatus illustrated in Fig. 6;
Figure 9 illustrates a magnetic record reproducing mechanism which may form a part of the apparatus illustrated in Fig. 6.; and
Figure 10 is a diagram illustrating the principles of this invention.
By circular scale as used in this application, is meant a progressive change in tone quality throughout the range of one or two octaves whereby the lowest tone within the range are complex tones comprising a relatively low strength unison tone and a relatively high strength octave tone While the highest pitched tone within the range consists of a relatively high strength complex unison tone and a relatively low strength .octavely related complex tone, the intermediate tones within the range of an octave or two octaves being graded progress sively between the lowest and highest tones.
Fig. 1 illustrates a musical instrument having thirteen keys 10, the four typical keys 10 illustrated bein the three lowest and the highest pitched keys .10, designated as C3, C3#, D3 and C4.
Each key 10 has an operating connection with an individual middle octave switch 14, with arhigh octave switch 16, and, except for .the C3 and C4 keys 1 0, with a low octave switch 18.
A rank of twelve middle octave generators or sources 20 are provided, three representatives ,of which are illustrated, for producing scale tone signals differing by semitone pitch intervals and extending .over a musical octave beginning, for example, with the .note C3, 261.6 cycles per second (C. P. 8.), and progressing npward through C3# (277.2 C. P. 8.), D3 (293.7 C. P. 8.), ,and so forth.
Three high octave generators ,22 are illustrated as representative of a rank of twelve such generators 22 provided for producing tone signals one octave h gher in pitch than the signals produced by the correspondingly designated middle octave generators 2.0. Thus the generators 22 respectively designated C4, C4# and D4 :provide signals at 523.3 C. P. 8., 554.4 C. P. S., and 5873 C. P. S.
A rank of eleven low octave generators 24 are provided, two typical generators 24 being illustrated, for producing tone signals one octave lower in pitch than the signals from the corresponding middle octave generators 20. Thus the generators 24 respectively designated C24? and D2 produce signals at 138.6 C. P. S. and 146.8 C. P. S. No generator 24 of the pitch C2 is provided.
One output terminal of each of the generators 20, 22, 24 is grounded. One terminal of each of the switches 14, 16, 18 is connected with one end of a low impedance primary winding 26 of a transformer 28, the other end of'the winding 26 being grounded. The secondary winding 30 of the transformer 28 is connected with the input of an amplifier or output system 32. One end of the secondary 30 is grounded. The output of the amplifier 32 is connected with a speaker or translator 34.
The other terminal of each middle octave switch 14 is connected through an individual resistor R36 with the ungrounded terminal of the middle octave generator 20 having the same pitch designation. Thus, the C note switch 14 is connected with the generator 20 designated C3, the C# note switch 14 with the C3# generator 20, the D switch 14 with the D3 generator 20, and so forth. The switches 14 and resistors R36 may be regarded as parts of the respective generators 20.
In like manner, each of the high octave switches 16 is connected by an individual resistor R38 with the high octave generator 22 having the same pitch designation. Thus the C switch 16 is connected with the C4 generator 22, the C# switch 16, with the C4# generator 22,- and so forth.
Each of the low octave switches 18 is connected through an individual resistor R40 with the corresponding low octave generator 24, the C# switch 18 being connected with the C2# generator 18, and so on.
The resistors R36, R38, R40 regulate the amplitudes of the output signals from the generators 20, 22, 24. The values of R36, R38 and R40 should be large compared with the impedance of the transformer primary 26 and with the internal impedances of the generators 20, 22, 24. As indicated in Fig. 2, all the middle octave resistors R36 may have the same value, such as 39 ohms. The values of the high octave resistors R38 are graded, roughly in a geometric series, between a value such as 39 ohms for the C notes and 330 ohms for the B notes. The low octave resistors R40 are graded geometrically between values such as 330 ohms for the C# notes and 47 ohms for the B notes.
Illustrative values of R36, R38 and R40 are given in order that those skilled in the art may more readily grasp the fundamental principles of this invention. It will be understood that many other appropriate values may be employed.
If the C3 key is depressed, the associated switches 14 and 16 are closed and the C3 and C4 generators 20 and 22 are connected through R36 and R38 respectively to the primary 26 of the transformer 28 and thence to the output system 32. Thus the tones C3 at 261.6 C. P. S. and C4 at 523.3 C. P. S. are sounded simultaneously. Since, as shown in Fig. 2, R36 and R38 have the same values for this key 10, the tones have equal intensities, and an octave coupler effect is produced. The apparent pitch is that of the lower frequency C3 component.
If the C3 key 10 is released and the C3# key 10 depressed, the generators 20 (C3#), 22 (C4#) and 24 (C2#) are connected with the output system 32 through R36, R38 and R40 respectively and the three generators are concurrently sounded to produce a tone comprising three octavely related components. As seen in Fig. 2, the middle octave (C3#) component has the same amplitude as before since the values of all of the resistors R36 are the same, but the high octave component (C4#) has a slightly smaller amplitude than before because the value of R38 is about 20 percent greater. The amplitude of the low octave component (C2#) is very small be- 4 l cause of the relatively high value of R40. In fact, the amplitude of the low octave component is so small that the apparent pitch of the composite tone is that of the middle octave (C3#) component and the apparent pitch thus is higher than that of the preceding tone.
If the C3# key 10 is released and the D3 key 10 depressed, a tone comprising middle octave (D3), high octave (D4) and low octave (D2) components is sounded. It may be seen in Fig. 2 that the intensity of the low octave, component is slightly greater than before because of the smaller value of R40, and the intensity of the high octave component is decreased slightly because of the greater value of R38 while the intensity of the middle octave component remains the same as before. Since all three of the components have increased in pitch from the previous tone the apparent over-all pitch of the tone is increased also.
As the remaining keys 10 of the scale are successively depressed, in ascending order, the proportionate intensity of the low octave component progressively increases while the intensity of the high octave component progressively decreases. These progressive changes in intensity are clearly illustrated by the diagram of Fig. 3 in which the lowest arrows 50, drawn with light lines, represent the intensities of the low frequency component, the middle arrows 52, drawn with medium weight lines, represent the intensities of the middle octave component and the upper arrows 54, drawn with heavy lines, represent the intensities of the high octave component. As shown in Fig. 3, when the note B3 is reached the intensity of the low octave component is nearly as great as the intensity of the middle octave component while the intensity of the high octave component is reduced to a very small value. .The apparent pitch of this tone is that of the low octave component and is actually a semitone lower than the apparent pitch of the C3 tone which was first sounded. If the C4 key 10 is depressed the tone sounded is the same as that produced by the depression of the C3 key .10 but the tone seems to be higher in pitch than the preceding tone in the scale. With an instrument such as this the pitch of the tones seems to change in the normal manner from note to note as a scale is played, but the pitch of the last scale tone is the same as that of the first. Such a scale may aptly be termed a circular scale."
In Fig. l the components connected to the output by operation of a given key 10, taken together, may be regarded as a single source of a complex octave coupler type signal. For example, one such complex source comprises the components connected with the D3 key 10, including the D3 generator 20 and the associated resistor R36 and switch 14 which contribute the middle octave or fundamental signal component, the D2 generator 24 and the associated resistor R40 and switch 18 which contribute the low octave or suboctave coupler component, and the D4 generator and the associated resistor R38 and switch 16 which furnish the high octave or octave coupler component. The middle arrows 52 in the diagram of Fig. 3 may be regarded as indicating the percentage magnitude of the fundamental component, the lower arrows 50 the percentage magnitude of suboctave coupler, and the upper arrows 54 the percentage magnitude of the octave coupler. The fundamental com-- ponent has the same percentage amplitude for all the tones of the scale but the suboctave coupler effect increases progressively from tone to tone in ascending order and the octave coupler effect decreases progressively from tone to tone.
The principles of this invention may be applied in many difierent ways to provide a considerable variety of apparatus capable of producing difllerent but basically similar musical results. Fig. 4 illustrates one such variation. A polar diagram is shown in which the arrows 60 originating at the origin or center of the diagram represent the intensities of a low octave or suboctave tone component and the outer arrows 62 terminating at a circular envelope line 63 represent the intensities of a high octave or fundamental tone component. The two components may differ in pitch by a single octave. The diagram illustrates how the components may be combined to produce a circular scale effect. The tone A comprises the fundamental component only. A small amount of the suboctave component is introduced into the tone Ali to produce a suboctave coupler effect and the fundamental component is reduced slightly so that the total amplitude remains constant. The magnitude of the suboctave coupler effect increases progressively through the tones B, C, Cit, D, Dtt, E,, F, Fit, G and Git while the magnitude of thev fundamental component progressively decreases, as indicated by the diagram. For tones such as Fit, G and Git the intensity of the suboctave coupler component. is considerably greater than that of the fundamental component, and the suboctave component tends to dominate the tone and to determine the apparent or subjective pitch. The tone Git has a lower subjective pitch then the tone A because the suboctave component which dominates the tone G4 is one semitone lower in pitch than the fundamental component which dominates the tone A.
With the aid of the disclosure herein, those skilled in the art will readily be able to devise an apparatus for producing a scale of tones having the qualities illustrated in Fig. 4. For example the apparatus of Fig. 1 may readily be modified to provide such a scale of tones by omitting the generators 24, the resistors R40 and the switches 13 and by changing the values of the resistors R36 and R38. The generators 22 may be utilized tov furnish. the fundamental components and the generators 20, to furnish the suboctave coupler components. A generator is not required to produce the tone A since a generator 22 produces the fundamental component which comprises the entire tone.
The diagram of Fig. 4 has been drawn in polar form inv order to illustrate the aptness of the name circular scale and to show that the change in tone quality from tone to:tone is so gradual that the tones may be sounded in. succession without unusual discontinuities in pitch. If the tones are sounded in ascending order beginning with any of the tones, they are perceived as a regularly ascending scale although there is no net change in pitch over a complete octave of tones.
Fig. 5 shows another illustrative. application of the fundamental principles of this invention. of. the diagram is similar to that of Fig. 3, the lower arrows 70, drawn with light lines, representing the amplitudes of a suboctave tone component and the upper arrows 72, drawn with heavy lines, representing the amplitudes of afundamental tone component. As shown, the circularization of the scale is accomplished through a range of only four tones rather than acomplete octave. The tones C, Cit, D, Dtt and E consist entirely of the fundamental component. If they are successively sounded the first five tones of an orthodox chromatic scale are heard. The tones F, Fit, G and Git comprise both the fundamental and. suboctave components, the suboctave component furnishing about 10 percent of. the intensity of the tone F, 25 percent of the intensity of the tone Fit, 56 percent ofv the intensity of the tone G and 75 percent of the intensity of the tone Git. The. remaining tones A, At. and B consist entirely of the suboctave component. If the twelve tones are sounded in succession there is a slight change of quality between the tones Ev and F, but the change isso small that it is hardly perceptible and the pitch seems to rise a normal. semitone between the two tones. Likewise there is a change. in quality between the F and Fit tones, but the change from 10 percent to' 25 percent suboctave coupler eifect is so slight as to be hardly perceptible and the illusion of increasing pitch ispreserved. The same is true of the changes in quality between the tone Fit and G, G and Git, and Git and A. Although the. actual pitch of the tone A is lower than The scheme that of the tone E, a powerful illusion of increasing pitch is produced if the tones B through A arev successively sounded because the change from the fundamental range to the suboctave range is accomplished so gradually.
Fig. 6 illustrates how the circular scale principle may be applied to provide accompaniment tones for a multioctave keyboard type electrical musical instrument. It will be apparent to those skilled in the art that a circular scale instrument is not well adapted to play solo melody parts in which large intervals of pitch change are encountered because the circular scale illusion depends upon the successive sounding of adjacent tones as in playing a chromatic or diatonic scale. However, a circular scale instrument may be employed as an accompaniment section of an instrument which also comprises a solo. section. Both the solosection and the accompaniment section may be operated by a single keyboard, or separate keyboards may be employed. Only the accompanh ment section of such an instrument is shown in Fig. 6 and the solo section may he of any desired construction.
The seven playing keys illustrated in Fig. 6 represent the keys of a four octave instrument. Each of the keys 80 has an operating connection with a switch 82. One terminal of each of the switches 82 is connected by means of a collector bus-bar 84 to an input terminal 86 of an amplifier or output system 88 having a low-impedance input, and the other input terminal 90 of the amplifier is grounded. The output of the amplifier 88 is connected to a speaker or other output device 92. Twelve generating systems or sources 94 are provided to pro-- duce tones corresponding with the twelve musical notes of an octave. Three representative. generators 94 designated C, C# and B are illustrated.
One output terminal 93 of each generator is grounded. Each of the switches 82 is connected through an individual resistor R to the ungrounded terminal 95 of one of the generators 94, all of the C switches 82 being connected to the C generator 94, all of the C# switches 82 to the C# generator 94, and so forth. By this connection a plurality of octaves of keys may be served by a single octave of generators.
The generators 94 are designed to provide tones having different tone qualities so that the circular scale effect is produced when the keys 80 are successively depressed. For example, each generator 94 may comprise a plurality of oscillators, somewhat as illustrated in Fig. I, adjusted to produce high, low and middle octave components in the proportions suggested in Fig. 3, the amplitude of the low octave component increasing and the amplitude of the high octave component decreasing as an ascending scale is played. Alternately, each generator 94 may comprise oscillators to produce fundamental and suboctave components in the proportions indicated either in Fig. 4 or in Fig. 5.
Figs. 7 and 8 illustrate another modified construction of the generators 94. According to this modification the generators are of the type shown in the patent to Laurens Hammond, No. 1,956,350 entitled Electrical Musical Instrument, including magnetically permeable tone or phonic wheels which rotate adjacent permanent magnets 109 having pickup coils 111. Figs. 7 and 8 illustrate such tone wheels which are adapted to produce circular scale tones.
Each of the generators 94 may include a tone wheel 112 suchas that illustrated in Fig. 8. Sixteen notches or undulations 114, 116 and 118 are equally spaced around the periphery of the tone wheel 112. The notches 114, having azimuths of 0, 90, 180 and 270, are of vari able depth; the four notches 116, having azimuths of 45, 225 and 315, are of an intermediate or medium depth such as inch and the remaining notches are of small depth such as inch. In the tone wheel 112 forming a part of the C generator 94 the notches 114 have the same depth as the notches 116. This. particular tone wheel is illustrated in Fig. 7. In the tone wheel 112 forming a part of the B generator 94 the notches 114 have a depth such as %2 inch which is considerably greater than the depth of the notches 116. The notches 114 in the tone wheel 112 for intermediate note generators 94 are graded in depth between these extremes, the notches 114 becoming progressively deeper for the higher pitched notes. Thus the notches 114 in the C# phonic wheel 112 are slightly deeper than those inthe C tone wheel 112, the notches 114 in the D tone wheel 112 are slightly deeper than those in the C# tone wheel 112, and so forth.
The phonic wheels 112 are rotated at different speeds to produce differently pitched signals. The speed of the phonic wheel 112 forming a part of the C generator 94 is the lowest and the speed of the phonic wheel forming a part of the B generator 94 is the highest.
When the notches 114 are the same depth as the notches 116, as illustrated in Fig. 7, the tone wheel generator 94 produces a tone signal having fundamental and octave components, the fundamental component being due primarily to the deeper notches 114 and 116 and the octave component being due primarily to the shallower notches 118. When the notches 114 are deeper than the notches 116 the tone wheel generator produces a tone signal having a suboctave component (with its harmonics) in addition to the fundamental and octave components (with their respective harmonics). The suboctave component becomes greater and greater relative to the fundamental and octave components when the notches 114 are made deeper and deeper than the notches 116. Thus the tone produced upon depression of the C1 key 80 has fundamental and octave components of approximately equal intensities. The tone produced by the depression of the C1# key 80, has a small suboctave component, but the suboctave coupler effect is so slight that the C1# tone is heard as having a higher pitch than the C1 tone. As an ascending scale is played the suboctave component gradually dominates the tones so that the B1 tone is heard as having the pitch of the suboctave component. The C2 tone, which has the same pitch and quality as the C1 tone, then has a higher apparent pitch than the B1 tone. The same circular scale is repeated if the succeeding octaves of keys 80 are successively depressed.
The provision of an accompaniment section employing the circular scale principle effects a substantial reduction in the number of accompaniment generators required for a multioctave instrument. Accompaniment chords and simple counter-melodies may be played with the circular scale accompaniment section with pleasing musical results. In addition, the circular scale effect may be utilized to produce novel melodic and accompaniment effects which are impossible with a conventional musical instrument.
The simultaneous depression of more than one octavely related key 80 produces additive effects because of the provision of an individual decoupling resistor R100 for each key switch 82. Thus, if the C1 key 80 is depressed, closing the Cl switch 82, a tone signal from the C generator 94 is transmitted through the C1 resistor R100 to the output system 88. Simultaneous depression of the C2 key 80, closing the C2 switch 82, provides an additional path through the C2 resistor R100 from the C generator 94 to the output system, and the C tone is sounded with additional intensity.
Fig. 9 illustrates another modified form of the generators 94 of Fig. 6. According to this modification each generator may comprise a record 120, which is illustrated as a magnetic wire, together with apparatus adapted to reproduce the signals recorded upon the record 120. Such apparatus may include a supply spool 122, a take-up spool 124 and a pick-up or transducing element 126 having output terminals 93 and 95 corresponding with the similarly designated output terminals of the generators 94 in Fig. 6. Any ofv the many well-known types of records and re- 'ments described herein.
producing apparatus may be employed. Each of the records may be impressed with a tone signal having octavely related components proportioned according to the principles of this invention. High, low and middle octave tone components may be combined according to the arrangement illustrated in Fig. 3 or, if desired, fundamental and suboctave components may be combined according to either of the arrangements illustrated in Figs. 4 or 5, for example.
The tone signal components for recording upon the record 120 may be derived from any desired sources.
Fig. 10 illustrates a further application of the principles of this invention in which the pitch changes one octave over a two octave range of notes. In the diagram, the lower arrows 130, drawn with light weight lines, represent the amplitudes of a suboctave component, the middle arrows 132, drawn with medium weight lines, represent the intensities of a fundamental tone component and the upper arrows 134, drawn with heavy lines, represent the intensities of an octave tone component. The lowest tone C comprises fundamental and octave components having approximately equal amplitudes. introduced into the next tone C# and the amplitude of the octave component is correspondingly reduced so that the total amplitude remains unchanged. The amplitude of the suboctave component becomes greater and the amplitude of the octave component correspondinglysmaller with each successive tone taken in ascending order through two octaves until with the twenty-fifth one octave difference in apparent pitch between the high-' est and the lowest C tones although the scale seems to" ascend through a full two octaves of tones because of the very gradual introduction of the suboctave component; No unusual discontinuities in pitch or tone quality are heard as a scale is played.
It will be apparent to those skilled in the art that the I principles of this invention may be applied advantageously to produce a starting circular scale effect. Moreover, by utilizing the principles of this invention a muiti-octave musical instrument may be produced having only a single octave of accompaniment tone sources. This arrangement has the considerable advantages of simplicity and economy.
In some of the accompanying claims designation of the keys is by number, merely for clarity of definition of the invention, the numbers themselves being only of relative significance.
. While I have disclosed this invention by describing and explaining certain illustrative embodiments, it will be understood by those skilled in the art that the principles of this invention may be applied in many alternative and equivalent ways to provide structures which may differ in their details from those of the illustrative embodi- Therefore, I wish to include within the scope of the appended claims such modifications and variations.
I claim:
1. An electrical musical instrument for playing a circular scale; comprising a plurality of scale tone signal sources including individual phonic wheels having a plurality of equally spaced notches, said notches being alternately deep and shallow, an output system coupled with said sources, and a plurality of playing keys connected with said sources for sounding said sources individually, said sources including a group of sources comprising phonic wheels having said deep notches which are alternately very deep and less deep, said very deep notches of the sources of said group in ascending order being progressively deeper and deeper.
2. In an electrical musical instrument having an output system including an electroacoustic translating means,
A small amount of the suboctave component is the combination of a plurality of playing keys, a plurality of sources of electrical musical tone signals of pitches corresponding to successive semitone intervals of the tempered musical scale, and means operable by the keys to cause substantially dilferent tone quality signals to be transmitted from the sources to the output system, the quality of the tone signals being characterized by having sub-octave partials of progressively increasing amplitude as an ascending chromatic or diatonic scale is played.
3. The combination set forth in claim 2 in which the quality of the tone signals is additionally characterized by having unison partials of progressively decreasing amplitude as an ascending chromatic or diatonic scale is played.
4. The combination set forth in claim 2 in which the quality of the tone signals is additionally characterized by having unison partials of substantially constant amplitude, and by having octave partials of progressively decreasing amplitude as an ascending chromatic or diatonic scale is played.
5. The combination set forth in claim 4 which includes a series of at least twenty-five successive semitone 10 6. The combination set forth in claim 2 which includes a series of at least thirteen successive semitone keys and in which the quality of the tone signal transmitted to the output system upon playing of the thirteenth key is substantially the same as that transmitted to the output sysem upon playing the first key.
References Cited in the file of this patent UNITED STATES PATENTS 1,665,331 Thomson Apr. 10, 1928 1,893,250 Severy Jan. 3, 1933 2,165,707 Jacobs July 11, 1939 2,221,814 Reid Nov. 19, 1940 2,227,068 Curtis Dec. 31, 1940 2,227,100 Manatt Dec. 31, 1940 2,229,755 Manatt Jan. 28, 1941 2,250,065 Koehl July 2, 1941 2,485,751 Larsen Oct. 25, 1949 2,505,182 Haller et a1. a Apr. 25, 1950 2,506,723 Larsen May 9, 1950 2,598,132 Pattyn May 27, 1952 OTHER REFERENCES Publication: The Science of Musical Sounds, by Miller, pp. 192 through 198; copyright 1916, MacMillan Co., New York.
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US2971420A (en) * 1958-03-14 1961-02-14 Lowrey Organ Company Electrical musical instrument
US3740449A (en) * 1971-06-24 1973-06-19 Conn C Ltd Electric organ with chord playing and rhythm systems
US3813474A (en) * 1972-08-25 1974-05-28 Wurlitzer Co Electronic musical instrument circuit
US4333376A (en) * 1977-08-15 1982-06-08 Norlin Industries, Inc. Apparatus for reinforcing notes selected by more than one key

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US2971420A (en) * 1958-03-14 1961-02-14 Lowrey Organ Company Electrical musical instrument
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