| Colour Theories | |||||||||||||||
Colour Intervals: |
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Applying Concepts of Musical Consonance and Dissonance to Colour |
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by Katherine Lubar |
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An
edited version of this article was published in the May 2004
edition of the journal Leonardo
(Vol. 37, No. 2) |
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As I have been a painter and a musician for most of my life, I have constantly been on the lookout for correlations between visual art and music, perhaps to bring together these two seemingly separate halves of my life. Often, studying one form of artistic expression can inform another; I found when studying music, I developed a greater understanding of painting, one example being that of unifying motifs which one often finds reappearing throughout a musical composition but which can also be found visually in paintings — shapes or lines that appear in different guises (ie, inverted, bigger, smaller, etc). Because of this, I have always been curious as to whether there were other elements in music that could be applied to the visual arts. In this instance, I would like to examine relationships between colour and music, a topic that is by no means new and which has had many theories applied to it over the centuries. Artists such as Kandinsky, Klee and Vantongerloo; composers such as Scriabin, Berlioz and Debussy; and scientists such as Newton, Kepler and Helmholtz have all explored links between colour and music. Kandinsky associated the sounds made by certain instruments with certain colours in Concerning the Spiritual in Art [1] published in 1911. Klee used temporal and rhythmic aspects of music in his paintings [2]. The poet Goethe felt that both colour and music are both ‘referable to a higher formula… like two rivers which have their source in one and the same mountain.’[3] Newton, Helmholtz and Scriabin tried to find a correlation between individual musical notes and hues on the colour wheel. [4] I initially spent some time exploring this avenue of matching colour with pitch. Both sound and colour can be expressed as waves, which can be measured in Hertz, so it seemed obvious to try to match these up. The scientific definition of dominant wavelength links any colour to a single wavelength of light. Both light and sound may be described using a common relationship derived from wave physics: |
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Speed
(measured in metres per second) = Frequency (in beats per second,
or ‘Hertz’)
times Wavelength (in metres) |
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| The traditional colour wheel/hue circle used in most Western art schools today is the pigment or mixing wheel originally developed by Johannes Itten. | ||
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Fig.
1: Colour Wheel |
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This colour wheel
uses subtractive colours, meaning the pigments in an object cause
it to absorb certain light waves and reflect others [5].
It contains 12 colours: Red, Red-Orange, Orange, Yellow-Orange, Yellow,
Yellow-Green, Green, Blue-Green, Blue, Blue-Violet, Violet and Red-Violet
just as the modern day Western musical scale has 12 semitones: C,
C#/Db, D, D#/Eb, E, F, F#/Gb, G, G#/Ab, A, A#/Bb, B. Colours can be categorised by their brightness, with yellow being the brightest and violet the least bright, so I applied this hierarchy to the melody, assigning the highest note to yellow and the lowest to violet, painting out the stripes of colour as before. This seemed to work a little better than the first experiment — there seems to be something in the value scale that can relate to melodies — however, I didn’t think it was a complete success. There is something in the nature of each colour that gives it a specific character; whereas a melody can be transposed to different parts of the keyboard and still retain its character. So I concluded that it’s not possible to create a system that assigns a note to each colour and have that work in terms of expressing a similar aesthetic feeling. My
next idea was to compare the visual effect of colour intervals with
the aural effect of musical intervals, an idea that had, centuries
before, been put forward by Aristotle in his De Sensu et Sensili. In music, one is taught early on that certain intervals are ‘harmonious’ and that others are ‘discordant’[8]. The idea of what is harmonious or discordant in Western music has not changed a great deal over time, although the rules governing the use of discordant intervals have. For example, the monks in the middle ages allowed the tritone — the most discordant interval of all — to be used in certain combinations of notes but in the Renaissance, it was dubbed the ‘devil’s interval’ and its use became forbidden. A
modern definition of what makes an interval consonant or dissonant
describes its stability [9]. The consonant intervals
produce a feeling of stability, while the dissonant intervals create
a feeling of activity or tension. One can recall this in the works
of the 19th century Romantic composers, who started to use the dissonant
intervals to create a feeling of tension in order to heighten dramatic
effect. The more dissonant an interval, the more one is given the
feeling of movement — of seeking a release from the tension.
This release is achieved by the culmination of the musical idea in
a consonant interval. Of course, some later composers did away with
the resolution of the dissonance into a consonance altogether, and
preferred to let the tension remain in the air, or even used the
juxtaposition of a stronger and weaker dissonance so that the stronger
resolved into the weaker, making the latter sound almost consonant.
For the purposes of this paper, I shall use the current categorisation
of consonances and dissonances, as found in recent Western music
theory textbooks [10]. Musical intervals are counted by how many semitones they span. |
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Fig.
2: The intervals in a Western musical scale |
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| Minor 2nd (m2) = 2
semitones Major 2nd (M2) = 3 semitones Minor 3rd (m3) = 4 semitones Major 3rd (M3) = 5 semitones Perfect 4th (P4) = 6 semitones Tritone (T) = 7 semitones Perfect 5th (P5) = 8 semitones Minor 6th (m6) = 9 semitones Major 6th (M6) = 10 semitones Minor 7th (m7) = 11 semitones Major 7th (M7) = 12 semitones Octave (8ve) = 13 semitones |
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One can figure out
the interval between two colours by counting the distance of colour-semitones
they span on the colour wheel. For example, the interval between Yellow
and Red would be a Major 3rd as there are 4 steps between them (as
in music, one includes the notes/colours on either side of the interval). If we take the colour Red, its intervals are as follows: |
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| Red—Red-Orange
= m2 Red—Orange = M2 Red—Yellow-Orange = m3 Red—Yellow = M3 Red—Yellow-Green = P4 Red—Green = T Red—Blue-Green = P5 Red—Blue = m6 Red—Blue-Violet = M6 Red—Violet = m7 Red—Red-Violet = M7 Red—Red = 8ve or unison |
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Because the colour wheel is circular, the interval between two colours can be counted in either of two directions. In colours with similar tonal values (meaning how light or dark a colour appears), the interval perceived will be the one with the smallest distance between the two colours on the wheel. Thus, what is counted as a Minor 6th in one direction (for example, Red—Blue) will be counted as a Major 3rd in the other direction (Blue—Red). Therefore, in colours of similar tonal value, any interval above the tritone — the interval that marks the middle of the octave — is purely theoretical and will be inverted. In music, intervals
can be inverted and I think it’s possible to apply this principle
to the colour wheel. On the keyboard, we can invert an interval of
an octave or less by bringing the lower tone up an octave or the
upper tone down an octave. The numerical size of an interval plus
that of its inversion add up to 9. Minor inverts to major and vice
versa and Perfect intervals always stay Perfect. The intervals and their inversions are as follows: |
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| m2 — M7 M2 — m7 m3 — M6 M3 — m6 P4 — P5 T — T P5 — P4 m6 — M3 M6 — m3 m7 — M2 M7 — m2 P8 — P1 (unison) |
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Each interval has a similar sound to its inversion and this is also true for the colour intervals and their inversions. The only way to perceive one of the larger intervals without inverting it is if there is a strong contrast in tone. In Patrick Caulfield’s ‘ Kellerbar’ of 1997, he places an extremely pale yellow next to a dark forest green. If the tonal values had been similar, the interval would be perceived as a Major 2nd but as they are so disparate, it is felt as a Minor 7th. The contrast in tonal value has created enough distance to give you a feeling of distance on the colour wheel. Thus tonal value plays an important role in the interpretation of the intervals between colours. |
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Now I would like to examine some colour intervals and see if they bear any relation to their musical counterparts. The
Minor 2nd In painting, the Minor 2nd does not appear overly dissonant, but is perhaps not very interesting or appealing as far as intervals go, as it has the least amount of contrast; However, when it is used in conjunction with another colour that is more spaced out on the colour wheel it can be very effective. And this is a combination that can be found frequently in painting — a Minor 2nd with a more distant interval, as it achieves both subtlety and contrast — you might even say harmony and dissonance — at the same time. |
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Fig.
3: Shapes. The Red and Red-Orange in this painting constitute an
interval of a Minor 2nd. This is considered a dissonant interval
in music and it is not a strong colour combination. It works in
this painting, because
the Blue provides a
contrast, giving it a
more balanced feeling. |
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It is similar to the Minor 2nd in music in that it is not the most pleasing colour combination and it usually requires some additional treatment, such as the introduction of another colour to make it work harmoniously; but it depends on the desired outcome — perhaps a dissonant effect is what is required in a painting, as it might often be in music, in which case it can be used on its own. One can also achieve an interesting effect with a Minor 2nd by using contrast in a different area, such as in light and dark. However, this could be interpreted as a Major 7th, depending on how strong the contrast is. |
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Fig.
4: Morning. The Red-Violet and Violet would normally equate to a
Minor 2nd
but because of the strong contrast in tone, they could be perceived as a Major
7th. |
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| Minor 2nds: | ||
| Red—Red-Orange Red-Orange—Orange Orange—Yellow-Orange Yellow-Orange—Yellow Yellow—Yellow-Green Yellow-Green—Green Green—Blue-Green Blue-Green—Blue Blue—Blue-Violet Blue-Violet—Violet Violet—Red-Violet Red-Violet—Red |
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| The Major 2nd | ||
One half-step larger than a Minor 2nd, the Major 2nd has similar characteristics,
although it is not a particularly strong dissonance musically and is a bit
less subtle when used in colour. |
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| Major 2nds: | ||
| Red—Orange Red-Orange—Yellow-Orange Orange—Yellow Yellow-Orange—Yellow-Green Yellow—Green Yellow-Green—Blue-Green Green—Blue Blue-Green—Blue-Violet Blue—Violet Blue-Violet—Red-Violet Violet—Red Red-Violet—Red-Orange |
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The
Minor 3rd In painting, the Minor 3rd is a lovely combination; harmonious, but still fairly subtle, as it is not a very great leap. There is something of the feeling of ‘sadness’ or ‘gentleness’ that occurs in the musical equivalent. |
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| Fig. 5: Prison Hallway. The Red-Violet and Blue constitute a Minor 3rd, although this could also be perceived as a Major 6th because of the tonal contrast. There is a feeling of subtlety and sadness that also appears in the musical equivalent. | ||
| Minor 3rds: | ||
| Red—Yellow-Orange Red-Orange—Yellow Orange—Yellow-Green Yellow-Orange—Green Yellow—Blue-Green Yellow-Green—Blue Green—Blue-Violet Blue-Green—Violet Blue—Red-Violet Blue-Violet—Red Violet—Red-Orange Red-Violet—Orange |
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The
Major 3rd The Major 3rd colour combination does indeed appear ‘cheerful’; the spacing of the colours on the colour wheel provides ample contrast, and constitutes a harmonious pairing. |
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| Fig. 6: Opening. This major 3rd combination of blue and yellow has a 'cheerful' quality, similar to a musical 3rd. This quality can also be found in other 3rd colour combinations. | ||
Major 3rds: |
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| Red—Yellow Red-Orange—Yellow-Green Orange—Green Yellow-Orange—Blue-Green Yellow—Blue Yellow-Green—Blue-Violet Green—Violet Blue-Green—Red-Violet Blue—Red Blue-Violet—Red-Orange Violet—Orange Red-Violet—Yellow-Orange |
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The
Perfect 4th In painting, the Perfect 4th — along with its inversion the Perfect 5th — is found frequently. It is just one step away from being a complementary interval (the exact opposite on the colour wheel), and thus creates movement within the colours — as they strive to reach their true complements. This striving, I believe, can often be more effective in painting than actual complements. |
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| Fig. 7: Light in Corridor. The pink operates as a Red and is a Perfect 4th away from the Turquoise. The Red-Orange of the background is a Minor 2nd from the Pink/Red and this is a very common use of colour in painting - to have a distant interval such as a 4th or 5th in combination with a Minor 2nd. | ||
| Perfect 4ths: | ||
| Red—Yellow-Green Red-Orange—Green Orange—Blue-Green Yellow-Orange—Blue Yellow—Blue-Violet Yellow-Green—Violet Green—Red-Violet Blue-Green—Red Blue—Red-Orange Blue-Violet—Orange Violet—Yellow-Orange Red-Violet—Yellow |
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The
Tritone Colour-wise, the
equivalent to the tritone is the complementary of a colour. This
is the most difficult interval to relate to its musical equivalent,
as in music it is considered the most dissonant and in painting the
most consonant. But perhaps these are merely two sides of the same
coin. The complementary colour combination is the most striking;
it jumps out at you. And the same can certainly be said for the harsh
Tritone. The Tritone has been used effectively in many contemporary
musical compositions — it contains a great amount of energy
and dynamism. Alan Wells, who has written a number of papers on colour
and music, noted that, ‘chords built on tones at this interval
of the tritone or half an octave, when played in succession, had
a startling and contrasting, yet stimulating and pleasing, effect
similar to the effect of complementary colours when placed side by
side.’[13] |
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| Fig. 8: Double Window. This is not an exact Tritone, but is very close. The Red-Orange and slightly greenish Blue reinforce each other and create a somewhat jarring effect, which is not dissimilar to the Tritone in music. | ||
One
principle I can’t
help having noticed while doing this research is that the closer an
interval gets to the tritone, the more interestingly/harmoniously it
works as a colour combination. The tritone does appear to have some
kind of magnetic effect on the colours around it — pulling them
towards it, creating movement — which makes me think that there
is some justifiable link to its musical equivalent. |
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| Tritones: | ||
| Red—Green Red-Orange—Blue-Green Orange—Blue Yellow-Orange—Blue-Violet Yellow—Violet Yellow-Green—Red-Violet Green—Red, etc... |
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The
Perfect 5th In painting, the Perfect 5th operates much like the Perfect 4th but it seems to have even more of a balanced feeling. In order for it to be experienced, there must be a contrast in the tonal value of the two colours and this is, in my opinion, where the stronger feeling of balance comes from. [17] It is like the Perfect 5th in music in that it has possibly the highest consonance in painting — more so than the Perfect 4th because of the extra tonal contrast. However, the further apart the intervals get on the colour wheel, the more subjective their interpretation becomes as they may be more easily perceived as their inversion — the interval that is created by going in the other direction around the colour wheel. |
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| Fig. 9: Manhattan. The Perfect 5th is one of the highest consonances in both music and colour. The reason the eye sees the Yellow and Red-Violet as a Perfect 5th rather than a Perfect 4th is because of the sharp contrast in tone. | ||
| Perfect 5ths: | ||
| Red—Blue-Green Red-Orange—Blue Orange—Blue-Violet Yellow-Orange—Violet Yellow—Red-Violet Yellow-Green—Red Green—Red-Orange Blue-Green—Orange Blue—Yellow-Orange Blue-Violet—Yellow Violet—Yellow-Green Red-Violet—Green |
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The Major
and Minor 6ths In colour, there is a strong feeling of polarity, partly achieved by the contrast in tone but also through a difference in character of the two colours, as they are so far apart on the colour wheel. If there is not enough contrast, a minor 3rd will be perceived. |
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| Minor 6ths: | ||
| Red—Blue Red-Orange— Blue-Violet Orange—Violet Yellow-Orange—Red-Violet Yellow—Red Yellow-Green—Red-Orange Green—Orange Blue-Green—Yellow-Orange Blue—Yellow Blue-Violet —Yellow-Green Violet —Green Red-Violet—Blue-Green |
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| Major 6ths: | ||
Red—Blue-Violet |
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The
Major and Minor 7ths In art, they are the inversion of a Major or Minor 2nd so perception of a 7th will depend on a very strong tonal contrast. If it is perceived, a sharp contrast will be felt, that lends itself to a sharpened mood and increased tension in the work. [See Fig 4] |
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| Minor 7ths: | ||
| Red—Violet Red-Orange—Red-Violet Orange— Red Yellow-Orange—Red-Orange Yellow—Orange Yellow-Green—Yellow-Orange Green—Yellow Blue-Green—Yellow-Green Blue—Green Blue-Violet—Blue-Green Violet—Blue Red-Violet—Blue-Violet |
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| Octaves To create octaves in a painting, a colour would have to be present in differing tonal variations, for example, as a dark blue and a pale blue. This creates a feeling of spaciousness that is similar to the musical octave. However, it is debatable whether the comparison works in terms of quality of consonance, as in music the octave is considered to be the most consonant interval, and in painting, although it is consonant, it is not the most interesting colour choice. But perhaps this is not so different after all: in music, although the octave is the most consonant, this does not make it the ‘strongest’ of intervals in terms of what is pleasing to the ear. It may be more stable but aurally, I find the perfect 4th or 5th or even a 3rd or 6th much more engaging. |
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| Triads The intervals I have discussed so far have been pairs. What would happen if we combined triads of colours, as in a musical chord? Let us take a traditional minor chord. This chord encompasses the base note and a minor 3rd and Perfect 5th above it. If we take Red-Orange as our base note, a 3rd up from that would be Yellow and a 5th from Red-Orange would be Blue. |
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| Fig. 10: Bright Day. If we apply the wavelength method of determining the starting colour of this 'chord', we have Orange-Red—Yellow—Blue, which equates to a Minor triad. However, if we use the tonal method, we would get Blue—Yellow—Orange-Red, a traditional major chord. | ||
However, as I
said before, one is more likely to perceive a smaller colour interval
than a larger, so the Perfect 5th (Blue) may be seen as a Perfect
4th (creating a perceived chord of scale degrees 1,3,4 instead of
the traditional 1,3,5). The other problem is the question of which
colour is perceived as the ‘starting’ colour of the chord
and which direction on the colour wheel one chooses to follow. What
if one started the chord with Blue, going in the direction Blue,
Red-Orange, Yellow? This would create a chord with the scale degrees
of 1,4,6, which equates to a Perfect 4th followed by a Minor 6th.
However, if one follows the other direction, Blue, Yellow, Orange-Red,
a traditional major chord is obtained (Major 3rd, followed by Perfect
5th). As to which colour to use as the starting ‘base note’,
most people are likely to choose the darkest colour to correlate
to the lowest note and the lightest colour to correlate to the highest
note. Looking
at Fig.10 above, I can see a good argument for using the wavelength
method to determine the order of colours. The strong Red-Orange does
appear to be the base note and the Yellow next to it gives the feeling
of the interval of a third. The Blue seems to be the weakest colour
in the composition (not counting the black), demanding the least
attention, so it seems to fit into the category of the 5th, providing
a resounding backdrop for the Red-Orange. The black helps to heighten
the effects of the other colours but does not affect the hue relationships
between them. [18] |
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| Because of the complexity involved in deciding on the direction from which intervals are counted, analysing a combination of more than two colours seems to be too great an endeavour to be able to fully devote enough time to in this paper. There are many paintings that feel ‘chordal’ but their intervals don't fall into the traditional Major and Minor sequences and this requires further analysis. Therefore I shall halt my exploration here with the hope of coming back to it at a later date when it can be given the attention it deserves. | ||
| Conclusion After comparing the colour intervals to their musical counterparts, I do feel they share something in common — the colour intervals don’t have the same character as each of the musical intervals, but both seem to follow a similar pattern in terms of which work harmoniously and which don’t. In addition, I have realized, from this research, the importance of the element of contrast to both visual and musical compositions. So while these correlations may not all work on a practical level, they can at least give us a greater understanding of colour on a more metaphorical level. The idea of correlating colour intervals to musical intervals could possibly provide a new method of examining the way colour is used in visual compositions. It is worth analysing paintings that work well colourwise, to see how their intervals relate in terms of consonance and dissonance. I would invite the reader to apply the principles outlined in this paper to such works and to use their own perception of colour to investigate these ideas further. |
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| References and Notes | ||
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1. Wassily Kandinsky (translated by M.T.H. Sadler), Concerning the Spiritual in Art (New York: Dover Publications, Inc., 1977, originally published 1911). (back to article) 2. See Hajo Düchting (translated by Penelope Crowe), Paul Klee — Painting Music (New York: Prestel-Verlag, 1997). (back to article) 3. Goethe, Johann Wolfgang von. (translated by Charles Eastlake) Theory of Colours, (Cambridge: MIT Press, 2002; originally published London: John Murray, 1840), pp. 298-299. (back to article) 4. It is commonly believed that the reason Newton divided the visible light spectrum into seven colours was to correspond to the seven notes in the musical scale. (back to article) 5. As I am writing this paper with the intention of it being of use to artists, I have focused on subtractive colour, which is based on the effects of coloured pigments. Additive colour, on the other hand, is the process of mixing coloured light. With additive colour, the more that colours are mixed, the lighter they become, whereas in subtractive colour, the more colours are mixed, the darker they become as less light gets reflected. (back to article) 6. Newton and Scriabin as well as some of the other theorists also started their colour/music scales with Red correlating to the note C. (back to article) 7. Quoted in Goethe’s Theory of Colours, see above p. 418. (back to article) 8. Some non-Western cultures have different concepts of consonance/dissonance as well as different tuning systems than the ones we are accustomed to in the West. However, for the purpose of this paper, I have focused on Western music and the equal-tempered tuning system, which equalises the distance between each note of the scale. (back to article) 9. E. Aldwell and C. Schachter, Harmony and Voice Leading (New York: Harcourt Brace Jovanovich, Inc., 1978) pp. 22-26. (back to article) 10. Ibid. (back to article) 11. The perfect 4th has had rather a chequered past and has been thought of as both a consonance and a dissonance at different times throughout musical history. It is even now sometimes categorised as a dissonance when it is used in certain ways. For the purposes of this paper I have kept it in the consonant category as it acts as a consonance when being played on its own (and not in the context of a melody). For further discussion of the 4th, see the later section on the Perfect 4th. (back to article) 12. I have not included the augmented and diminished intervals here as they have the same actual sound as the more conventional intervals, but are called augmented or diminished according to how they relate to and within the particular key they are played and therefore are not practically relevant to this kind of analysis. (back to article) 13. A. Wells, “Music and Visual Colour: A Proposed Correlation”, Leonardo 13, 101, (1980). (back to article) 14. Michel-Eugène Chevreul investigated this idea thoroughly in his seminal work, The Principles of Harmony and Contrast of Colors and their Applications to the Arts (New York: Reinhold Publishing Corp, 1967). However, Leonardo da Vinci was actually the first person to write about this effect. He called complementaries ‘direct contraries’ and described how they intensify each other when seen side by side in his Treatise on Painting. This later came to be known as ‘simultaneous contrast’. (back to article) 15. Albert Munsell developed an entire colour wheel system based on afterimages. His primaries — Yellow, Red, Green, Blue and Purple — have as their complementaries those colours seen as afterimages to the primaries: respectively, Blue-Violet, Blue-Green, Red-Violet, Orange and Yellow-Green. It might be informative to look again at the musical interval comparison using the Munsell colour wheel instead of the subtractive 12-hued colour wheel as I have done. The reason I have not used his colour wheel for my own research is that it incorporates 20 hues, which would not match up to the 12 steps in the musical scale. (back to article) 16. When a string is plucked, the fundamental note that sounds also contains overtones of other scale degrees that sound in varying degrees of audibility. These overtones enrich the sound of the fundamental, creating barely audible harmonies. (back to article) 17. In Goethe’s Theory of Colours, he remarks on the ‘peculiarly grateful sensation’ one has when viewing chiaroscuro paintings — which emphasise the light and dark tones. This is, according to him, to do with a physiological characteristic of the eye seeking a ‘simultaneous impression of a whole’. (Ibid, p.13) (back to article) 18. In regards to the colours white and black, they can be of use in the reflecting, enhancing and ‘framing’ of the other colours but I do not believe they will have an effect on the ‘colour intervals’ apart from this. They can at times provide much needed contrast (especially when white is used near dark colours and black near light) and be used to delineate and thus make more forceful the shapes in a work of art. They are often used to give the colours around them more vibrancy and to provide an added dimension to a composition. (back to article) |
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| General Bibliography/Further Reading | ||
| Albers, Josef. Interaction
of Color (New Haven: Yale University, 1963). Davis, James W. “A Response to W. Garner’s Observations on the Relationship between Colour and Music”, Leonardo 12, 218 (1979). Feisner, Edith Anderson. Colour: How to Use Colour in Art and Design (London: Laurence King Publishing Ltd, 2001). Gage, John. Colour and Culture: Practice and Meaning from Antiquity to Abstraction (Boston: Little, Brown & Co., 1993). Gage, John. Colour and Meaning: Art, Science and Symbolism (London: Thames & Hudson Ltd, 1999). Garner, W. “The Relationship between Colour and Music”, Leonardo 11, 225 (1978). Helmholtz, Hermann von (Edited by James P.C. Southall, translated from the 3rd German Edition of 1909. Treatise on Physiological Optics, Vol. II (New York: Dover, 1962). Itten, Johannes (translated by Ernst van Hagen). The Elements of Color (London: Chapman & Hall, 1970). Newton, Isaac. Opticks or A Treatise of the Reflections, Refractions, Inflections & Colours of Light (New York: Dover, 1979; based on Newton’s fourth edition: London, 1730). |
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| Figures | ||
| Fig.1:
Colour Wheel Fig.2: Intervals in a Western musical scale Fig.3: Minor 2nd - ‘Shapes’ Fig.4: Minor 2nd - ‘Morning’ Fig.5: Minor 3rd - ‘Prison Hallway’ Fig.6: Major 3rd - ‘Opening’ Fig.7: Perfect 4th - ‘Light in Corridor’ Fig.8: Tritone - ‘Double Window’ Fig.9: Perfect 5th - ‘Manhattan’ Major & Minor 7ths Fig.10: Triads - ‘Bright Day’ Conclusion References Bibliography |
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of the images on this site are protected by International Copyright
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