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last update:
11 Feb 2004
Resonance
Where vibrations are, resonance can happen. The encyclopaedia gives: "relatively
large selective response of an object or a system that vibrates in step or phase,
with an externally applied oscillatory force." Resonance was first investigated in
acoustical systems such as musical instruments and the human voice. Mechanical resonance,
such as that produced in bridges by wind or by marching soldiers. Somewhat analogous
resonance exists on the nuclear scale. This occurs when atoms or their nuclei respond
to the application of various magnetic fields by emitting or absorbing electromagnetic
radiation of radio and microwave frequencies. Resonance in electrical systems makes
it possible for certaincommunication devices to accept signals of certain frequencies
while rejecting others.
On a separate page, you find a summary of what Ibrahim Karim
told during a seminar about resonance. The story about "The Caveman" given by him
is a nice illustration of resonance.
An interesting book (in Dutch) about resonance
in nature is that of Hans Andeweg. It covers resonance in a broad sense and related
subjects.
Resonance can occur between different types of vibrations such as between
colour and sound. Colour is an electromagnetic vibration that can transfer energy
in a vacuum, without a medium. Sound waves (compressional waves) are much slower
than light waves.
In this figure you find the theoretical relationship between sound and colour. Starting
from sound frequencies the frequencies within the visible light spectrum were calculated.
Note that the visible spectrum covers slightly less than 1 octave, whereas the human
hearing (depending on its quality) covers 5 -
You can have resonance between colours like we have resonance between two notes.
If you put a red object here and a red object there, they might enter into a sort
of resonance.
For instance between the people wearing red, there might be a certain energy resonance.
Imagine that all of you are the same notes in different octaves, so you would enter
into a sort of resonance. Resonance between colours is a new concept. This is an
important aspect you could try out. Or you could take it a bit further and go into
resonance with geometrical shapes. (See also the page about sounds, colours, metals
and geometry).
Similar shapes have similar energy movements around their peripheries.
This gives all types of boundaries a certain type of qualitative power. In our bodies
similar shapes of organs means that there is resonance or interaction between them.
This energy interaction, through resonance, produces a type of information exchange
between the different organs. To say it in different words: two similar geometrical
shapes mean two similar motions of energy inside of you, and similar motions of energy
might talk together. When we enter into the language of shape we have to understand
some of those rules. Some of the organs in our body could be in connection through
resonance just through geometrical shape. Think for example that organs that have
a similar shape could be in resonance with each other. Let us say the ear and kidney.
Some forms of Chinese medicine will show you that there is a relationship between
the ear and the kidney. Maybe in traditional medicine it is not very obvious but
in geometrical shapes things like that could well exist.
On the page about health
you will find more information/thoughts about resonance.
relationship between angle and colour
From the "cone fictive" pendulum you can see a relationship between angle and colour.
At the lowest point the angle for negative green is about 110 degrees for the horizontal
component and 105 degrees for the vertical component.
In the plot on the left you
see the reciprocal value of the angle (1/angle) on the vertical axis. The horizontal
axis gives the colours -
So each
colour or each angle has both a negative and a positive component. That gives rise
to the following questions:
- What about the intermediate colours or angles. Do they have also a negative and positive component?
How are colours defined? For example in the picture of a part of the visible spectrum:
where is exactly the position of green, blue and indigo? 
If we consider only the angles: how has been determined that angle A should have
the values as used with the pendulum? - Angle B, determined by the position where the fingers hold the cord, is also important. There are three knots in the cord for the measurements. Is the angle B also relevant for the measurement of vertical or horizontal?
tone
B
violet
yellow-
A
indigo
orange-
G
blue
orange-
F
green
violet-
E
yellow
violet
D
orange
light blue
C
red
green
These data differ from what is given elsewhere (see below). On a separate page this is worked out in more detail. However, as somebody said: "The best way is to follow your own intuition for YOU" if you want to find the right combination between colour and sound.