chapter_20_text
c20p71
Our discussion has reached a point where we are able to answer a question which first arose in the course of our study of the four ethers, and which arises here anew.
chapter_20_text
chapter_20_text
chapter_20_text
c20p88
It has been the error of Newton and his successors up to our own day, to try to conceive the world dynamically within the limits of their spectator-consciousness and thus to form a dynamic interpretation of the universe based on its heliocentric aspect. This was just as repellent to Goethe as Kepler’s attitude was attractive.
chapter_20_text
c20p107
Further, by having the various times of its members thus tuned to one another, our cosmic system shows itself to be ordered on a principle which is essentially musical. To see this, we need only recall that the musical value of a given tone is determined by its relation to other tones, whether they sound together in a chord, or in succession as melody. A ‘C’ alone is musically undefined. It receives its character from its interval-relation to some other tone, say, ‘G’, together with which it forms a Fifth. As the lower tone of this interval, ‘C’ bears a definite character; and so does ‘G’ as the upper tone.
chapter_20_text
c20p30
In these six forms of astral activity, observation, if guided by modern spiritual science, recognizes the characteristics of the six planetary spheres, known as ‘Moon’, ‘Mercury’, ‘Venus’, on the one hand, ‘Saturn’, ‘Jupiter’, ‘Mars’, on the other. In the same way the dynamic sphere of the ‘Sun’ is found to provide the astral activity which mediates between the two groups of planetary spheres.5 The following observations may help us to become familiar with the different modes of activity of the force-spheres.
chapter_20_text
c20p15
This is an aspect which was by no means unfamiliar to ancient man. It was naturally lost when the onlooker-consciousness awoke. In this respect it is of historical significance that the same man, G. A. Borelli (1608-79), a member of the Florentine Academy, who was the first to inquire into the movements of the animal and human body from a purely mechanical point of view, made the first attempt to deduce the planetary movements from a purely physical cause.3 Through this fact an impulse comes to expression which we may term Contra Animam, and against which we have to put our Pro Anima, in much the same way that we put our Pro Levitate against the Contra Levitatem call of the Florentine Academicians.
*
chapter_20_text
c20p34
If the activity of the Saturn-force is most clearly manifest in the formation of the hard skull, that of Jupiter, the planet of ‘Wisdom’, is shown in the formation of the complicated structure of the brain, which enables it to co-ordinate the bodily and psychic functions of the entire man. In the realm of physical nature, man’s brain is indeed the most perfect example of cosmic Intelligence at work in a manner resembling that activity of human intelligence which one usually understands by ‘organizing’.
chapter_20_text
c20p53
By this term in acoustics is understood a property possessed by sound apart from pitch and volume, and dependent on the nature of the source from which a tone is derived. It is the tone-colour by which the tone of a violin, for instance, is distinguished from a tone of equal intensity and pitch produced by a flute. Similarly, two musical instruments of the same kind are distinguished from each other by tone-colour.
chapter_20_text
c20p72
In studying the chemical or sound ether we were faced with the fact that part of the etheric realm, although in itself accessible to the spiritual part of the sense of sight, offers supersensible experience comparable to the perception of sound. Conversely, we are now met by the fact that it is spiritual hearing which gives access to the immediate perception of a realm of forces which is not only the source of acoustic phenomena, but the origin of all that manifests in nature in the form of sulphurous, saline and mercurial events, such as the world of colours, electricity, magnetism, the manifold rhythmic occurrences on the earth (both taken as a whole .and in single organisms), etc. – all of which are taken hold of by quite other senses than that of hearing.
chapter_20_text
c20p89
But by so sharply distinguishing between Newton and Kepler, do we not do injustice to the fact that, as the world believes, Kepler’s third law is the parent of Newton’s law of gravitation? The following will show that this belief is founded on an illusory conception of the kind we met before. As we shall see, Kepler’s discovery, when treated in a Keplerian way, instead of leading to Newton, is found to be in full agreement with the very world-picture to which our own observations have led us.
*
chapter_20_text
c20p108
Now we know that each interval represents a definite ratio between the periodicities of its two tones. In the case of the Fifth the ratio is 2:3 (in the natural scale). This means that the lower tone receives its character from being related to the upper tone by the ratio 2:3. Similarly, the upper tone receives its character from the ratio 3:2. The specific character of an interval arising out of the merging of its two tones, therefore, is determined by the ratio of their ratios. In the case of the Fifth this is 4:9. It is this ratio, therefore, which underlies our experience of a Fifth.