Ramsay
An elongated uniform body, e.g., a dressed lath of pine, has three primary centers - the center of gravity, the center of oscillation, and the center of velocity. The center of gravity is the center of the body; the center of oscillation is at two-thirds from the end as the point of suspension; the center of velocity is at two-thirds of one-third from the end, i.e., at two-ninths from the end as the point of suspension. [Scientific Basis and Build of Music, page 92]
"This elongated body suspended at the end, or at one-third from the end, the oscillations are the same. The one-third above the point of suspension so balances the two-thirds below that the oscillations are performed in the same time for both suspensions. When it is suspended at two-thirds of the one-third. i.e., one-ninth of the whole length above the center of oscillation, one-ninth above balances two-ninths below; the oscillating part is thus, as it were, one-ninth shorter than at the center of oscillation, and gives rise to the center of velocity." [Scientific Basis and Build of Music, page 92-93]
are always when they have returned to the side from which they were started. The Pendulographer, also, when writing the beautiful pictures which the musical ratios make when a pen is placed under the control of the pendulums, always finds his figure to begin again when the pendulums have finished their period, and have come for a fresh start to the side from which the period began. This confirms our author's definition of an oscillation of a pendulum. Fig. 3 is an illustration of the correct definition of a Musical Vibration, as also given in this work. Although the definition of an oscillation is not identical with that of a vibration, yet on account of their movement in the same ratios the one can be employed in illustration of the other as we have here done. Fig. 4 is a uniform rod suspended from the end as a pendulum; it will oscillate, of course, at a certain speed according to its length. In such a pendulum there are three centers related in an interesting way to the subject of Music in its three chords - subdominant, tonic, and dominant, which roots are F, C, and G. The center of gravity in the middle of the rod at 2, suspended at which the rod has no motion, corresponds to F, the root of the subdominant, in which there is the maximum of musical gravity. The center of oscillation at 3, which is one-third of the length of the rod from the end, is like the root of the tonic whose number is 3 in the genesis of the scale from F1. In this point of suspension the oscillations are the same as when suspended from the end at 1. The point at 9 is at a ninth from the center of oscillation. Our author discovered that, if suspended at this point, the pendulum had its highest rate of speed. Approaching the end, or approaching the center of oscillation from this point, the rate of speed decreases. Exactly at one-ninth from the center of oscillation, or two-ninths from the end, is this center of velocity, as Ramsay designated it; and it corresponds in some sort also to the root of the dominant G, which is 9 in the genesis of the scale from F1; its rate of vibration is nine times that of F1. The dominant chord is the one in which is the maximum of levity and motion in music. [Scientific Basis and Build of Music, page 105]
See Also
center of gravity
center of oscillation
center of velocity
centers
centers of association and concentration
central centers
cerebral centers
DISINTEGRATION OF MATTER - THREE SYSTEMS
Figure 10.05 - Three Orthogonal Planes where Six Gyroscopic Vortices Converge
Figure 11.02 - Infinite Neutral Mind Centers and Controls All Motion
Figure 12.06 - Mind Centers and Controls Motion
Figure 13.09 - Primary Emanations from within Dynaspheres
Figure 13.23 - Three Actuators on Shaft and Black and White Coatings
Figure 15.04 - Gravity Generates Matter about Neutral Centers
Figure 17.01 - Dynamical Gravitative Centers
Figure 19.16 - Keelys Levitation Experiment Showing Three Glass Jars with Weights
Figure 2.1.5 - Russells Rings forming Spheres from Three Pairs of Reflecting Mirrors
Figure 20.05 - Primary Emanations or Energy Flows
Figure 3.7 - Accumulating to Center on Three Planes
Figure 4.10 - Pulsating to and from Centers Orthogonally
Figure 4.11 - Six Planes and Three Shafts Coincide to Produce Spheres
Figure 4.9 - Pulsating to and from Centers Orthogonally
Figure 5.2 - Centers of Swirls are High Tension while Swirl Periphery are Low Tension
Figure 5.4 - Vortex and Gyroscopic Motion on One Plane then on three forming Sphere
Figure 5.7 - Vortices on Three Planes 90 Degrees to Each Other
Figure 6.14 - Triple Three Cubes
Figure 6.7 - Perspective of Tetrahedral Apices at Concentrative Centers
Figure 7.11 - Russells Vacuum becoming Matter on Three Vectors
Figure 7.13 - Keelys Chart showing how Molecules are made of three Atoms
Figure 9.1 - Sympathy Connecting Neutral Centers
Figure 9.7 - Two Centers Showing Complex Attraction Dynamics
Figure 9.8 - Triple Centers
independent centers
Keelys Three Systems
KEELYS THREE SYSTEMS - Snell
Mind centers motion
Mind-centers of stillness
Multiple Centers study
neutral centers of aggregation
order of threes
Part 04 - Rotation on Three Planes
Part 05 - Three Rotating Planes Become Spheres
polarized gravity centers
Primary
primary shaft of gravity
terrestrial centers
terrestrial centers of attraction
terrestrial focalized centers
THEORY OF THE INDUCTION OF SYMPATHETIC CHORDS TO EXCITE ROTATION BY VIBROPHONIC TRAJECTION TO AND FROM CENTERS OF NEUTRALITY ON REVOLVING GLOBE
This Three Dimensional Cube Universe of Nine
Three
three chords
three chords of three notes
three currents
Three Laws of Being
Three Main Parts of a Wave
three notes
three phases of action
three poles
three sympathetic streams
three-dimensional dual action universe
three-halves power law
Three-node transmitter
Three-phase electric power
Triple Centers
two centers
zero centers of the cathodes
10.07 - Centers of Mutual Attraction
12.03 - Russell scale divisions correspond to Keelys three-way division of currents
12.05 - Three Main Parts of a Wave
12.06 - Mid-Tones and Neutral Centers
13.38 - Theory of the Induction of Sympathetic Chords to Excite Rotation by Vibraphonic Trajection to and from Centers of Neutrality on Revolving Globe
14.02 - Three Six and Nine - The Principles of Creation
3.16 - Neutral Centers as Points of Action
4.3 - Three Planes and Six Directions
7B.02 - Three Forces in Harmony
9.18 - Atoms as Sympathetic Centers
9.19 - Centers of Force
9.21 - Dynamic Centers
9.22 - Multiple Excited Centers
9.25 - Keplers Three Laws
9.7 - Neutral or Focal Centers