"Each higher force sends its rays in the form of a long, continuous series to all the lower ones coordinated with it, and on the other hand, the lower can reach the higher, passing through all the individual stages. The lower is so connected with the higher that its influence extends to the most extreme points of the series, similar to how a cord swings all over if you touch only its end." [Cornelius Agrippa]
This spontaneously created series of secondary and tertiary (etc.) waves will harmonize (sympathize) on a few or many of these derived or developed pitches with similar pitches in any other series resulting from any other fundamental tone/vibration/oscillation.
Harmonic Pendulum Motions
See Also
1.23 - Power of Harmonics through Summation Tones
9.8 - Spontaneous Creation of Harmonic Series
9.9 - Sympathy or Harmony Between Harmonics or Overtones
Differentiation
Figure 8.5 - Summation Tones
Harmonic
Interval
Law of Harmonic Pitch
Law of Harmonic Vibrations
Overtone
Overtone Series
Overtones Developed Musically
Newton of the Mind
Resultant Tone
Scale
Sympathetic Vibration
Sympathy
Undertone