Using these numbers below, one can assume a sympathetic vibration is occurring at a "mathematically resonant frequency", or a "mathematically resonant wavelength”
Delta: 0.1 to 3 Hz. The Delta level is normally associated with a deep dreamless sleep, trance state, and non-REM type of sleep: 1.00 Hz Feeling of well-being; pituitary stimulation to release growth hormone; overall view of inter-relationships.
Theta: 3 to 7 Hz. The Theta level is normally associated with recall, fantasy, imagery, creativity, inspiration, future planning, dreaming, switching thoughts, and drowsiness. 3.50 Hz Feeling of one with everything; accelerated language retention. 5.50 Hz Moves beyond knowledge to knowing; shows visions of growth needed. 6.30 Hz Mental and astral projection; accelerated learning and increased memory retention.
Alpha: 7 to 13 Hz. The Alpha level is associated with a non-drowsy but relaxed, tranquil state of consciousness, primarily with pleasant inward awareness; body/mind integration. 7.00 Hz Mental and astral projections; bending objects; psychic surgery. 7.50 Hz Inter-awareness of self and purpose; guided meditation; creative thought for art, invention, music, etc.; contact with spirit guides for direction. 7.83 Hz Earth resonance (Beck). 8.00 Hz Level for past life regression. 8.30 Hz Pickup visual imagery of mental objects. 9.00 Hz Awareness of causes of body imbalances and means for balance. 10.50 Hz Frequency to go for healing of the body; mind/body connection; firewalking. 12.00 Hz Centering; frequency of earth resonance (Hercules - a researcher).
Beta: 13 to 30 Hz. The Beta level is associated with outward awareness, the taking in and evaluating of various forms of data received through the senses; it is present with worry, anger, fear, hunger, and surprise. 13.00 Hz - 30.00 Hz is the NORMAL awakened, daily functioning state.
High Beta: 30 to 500 Hz. The High Beta level is not associated currently with any state of mind. Some effects have been observed, but currently not enough research has been done in this area, to prove, or disprove, anything. 35.00 Hz Awakening of mid-chakras; balance of chakras. 55.00 Hz Tantric yoga; stimulates the kundalini. 63.00 Hz Astral projection. 70.00 Hz Mental and astral projection. 80.00 Hz Awareness and control of right direction. 83.00 Hz Third eye opening for some people. 90.00 Hz Good feelings; security, well being, balancing. 105.00 Hz Overall view of complete situation. 108.00 Hz Total knowing. 120.00 Hz - 500.00 Hz P.S.I.; moving of objects, changing matter; transmutation