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"The time has come for my retirement, don't forget to dream and reach for the invisible."
"You will be touched ..."
   Christopher

Last Update 12.25.07

Theremin Observations
A Theremin Journey of Discovery  


"Dedicated to the theremin pioneers that searched for more."

This Theremin Marvel is Lev's Gift
& a Law of Physics

 Matching the Piano Keyboard 12.25.04

C1 to C4 are spaced with perfect linearity at three 6 1/2" (16.5 cm) wide octaves

Sine Sweep with an ending Trill, try to hear the depth in the rate of the linearity
Deep Sine Trill 
(119k) -  OR -  trill-keyboard.mp3 (65k)  over 6 octaves at a 40" linear distance
 Make the Ultimate Antenna    <=Perfect linearity "is" accomplished with Lev's Antenna and this is how I made it.
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"The LINKS antenna phenomenon is the reason these RS Theremin WebPages had to exist, to reveal a better understanding of the "Termen Effect", to demonstrate Lev's concept of his polyphonic theremin and most important the fulfillment of one mans dream." 
Christopher

"LINKS"  Linear Interval of Notes with Keyboard Spacing  (Theremin notes matching the exact repeat of a piano's key spacing)

Linear Theremin Antenna Behavior  by Christopher

The mechanism used to swing the theremin's pitch (sound) is assumed by most to be "Hand Capacitance" between the antenna, the player and ground.  Lev remained silent and avoided expanding on this incomplete assumption. This kept "Perfect Linear Pitch"  (LINKS)  hidden where fortunately today in the 21st Century he reveals it in the most unexpected way.  

Why has this perfect linearity (LINKS) phenomena gone unnoticed?  Did Lev Termen have an odd sense of humor or was he possibly cautious about his involvement with RCA?  LINKS "Linear Interval of Notes with Keyboard Spacing" a perfect theremin.
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The Termen Effect 


Explore Lev's Antenna, for perfect linear theremin pitch response (LINKS) of up to five octaves. 
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"Beyond 4 inches (10cm) the belief that hand capacitance controls theremin pitch is a factoid."
This hand-capacitance misnomer is used for a simple and logical way to explain things!

Beyond 4 inches (10cm) theremin pitch variations are caused from changes in the "radiation resistance". This is the total RF electro magnetic power radiated divided by the square of the net current flowing into the antenna, that causes the RF radiation. Can hand-capacitance be demonstrated as not logical?  Make the $10 Lev Antenna and I will tell you how to adjust the pitch antenna to create the intervals of the higher notes next to the antenna wider than notes on the outside 18" away from the antenna, the low notes. This all exists in the same continuous pitch field, in reverse of what hand-capacitance logic would dictate.

 Also RF hand hoop volume controls can have a better response range using the Lev antenna tuning principles.

Proper energy distribution and polarization of the antenna's radiation field creates perfect linearity.

The number of playable linear octaves is determined by the amount of energy from the pitch oscillator driving the pitch antenna, not the antenna design specifically.

Three components influence what is occurring "within" the pitch antenna. These are inductance, capacitance and resistance. It is difficult to distinguish them from one another at high frequencies as their behaviors tend to blur together.

The closer your hand is to the pitch antenna the denser the available radiating energy. The theremin players hand/arm has less resistance than the air space and the pitch hand absorbs energy into the Thereminist neutral body mass which behaves as a "neutral reservoir" positioned within the emanating RF radiation field. Your body's ability to charge is demonstrated when you scuff your feet on the carpet then get an electric shock when touching the kitchen faucet.  Just as the earth is a neutral reservoir to electrical charge so is your body mass in a much smaller sense.

It is important for the theremin to have a good earth ground, this fact is more important than grounding the Thereminist!
If the theremin earth ground is poor you will hear distortion in the wave shape of  theremin pitch.  The theremin RF relies on weak return ground currents and uses the earth ground as part of the antenna system to accomplish this.

As the Thereminist hand approaches the pitch antenna, an increase in the
energy transfer occurs which allows for an increase in the net current flow into the antenna.  This decreases the "capacitance-reactance Xc" of the L1 antenna side pitch oscillator. This decreased  capacitance-reactance has the same effect as increasing the capacitance in the LC of the pitch oscillator on the pitch antenna side. The end result is the theremin tone goes higher, simple eh? 

Theremin RF energy transfers near the speed of Light, "instantaneous change" not really an energy flow.

Dual LC oscillators that are typically used in a theremin, tuned to the same frequency with the coils in proximity and loosely coupled to one another will lock into synchronization, lightly we hope. This creates the "null point" where no theremin sound is heard. Both oscillators are operating as usual, it is just there is no difference in operating frequency which is the first step in beating out the theremin tone.

This is also the
"zero point" where the difference in the reactance Xc & XL of both oscillators and their component reactance equal zero. The moment of breaking the null point is where the theremin demonstrates its maximum sensitivity. It could respond to your neutral body mass over two meters away or lets say 6' to 8'. (Not very useful for music. lol)

The Theremin's audio frequency (sound) is the frequency difference of the two RF oscillators.  

This overall process of heterodyning allows for controlled audible musical tones, the Termen Effect.

When perfect pitch linearity occurs
(LINKS) it's Lev's gift to you. . .  Clara's voice with transistors is a gift to me.

 
by Christopher

Air space implies remoteness from material objects that could influence the propagation of electromagnetic waves but includes air and humidity; which effect theremin behavior.

Theremin radiation energy (Radio Waves) is absorbed through your hand into your body mass  which acts as a reservoir collecting the RF energy expanding into the air space from around the antenna. This is why your large body mass behind your pitch hand has little effect on the pitch. Most of the available energy is already absorbed through your forward hand closer to the antenna. Observe the energy fingers in one of those neon gas globes.

"A theremin operated in the vacuum of outer space would continually transfer it's maximum energy through it's dual electrical/magnetic equilibrium, so the proximity of your hand would not have any effect on the pitch. Also with no air no sound (-'  ."

If the fixed high frequency oscillator is operating at 1,000,500 hz and the pitch antenna oscillator is pulled down to 1,000,060 hz the result is a secondary 440 hz waveform heard as a tone. 

This secondary 440 hz waveform can be seen imposed upon the outside edge of the main oscillator frequency (carrier) using an oscilloscope. The audio tone is detected and separated from the modulated waveform using a diode. This very weak audio frequency is then amplified. 440 hz = note A4. 

Most of the theremin sound or wave shape, especially the lower frequencies are based upon the effective beating of the two magnetic fields through loose coupling angles in the coils. Diode detection is used to separate the audio from the RF. It is after diode detection that other natural analog circuitry is used to enhance the sound.

Notes of Interest: 

A critical point to mention is the transistor junctions, which are affected by temperature change. This is the main culprit that causes "pitch drift". Construction imbalances in the two oscillators like one having a trimmer capacitor and the other not or certain unmatched component tolerances will make the circuit more susceptible to drift. Pitch drift is mostly due from temperature change or power supply  fluctuations. This is why you should regularly check your tuning  during a playing session. The oscillators can move away from their "null point", caused predominately from capacitance changes in the circuit components as they expand or contract due to temperature or voltage change. (Using matching components in the oscillator section is always the best!)
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If you're an RF Enthusiast and you experiment with the unique Lev Antenna, I would like to post your opinion why Lev's perfect linearity occurs. Your clarity or a "different" perspective would be greatly appreciated. Christopher 02.01.07
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Excellent Read
Mark Barton's 

Observation of Antenna Linearity
 
(07.20.07)

Why has this perfect linearity (LINKS) phenomena gone unnoticed?  Did Lev Termen have an odd sense of humor or was he possibly cautious about his involvement with RCA?  LINKS "Linear Interval of Notes with Keyboard Spacing"

theremin@oldtemeculaX.com  <=Remove X from your Email Address 


RS Theremin Conclusion:
  The Ultimate 2 operates as a basic AM Radio Transmitters with a tuned control antenna and a complimentary beat frequency oscillator. Radio waves radiate from an electrically excited antenna, and ripple outwards near the speed of light. The controlled external transfer of energy travels across the air (dual electrical/magnetic equilibrium)  which has a direct effect on the "radiation resistance" within the antenna. This has a direct effect on the "capacitance reactance" of the pitch oscillator. This is not some circular path from the theremin => to the Thereminist => to the ground => back to the theremin. This is electro-magnetic energy transferring out the theremin antenna forever!

Anyone who has sincerely explored the hand-capacitance theory soon realizes the math breaks down.
 As a matter of fact you begin to fudge, then close your eyes and assume the pieces of the puzzle fit.


All of my webpages are a collection of my thoughts and what I have observed. Though I demonstrate several 
phenomena's, some will remain unexplained so others might enjoy searching for treasure in the sandbox.
   Christopher

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Her name is Simplicity. The circuit board is mounted under the center bracket. 

Simplicity
Up Close & Personal


The full height of the vertical bamboo area has linear behavior.

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Yes, this can be done!

"Placing note A2 just under thirteen inches (33 cm) distance from A4 is ordinary, but to place note A3 dead center between them is a law of theremin physics that startled me when it revealed itself. Interestingly, Lev has held this marvel of Linear Interval of Notes with Keyboard Spacing "LINKS" close to the vest." Christopher  12.25.04 

The Ultimate Antenna

As you move your own fingers forward on the paper keyboard strip in the picture, all 24 notes, three octaves C1 138.6 hz - C4 1108.7 hz will measure "perfect" when validated with a pitch tuner. You can still go beyond A5 3.52 khz approaching the antenna.
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(C1) C2 246.9hz - C5 2093hz can also match 6.5" Linear Interval of Notes with Keyboard Spacing "LINKS". This line of play is directly at the pitch antenna. 01.07.05

This Lev Antenna works in a perfectly tuned balance with my Ultimate 2; which is a "true heterodyne theremin" operating at 1000 kHz.

An Original Relaxed Theremin Sound
rstheremin_pure_voice3.mp3 (238k)

 

More information & photos on making Lev's Ultimate Antenna: 

 The Ultimate Antenna
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"Those of you that read the "Vision" and wondered where all this was heading over the past year, for me it has been the journey few experience in their lifetime. There are no words that capture the "Vision". The main theremin components are now revealed on my WebPages. Have a wonderful and creative New Year my friends". Christopher  12.25.04