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RS Theremin - Observations

 

 

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Theremin Linearity is Lev's Gift

& a Law of Physics

 Matching the Piano Keyboard 12.25.04
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Perfect linearity "is" a tuned phenomenon which develops around Lev's Antenna

 Explore Lev's Antenna
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"The LINKS antenna phenomenon is the reason the RS Theremin WebPages have to exist, to reveal a better understanding of the "Termen Effect", to demonstrate Lev's concept of his polyphonic theremin.mp3 (246k) and most important the fulfillment of one mans dream." 

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

The Termen Effect

There are so many fascinating fundamentals of nature that come together in the simplicity of heterodyne theremin design, Lev Sergeyevich Termen was chosen to make these discoveries!
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"Beyond 4 inches (10cm) the belief hand capacitance alone controls 
the RF heterodyne theremin pitch is a
factoid."

The hand-capacitance notion "has been" used as a simple way to explain things!

"There are true hand capacitance controlled theremins in the digital realm, but they lack sensitivity to aerial fingering and will require you to use your entire palm for control."

Beyond 4 inches (10cm) RF heterodyne theremin pitch variations are caused from changes in the "radiation resistance". This is the total RF electro-magnetic power radiated from the pitch antenna divided by the square of the net current flowing into the pitch antenna. The pitch field is a dual electrical/magnetic equilibrium, not just a capacitive field as so commonly state.

Here are some suggested reasons why perfect linearity develops.

Can pure hand-capacitance be demonstrated as not always logical?
  

Make a $10 "Lev" LC tuned antenna and it will reveal that the note intervals of the higher octaves next to the antenna can be made wider than the low notes near the outside 18". This is in reverse of what the pure hand-capacitance logic would demonstrate.

The "LC" tuner with a tightly coiled tunable antenna coil design are the main features that give you a perfectly linear pitch field.

How many linear octaves can be available for play?
 
This is determined by the amount of energy developed in the pitch oscillator and "Radiated from the Antenna". Three linear octaves is common but with good design over five.

Three components influence what is occurring around the pitch antenna. These are inductance, capacitance and resistance. In the "RF heterodyne theremin", pitch change does occur by variations in pitch oscillator capacitance but not from your hand acting like a capacitor plate. It is the loading effect of your hand near the pitch antenna which changes the capacitance reactance of the pitch oscillator. 

"Pure hand capacitance is involved in the RF heterodyne theremin
 model but it does not work alone!"

Below talks about your standard un-tuned theremin and then a uniquely tuned one.

The closer your hand is to an un-tuned pitch antenna of a heterodyne theremin the denser the available radiating energy. The energy in the heterodyne theremin pitch field is "extremely" low. The Thereminist neutral body mass is a good "neutral reservoir" to absorb this energy from the emanating RF radiation.  The theremin players hand/arm has less resistance than the air space and the forward pitch fingers absorb energy into your body mass. 

Your body's ability to absorb a charge is demonstrated when you scuff your feet on the
 carpet then get an electric shock when you touch the kitchen faucet. 

The heterodyne theremin must have a good earth ground,  not the Thereminist!

If the theremin earth ground is poor you will hear distortion in the wave shape of  the RF heterodyne generated theremin tone.  The theremin RF relies on weak ground currents and uses the earth ground as part of the antenna system.

As the Thereminist hand approaches an un-tuned 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 slightly increasing the capacitor value in the LC circuit of the pitch oscillator. The frequency now goes lower as it feeds more current into the pitch antenna. As the pitch side oscillator goes lower the theremin tone goes higher as the pitch oscillator frequency moves lower, away from the reference oscillator frequency. The theremin tone is the difference of the two RF oscillators, simple so far, eh?

In a tuned theremin pitch antenna the overall LC tuning design "regulates" with perfect linearity, relative to a musical scale, how much energy radiates from the pitch antenna into the theremin pitch field.

Heterodyne theremin RF energy transfers near the speed of Light. 
"It is an instantaneous change" not really an energy flow.


Dual LC oscillators that are typically used in a RF heterodyne theremin, tuned to the same RF frequency with their two coils in proximity will influence one another's wave shape.

Very loosely coupled, the oscillators will lock into synchronization. This creates the "Null Point" where no theremin sound is heard. 

The Null Point is also the "zero point" where the reactance Xc & XL of both oscillators equal zero when both their frequencies match. The moment before the theremin locks onto the null point is where the theremin demonstrates its maximum sensitivity. A well tuned RF heterodyne theremin antenna can give a response to your neutral body mass over two meters away or lets say 6' to 8'. (This distance is quite remarkable for such a low energy field, but not very useful for music.)

The RF heterodyne theremin's audio frequency (sound) is the diode detected or mixed AM frequency difference of the two RF oscillators after breaking out of the Null Point.


This process of heterodyning or beating the oscillators and your interaction in the theremin RF electro-magnetic pitch field creates:

 The controlled audible musical tones known as the "Termen Effect".

When perfect pitch linearity occurs (LINKS) it's Lev's gift for you. . .  

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

The RF heterodyne theremin normally needs a good earth ground which can be achieved with a theremin using a three prong plug to the wall for power or at the theremin Audio-Output connected to a power amplifier that uses a three prong plug with a ground. 

RF heterodyne theremin energy radiated is attracted to your fingers because it is the path of least resistance. Your body mass acts as a neutral reservoir to absorb the RF energy from the air space surrounding the antenna. Notice your larger body mass behind your pitch hand has little effect on the pitch. The pitch field energy between you and the pitch antenna is already focusing in on your less resistant finger tips; while you approach the antenna.

Observe the behavior of the energy fingers in one of those plasma gas globes!


Note of Interest: "A heterodyne theremin operated in the vacuum of outer space would continually transfer it's maximum energy through the 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 theremin reference 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 detected as a tone. 

This secondary 440 hz waveform can be seen as Amplitude Modulation imposed upon the outside edge of the main pitch oscillator frequency (carrier) using an oscilloscope. The audio wave frequency is separated from the modulated waveform using a diode. A little more mixing is done at the diode for audio wave shape and is then amplified as an audio tone. 440 hz = note A4. 

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Copyright © 2003-2010  -  Christopher

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