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RS Theremin

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9.26.05

Tuning for Perfect Pitch Linearity
by Christopher

The ideal pitch response from a theremin antenna occurs when the pitch oscillator is tuned slightly "above" the LC resonance of a coiled antenna. This is tuning to the sweet spot for the maximum response of the pitch field. The antenna LC resonance is slightly below the oscillator frequency to avoid frequency cross-over as your hand approaches.

Modern day pitch field thinking is fixated on passive hand capacitance alone; my research points to the added influence of current flow into the theremin antenna. Lev Sergeyevich Termen referred to the pitch field as electro-magnetic not just capacitive, the antenna was also referred to as an electrode not a capacitor plate.

The Lev antenna coil spring has parasitic capacitance between the coil turns and the environment. The overall spring stretch should be a maximum of 1/2" or less. Stretching semi tunes the coil. IMHO the closely gathered spring coil turns resonate as part of the tank circuit around 922 kHz. 

The pitch oscillator should have the highest Q while the antenna response I believe is broad band behavior.

Moving your hand closer to the Lev Antenna, hand capacitance effect-1 will lower the variable oscillators frequency but it also begins to de-tune the antenna from the balanced oscillator circuit. This detuning attenuates the transfer of energy from the pitch oscillator into the antenna.  Less current into the antenna increases the variable oscillator  Xc capacitance reactance which decreases the tank capacitance effect-2 and this drives the variable oscillators frequency higher.

Amazingly these two capacitance effects together counter balance and generate a perfectly linear pitch field response relative to the musical scale!

The highest notes would have the most attenuated current flow. This is why with proper "Lev" LC tuning, compression of the higher notes cannot occur next to the antenna. It is at this point next to the antenna that the pitch field energy has been reduced to a minimum by the off tuning of the antenna LC.  

This effect occurred using either tube/valves or BJT transistors. Also no inline chokes are used as the coil antenna is a direct connection to the variable oscillator tank circuit. I did not experience non-linearity until I purchased an EtherWave Standard years later.

I originally saw this balancing effect while studying the LC character of a coiled spring antenna back in 2004. My tests made it obvious that something unusual was happening.

"The true phenomenon found in Lev Sergeyvich's heterodyne theremin antenna design is that the musical notes developed from the pitch field are spread out to match a piano keyboard perfectly." 

This happens all the way up next to the antenna!

Christopher

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