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The Main Group of receivable Digital Broadcast Tv stations/channels are to the , South South West and West.
Recommend a Terk HDTVi , (not HDTVa) , antenna in/at a , South South West , window.
As best you can , aim the HDTVi antenna at about 200 degree magnetic compass direction.
Here is how to aim Indoor and outdoor antenna ,
www.kyes.com/antenna/pointing/pointing.html
Use a Real and Actual magnetic compass to aim antenna.
As always , the starting antenna aim direction is the --> starting antenna aim direction.
The antenna aim direction and antenna location can be adjusted for best reception.
As always , indoor type Tv antennas have limited reception.
Most Digital Tv's have a Signal Strength Meter and some Digital Tv's also have a Signal Quality Meter.
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The Tv Must Channel Scan for the , OTA=Over The Air , Digital Broadcast Tv stations/channels , often named the ~DTV Channels~Antenna Channels~Air Channels~ in the Tv Setup Menu because the Tv transmissions travel through the Air from the transmitting antenna to the receiving antenna.
Some digital Tv's will Automatic channel scan for cable tv channels.
DO NOT channel scan for cable tv channels.
Go into the Tv Setup Menu and select ~DTV Channels~Antenna Channels ~Air Channels~.
Scan for channels.
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Here is a place to buy antennas and etc. .
www.amazon.com
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If the coax needs to run through the apartment to connect the HDTVi antenna to the Tv , then so be it.
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What direction does the balcony face??
If the balcony faces East , is the balcony on the South end of the East side of the building , and if so , does the side of the balcony have a good view to the south that is not blocked by the building??
Or better , does the balcony face South??