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hoa's and housing covennuts and etc. are well aware of the Federal Antenna Law.
http://www.fcc.gov/mb/facts/otard.html.
The Federal Antenna Law says that Yes you can install Broadcast Tv Antenna/s above the roof of any size so as to have Reliable Reception.
Some people that make up local hoa's housing covennuts and etc. are Bullies and are thinking you are not aware of the Federal antenna Law and even if you are , you will not understand the Federal Antenna Law that says Yes you can install antennas above the roof , and the hoa bullies can push you around.
Bullies come in all flavors , ones that will try and lay a line of 'logic' on you.
To talk you out of installing a Broadcast Tv Antenna.
And even sweet talking Bullies.
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The Current Tv Channels that are being Transmitted and Received in the , USA , Canada , Mexico , are.
VHF low band channels 2 thru 6.
VHF high band channels 7 thru 13.
UHF band channels 14 thru 51.
Your reception location has receivable Tv channels in all 3 Tv bands.
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Install antenna Above The Roof.
The Tucson area , close in to the mountains is not the best reception location due to multi-path reflections Tv signals bouncing all around off the mountains and reduced signal strengths of some Tv stations on Mount Bigelow.
The Tvfool report shows that the transmitters on Mount Bigelow are in the Yellow Reception zone.
I recommend a , ANT751/R antenna.
or
http://www.antennacraft.net.
HBU11K antenna.
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Here are some places to buy antennas and etc. .
http://www.amazon.com.
http://www.antennacraft.net.
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Aim the HBU11K or ANT751 antenna Up at the top of the mountain toward Mount Bigelow at about 69 degree magnetic compass direction.
Here is how to aim antennas ,
http://www.kyes.com/antenna/pointing/pointing.html.
Use a Real and Actual magnetic compass to aim antenna. Do not trust the compass in your phone.
Aiming the HBU11k or ANT751 antenna Up , puts the length of the antenna & antennas reception elements in line with the Tv signals that are coming over and bent downward from the ridge of the mountain.
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K04QP-D That is channel 4 , is Strong Signal Strength , at 48.7 NM(dB) , in the Green reception zone and is also LOS=Line Of Sight.
And will be received with the HBU11K antenna or ANT751 antenna even though the antennas are designed for VHF high band channels 7 thru 13 and UHF channels 14 thru 51.
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Can also Test reception by aiming the antenna at the surrounding mountains to get reflected signals.
This seems complicated , it is not complicated , reception of the Tv stations will most likely happen in short order.
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Most likely a antenna system amplifier will not be required.
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For 1 Tv connected use No splitter.
For 2 Tv's connected use a 2 way splitter.
For 3 Tv's connected use a 3 way splitter.
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Digital Tuners can develop -Digital Glitches- that are not cleared out with simple channel scans.
To clear tuner do Double Rescan.
http://www.wchstv.com/DoubleReScanAlert.pdf.
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More on Multi-Path.
Multi-path signal reflections bouncing all around are to be avoided , However some situations such as your reception situation , the mountains are mostly bare rock , multi-path can not be avoided , so is best make the best of the situation.
This is done by adjusting the aim and location of the antenna to get the Most Favorable Multi-Path and or Direct LOS Line Of Sight Reception.