Atheros Turbo mode uses two channels at the same time. Therefore the 3dB difference between the calculated power levels. Although it seems back to front to me!
Working backwards as you know the maximum EiRP permitted is 1Watt…
1000mW = 30dBm
Antenna gain = 23dBi
Coax loss = x dB
RF Connectors loss = y dB
RF Pigtails Loss = z dB
30-23 = 7dBm
Now ADD the cable and connectors losses, makes it 7+x+y+z dBm is the setting you can use for maximum permitted EiRP
E.g. (just examples! You need to work these out for your own setup)
Coax Loss (10m of LMR400 at 5.8GHz) = 3.6dB loss
RF Connectors, lightning arrestors etc = 1dB loss
RF Pigtail = 0.15dB Loss
7+3.6+1.0+0.15 = 11.75 dBm
So for this example, setting a power level of 11dBm will ensure you do not exceed 1W EiRP when using the above equipment losses and gains.
If you transmit at X dB and 20 MHz then you will receive at Y dB.
If you transmit at X dB and 40 MHz then you will receive at Y-3 dB.
Remember, doubling the channel width halfs the power (and Z-3 dB is, of course, half the power of z db).
So, by doubling both the channel width and the transmit power, the power at the receiver is the same.