Desiphering diag. codes for my 2006 harley davidson fxdi

Question edited for clarity.
Question moved to model category.

Likely the IAC needs cleaning.

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Duplicate question already answered

P0505: Loss of idle speed control.

Does it idle fast or rough? Fluctuates up and down?

Best guess: Intake manifold leak or your IAC (idle air control) needs cleaned, your idle speed needs adjusted.

Everything I can think of:
Bad/carboned up IAC, vacuum leak, leaking injector(s), contaminated fuel, TPS off ( throttle cable/TPS needs adjusted), battery voltage less than 9 volts, overfilled crankcase. VSS (Vehicle speed sensor) defective, it will disable idle speed control. Loss of battery power to to pin number 31? (sorry no manual handy for pin number) on the ECM.

Running fuel/air too lean or maybe bad spark plug or wire. Just make sure wires are tight. Might be fouled.

If the bike is fuel injected (FXDI), you need to take it back to the dealer and have them take a look at it. There is no "user adjustable" settings on the bike.