I have an Exar XR2206 to generate triangle wave with single supply Vcc. This wave has peak value 12 volt and 0 volt.
How to make this IC operate in split-supply?
Hence I got triangle wave with peak value +6 Volt and -6 Volt.
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Use a level shifting op-amp circuit to subtract 6V from the signal or, if the lowest frequency you need is hundreds of Hz a simple high pass RC filter with a cut-off around a few Hz would remove the DC level and centralize it without altering the shape too much.
Alternatively, if you didn't mind losing half the amplitude you could use this circuit: -