One options as to the suitability of the transformer you have, as well as the choice of PSU/regulator system is to calculate your way to an answer:
Start by calculating the current required for each channel:
IC data sheets state the supply current in mA. e.g. NE5534 has a supply current of max 8mA.
Factor in the current drawn by LEDs.
Is there any transistor circuitry? Factor it in as well.
When all currents are added together you will get a total of "N" mA.
Is this greater than the capability of your chosen PSU/regulator? If yes, put in 2 PSUs; if no, by how much is "N" under the PSU's limits? A rule-of-thumb allowance is 30%. So if your calculated currents add-up to 1 amp, and your regulators are LM317/LM337 (rated at 1.5A with suitable heatsinking), you are well-within the regulator's capability provided that the regulators are suitably heat-sinked....... again, reference to the regulator and heatsink manufacturer's data sheets on their products will provide answers, or at least the raw info from which answers can be worked out.
Finally, is the transformer up to the job? Back to the calculator and the Laws of Mr Ohm.
Hope this helps.