So, I did some more study on OPA2134 and came up with this for my input stage;
I would like to first point out some small things which are conventions that will make it easier for other people to help comment on your design.
Schematics should be drawn in such a way that they allow understanding the circuit function as quickly and easily as possible, so that the least amount of mental effort is spent on small details such as which pin is which function, and avoiding having to consult the datasheet for every detail. As such, the pins are usually labeled in the schematic symbol with the function. For amplifiers that is just the inverting and non-inverting inputs if there is only one output, or if the amplifier has differential outputs the inverting and non-inverting outputs would also be labeled. For multi-function devices, the separate functions are typically drawn as separate schematic symbols so that the components associated with each section can be arranged in the easiest to read manner.
With that in mind I have redrawn your original schematic from Saturday using those conventions (and also US style resistor symbols just because that is my habit):
I believe that should be equivalent unless I made a mistake. That is really just an aside so that it makes comparison with the alternate suggestion easier (which I created in that conventional style).
As suggested by "Abbey Road" above I have drawn an input stage with switched gain, and a second buffer stage to drive the pedal output.
Discussion below the picture about some components which may not be needed, and alternatives to achieve similar.
I have included the component C2 as a leading bypass around R2, "lead" in this context referring to the phase response in the feedback network. It may not be needed, depending on the op-amp used and the parasitic capacitance at the inverting input node.
To reduce the parasitic capacitance at that node, I have shown the gain setting resistors split into an R3 component connected directly to the node, and resistors R4-R6 which are actually switched, on the assumption that the switch will be located on a panel and so connected with wires at least multiple cm long. Note the "make before break" designation for the gain switch, if the switch is of a style which allows the traveling contact to temporarily move to a position with no resistors connected, the gain will drop to unity (gain of 1, aka 0 dB) and then suddenly change to the selected gain when the switch contact closes. That is likely to make large "click" or "thump" signals at the output. Even a make-before-break style switch might do that, but my assumption is that the disturbance will be less if the gain does not change to 1 suddenly. That assumption would need to be verified to make sure it is not actually worse sounding transitioning temporarily to a higher gain when the two resistors are connected in parallel for a short time.
Capacitor C3 is to cause the gain to drop to 1 at DC. The offset voltage of the op-amp is an intrinsic feature of the amplifier, caused by imperfect matching between the devices in the input stage. That offset voltage will be amplified by the gain of the stage, so for a 30 dB gain in the first stage, that could multiply the maximum 2mV offset voltage by around 30 and result in 60mV DC offset at the output. The 1646 has a gain of 2 (6 dB) so would be 120mV maximum at the output of the 1646.
Possibly you do not care about 60mV or 120mV, in which case C3 could be removed. Another alternative could be to put a coupling capacitor on the output of the first stage, blocking any DC offset from the first stage to the buffer and the 1646. Since the buffer is configured as unity gain (gain of 1 by direct feedback connection of output to inverting input) the offset voltage of the second stage is not amplified, and so should be 2mV maximum (possibly up to 3mV at elevated temperatures, see electrical characteristics in section 6.4 of the datasheet). The second amplifier section of the OPA2134 will need a resistor to GND in that case, the input to an op-amp must always have a DC path for bias current to flow. The DC path can be from the output, which is why the non-inverting input does not need a resistor, any bias current needed can be provided from the output. The non-inverting input as drawn can get bias current from the output of the first amplifier section, but if a coupling capacitor is inserted that DC path is then broken, and another DC path (i.e. through an input resistor) will be needed.
The gain of a non-inverting op-amp circuit as drawn is 1 + Rf/Rg (using the previous naming convention for feedback resistor and grounded resistor), where the Rg component is the combination of R3 and whichever resistor is connected by switch, or just the switched resistor if you omit R3.
We had previously discussed gain in terms of decibels, which is a common designation for pre-amp gain setting, but is not directly translated to the resistor ratios. Decibel scale is logarithmic so that you can choose between e.g. 0 to 60 dB gain rather than 1 to 1000.
For voltage gain, the conversion between raw gain and dB is:
db_gain = 20 * log(gain) (that is base 10 logarithm, not the natural logarithm).
So the previously discussed 30dB gain would be:
30 = 20 * log (gain)
gain = 10^(30/20) = 31.6
So using the gain equation above:
32 = 1 + Rf/Rg
31 = Rf/Rg
You will probably have to adjust that slightly based on resistor values you can easily get. Since you do not have to match exactly some existing gain range you can pick whatever works easily (or even use a pot in place of the switched resistors for prototyping).
Section 7.3.3 of the datasheet discusses effect of source impedance on distortion performance. My understanding of the pickup configuration of a Rhodes piano is that the DC resistance is about 2.5k ohms, presumably higher impedance at higher frequencies due to coil inductance.
Based on the recommendation in section 7.3.3 I would aim for the parallel combination of the gain setting resistors to be somewhere around the range of 2.5k ohms. That is not really critical if it is difficult to achieve, it only affects distortion performance a little.
At the gain ranges you need that will probably not be practical, so for now just consider that something to keep in mind for future designs where you might want lowest distortion.
If you have a 10k ohm resistor conveniently available for the feedback resistor:
31 = 10k/Rg -> Rg = 10k/31 -> Rg = 322 ohms.
If you are using 1% resistors 324 ohms is a standard value, if you are using 5% resistors then 330 is probably the closest standard value.
That is assuming you are just connecting the resistors directly for prototyping, and not using R3 as drawn to help isolate the op-amp input from the switch wiring. If you use a pot in place of the switched resistors with the wiper connected to GND, then R3 serves the purpose of setting the maximum gain, and the minimum gain is determined by the combined value of R3 and the pot when the wiper is at the top of the resistive element.
That is probably a lot to take in, hopefully it is a useful balance between being too basic on one extreme, and assuming you already know how to design circuits on the other.