Mikebits: The OPA is about 7x less noisy at 100 Hz.
rsfoto: Your wierd sawtooth noise on a linear power supply battery explained:
**broken link removed** My way, the cap gets charged to a peak voltage and then acts like a discharging capacitor y when the signal goes away.
I doubt you scope does FFT's (Fast Fourier Transforms)? That lets you look at signals by frequency component.
How often in time to the higher spikes occur? 1/t = frequency.
Look here:
https://en.wikipedia.org/wiki/Shot_noise under the Title
Electronic Devices and read the first paragraph only.