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Your spectrogram looks elongated horizontally because the FFT window size is too large. I use window size 1024 with sample rate 48000 Hz, so one window covers 1024/48000=0.02 sec. This window size looks optimal in most cases: if you change it in my web app, you'll see that all other window sizes get the spectrogram blurry in different ways, but at 1024 it gets into focus.

Of course, don't forget the window function (Hann, or raised cosine), but it looks like you've got that covered because your spectrogram looks smooth.

The color palette looks good in your case. FWIW, my color function is like this: pow(fft_amp, 1.5) * rgb(9, 3, 1). The pow() part brightens the low/quiet amplitudes, and the (9,3,1) multiplier displays 10x wider amp range by mapping it to a visually long black->orange->yellow->white range of colors. Note, that I don't do log10 mapping of the amplitudes.