  The flocculent structure of star formation in 7 galaxies has a Fourier
transform power spectrum for azimuthal intensity scans with a power law slope
that increases systematically from -1 at large scales to -1.7 at small scales.
This is the same pattern as in the power spectra for azimuthal scans of HI
emission in the Large Magellanic Clouds and for flocculent dust clouds in
galactic nuclei. The steep part also corresponds to the slope of -3 for
two-dimensional power spectra that have been observed in atomic and molecular
gas surveys of the Milky Way and the Large and Small Magellanic Clouds. The
same power law structure for star formation arises in both flocculent and grand
design galaxies, which implies that the star formation process is the same in
each. Fractal Brownian motion models that include discrete stars and an
underlying continuum of starlight match the observations if all of the emission
is organized into a global fractal pattern with an intrinsic 1D power spectrum
having a slope between 1.3 and 1.8. We suggest that the power spectrum of
optical light in galaxies is the result of turbulence, and that large-scale
turbulent motions are generated by sheared gravitational instabilities which
make flocculent spiral arms first and then cascade to form clouds and clusters
on smaller scales.
