Pythagorean tuning is derived
from the 3/2 frequency ratio, and has been believed by some
to be the basis of many historical scales.
Pythagorean tuning uses steps
of the frequency ratios 3/2 (702 cents) to generate steps
and 4/3 (498 cents) to generate steps of fourths. This results
in a spiral tuning yet the resultant harmony is generally
agreed to be unsatisfactory.
Some authorities claim that this
is the basis of all Indian tunings, and that North Indian
scales are derived from steps of fifths in the sa - ma pattern;
whilst the South Indian tuning uses steps of fourths in the
sa - pa pattern. As Indian musical practice tends to contain
many ornamentations, much vibrato, and glissando, this is