What does "ring the changes" mean in this context?

Indeed the worthy housewife was of such a capricious nature, that she not only attained a higher pitch of genius than Macbeth, in respect of her ability to be wise, amazed, temperate and furious, loyal and neutral in an instant, but would sometimes ring the changes backwards and forwards on all possible moods and flights in one short quarter of an hour; performing, as it were, a kind of triple bob major on the peal of instruments in the female belfry, with a skilfulness and rapidity of execution that astonished all who heard her.