I do like the way your mind works Terry but I always thought the yin-yang was a symbol for opposites coming together complementing each other in harmony.
ie: shadow and light, good balancing evil ect....I've never heard the beauty of it's theory related to a good balance of straight lines and curvy lines before nor commercial logos used as an example..It really is an enormous stretch to say the least.
The traditional Taijitu (yin and yang) doesn't have a straight line in it..It is equally light-dark and curved.
Yin (陰 or 阴 "shady place, north slope, south bank (river); cloudy, overcast"; Japanese: in or on; Korean: 음, Vietnamese: âm) qualities are characterized as soft, slow, substantial, water, cold, conserving, tranquil, gentle, and corresponds to the night.
Yang (陽 or 阳 "sunny place, south slope, north bank (river), sunshine"; Japanese: yō; Korean: 양, Vietnamese: dương) qualities are characterized as hot, fire, restless, hard, dry, excitement, non-substantial, rapidity, and corresponds to the day.
I don't think gender can be brought into it...It's more the essence of the person, happy or sad..Angry or serene ect
I know where you're coming from re: a balance of design ect but jeez i'd be pointing to the door if someone hit me with a pitch like that.
Are you in advertising?