Roofing shingle system and shingles for use therein

A single layer roofing shingle comprising:

• a headlap portion including a non-straight longitudinal edge defining a first uniform pattern of headlap peaks that extend away from a longitudinal center of said shingle and headlap valleys that extend toward the longitudinal center of said shingle in a uniform pattern;
• a buttlap portion including a plurality of tabs extending from said headlap portion, said tabs spaced apart to define a plurality of openings between said tabs;
• wherein said buttlap portion further includes a non-straight longitudinal edge defining a second uniform pattern of buttlap peaks that extend away from the longitudinal center of said shingle and buttlap valleys that extend toward the longitudinal center of said shingle in a uniform pattern;
• wherein the non-straight longitudinal edge of said buttlap portion and the non-straight longitudinal edge of said headlap portion mirror each other laterally across said shingle;
• wherein said buttlap peaks are approximately located at the center of said tabs defining a maximum tab width dimension;
• and wherein the distance between said buttlap peaks and corresponding headlap peaks located directly across said shingle from said buttlap peaks defines a maximum width of said shingle.