Magnetic tape media cartridge with increased tape media capacity

A tape media cartridge, comprising:

• a cartridge housing having a standard Ultrium form factor, the cartridge housing including a side wall having a wall center and a wall edge, the side wall having a side wall thickness that gradually increases from the side wall center to the side wall edge, the cartridge housing including a label recess that is connected to the side wall;
• a tape media that is selectively wound onto the cartridge reel between a fully wound state, a partially wound state and an unwound state, the tape media having a media width, the tape media forming a media hollow cylinder having a media inner diameter and a media outer diameter that varies depending upon the state of the tape media, wherein the label recess is tapered to accommodate the tape media;
• and
• a cartridge reel that is coupled to and retained within the cartridge housing, the cartridge reel including a reel flange having an outer edge radius of curvature of less than 0.3 mm, the reel flange having a flange thickness of less than 2.85 mm;
• wherein when the tape media is in the fully wound state, a ratio of the media outer diameter to the media inner diameter is at least approximately 95:43, and a ratio of the media inner diameter to the media width is less than approximately 40:13.