Alternative colour scheme. Not a pattern for fabrics, but one produced from a jpg of a stack of fabric items that was posted on Pixabay. The tile that this is based on can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
It’s an egg, in the form of a pattern. This really is 2012.
Source Paul Phönixweiß
Might not be super subtle, but quite original in its form.
Source Alex Smith
If you don’t like cream and pixels, you’re in the wrong place.
Source Mizanur Rahman
This is a remix of "blue wave-seigaiha".I hope this subtle color version of Seigaiha would be suitable for background .
Source Yamachem
Dark squares with some virus-looking dots in the grid.
Source Hugo Loning
If you want png files of this u can download them here : viscious-speed.deviantart.com/gallery/27635117
Source Viscious-Speed
This one is quite simple in design, it consists of vertical stripes layered on top of a seamless texture.
Source V. Hartikainen
Abstract Arbitrary Geometric Background derived from an image on Pixabay.
Source GDJ
Scanned some rice paper and tiled it up for you. Enjoy.
Source Atle Mo
Zerro CC tillable texture of stones photographed and made by me. CC0
Source Sojan Janso
Bright gray tones with a hint of some metal surface.
Source Hendrik Lammers
Super detailed 16×16 tile that forms a beautiful pattern of straws.
Source Pavel
Nasty or not, it’s a nice pattern that tiles. Like they all do.
Source Badhon Ebrahim
You guessed it – looks a bit like cloth.
Source Peax Webdesign
This is sort of fresh, but still feels a bit old school.
Source Martuchox
A huge one at 800x600px. Made from a photo I took going home after work.
Source Atle Mo
Remixed from a drawing in 'Line and form', Walter Crane, 1914.
Source Firkin
Sort of reminds me of those old house wallpapers.
Source Tish
Remixed from a drawing in 'Jezebel's Daughter', Wilkie Collins 1880
Source Firkin
There are quite a few grid patterns, but this one is a super tiny grid with some dust for good measure.
Source Dominik Kiss
Prismatic Hypnotic Pattern 2 No Background
Source GDJ