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
A hint of orange color, and some crossed and embossed lines.
Source Adam Anlauf
Very simple, very blu(e). Subtle and nice.
Source Seb Jachec
ZeroCC tileable moss texture, photographed and made by me. CC0
Source Sojan Janso
This background has abstract texture with some similarities to wood.
Source V. Hartikainen
From a drawing in 'Art Embroidery', M.S. Lockwood and E. Glaister, 1878.
Source Firkin
The following free background pattern has glossy diagonal stripes as a texture to it, and it's colored in a light blue gray color. This background pattern is suitable for using in web design or any other graphic design projects. This applies to all background patterns here.
Source V. Hartikainen
Zerro CC tillable texture of stones photographed and made by me. CC0
Source Sojan Janso
Small gradient crosses inside 45-degree boxes, or bigger crosses if you will.
Source Wassim
To get the tile this is based on select the rectangle in Inkscape and use shift-alt-i
Source Firkin
Abstract Geometric Monochrome Pattern Prismatic No Background
Source GDJ
A seamless pattern from a tile drawn in Paint.net and vectorised in Vector Magic
Source Firkin
A seamless pattern made from the gold Penrose triangle by GDJ and the two remixes
Source Firkin
Drawn in Paint.net using the kaleidoscope plug-in and vectorised.
Source Firkin
Prismatic Curved Diamond Pattern 7 No Background
Source GDJ
There are many carbon patterns, but this one is tiny.
Source Designova
From a drawing in 'In an Enchanted Island', William Mallock, 1892.
Source Firkin
A pattern drawn in Paint.net and vectorized in Vector Magic.
Source Firkin
From a drawing in 'Art Embroidery', M.S. Lockwood and E. Glaister, 1878.
Source Firkin
Carbon fiber is never out of fashion, so here is one more style for you.
Source Alfred Lee