I have been honing in my spinning skills and decided I would play with grist. For those of you who do not know what grist is, it is the the number of yards per pound in a given fiber. I have always been good at duplicating yarns. This time, I wanted to spin a yarn to specifications without having a control yarn. That took understanding grist. Since I love math, I decided to give it a shot.
In my experimentation, I realized there are a lot of variables. The major one being twist. The more twist a yarn has, the shorter it becomes. The other variable I found was the drafting rate. The more fibers you have in a given length, the larger the diameter of the yarn which in turn effects the wraps per inch (WPI). I also figured out that doubling the fiber amount does not double the yarn's diameter. All of this effects grist.
I had 8 ounces of merino wool. I wanted to weave a small wrap with this wool. I knew I would not have enough to ply the merino with itself but I thought I could ply it with a lace weight silk yarn to "stretch" it out. To further set myself up for failure, I decided to spin my default yarn. My default yarn is not thick, I just never calculated its WPI. So I was going into this blind. Plus, I knew I could always find something to do with this yarn if it was a complete failure. Which it was!

I used a WPI gauge and calculated my default yarn. The single was 28 WPI. So far so good, so I thought. Using the formula in The Alden Amos Big Book of Handspinning my single had a grist of 693. The formula I used was grist = yarn diameter squared X factor number. Factor number is a number assigned to the yarn based on its characteristics. My factor number is .884 for a soft woolen yarn. The problem my scientific mind has with the factor number is this is too subjective. I may call a yarn "medium-firm" and you may say it's "firm" and most handspinners spin semi-worsted not a true woolen or worsted. Sorry I digressed. This told me my yarn had a grist of 693 yards per pound (YPP). I had to divide 693 by 16 to find out how many yards per ounce (16 ounces in a pound). I had 43.3 yards per ounce times 8 ounces gave me 346.5 yards (or divide by 2). Even if I plied my single with another yarn, I would not have enough to make a wrap.
What did I learn from all of this? I can't make a wrap out of 8 ounces of fiber. If I would have spun the single thinner, I may have gotten a few more yards out of it. But I wanted to see what my natural, default yarn measured and IF it worked great. Since it take about 300 yards to make a pair of socks for me, that's what this yarn will be when it grows up.