key change

Not to infer that 'truffle hunt' is a major colourway and 'blanket fort' a minor (although 'truffle hunt' is the most wonderful brown/grey with a hint of lavender that ever existed) but in the process of reworking my Cladonia I have just shifted from striping in 'truffle hunt'/'old world' to 'blanket fort'/'old world' before working the border in 'blanket fort'.

(Now I am completely unmusical and actually have no idea what a key change really is. Tim and I will be listening to music and he'll say 'there's the key change' and I am oblivious. On the other hand, when Tim asks me what I'm laughing at and I say that it was something in the lyrics, his response is 'oh, you actually listen to the words'.)

I put a lot of thought into where to make the colour change. I decided to stripe half of the shawl's area in truffle hunt' and 'old world' and the other half in 'blanket fort' and 'old world'. To work out which row this meant making the colour change on, I had to rummage deep in the recesses of brain and recall some maths. I based the calculations on a full circle and started by calculated the circumference as sixteen times the number of stitches in each section (448). From there I got the nominal radius of the circle (and from there calculated the area nominal radius (c = 2πr) - I say nominal because the radius of a circle cannot be expressed in stitches). Result was 71(-ish).  

Then to calculate the area of the circle (a=πr²) ... and yes, blah blah blah. I remember in high school maths classes there was always someone who would complain 'when am I ever going to use this in real life?' Not me because I was studious but if someone had told me I'd be using it to calculate how much of my shawl to knit in a different colour I would never have believed them.