Rainbow Gradient within a Circle

Hey there all. I'm looking to fill a circle with a rainbow gradient in a way that appears seamless. Overall I most like the appearance of the 'angle' style of gradient, but I greatly dislike the harsh line that forms between the magenta and red (seen in image). Does anyone know how I might go about creating a seamless transition between these two colors? Or is there perhaps a better suited way to fill a circle with a rainbow gradient in such a way that the colors are arranged pie like (converging at a mid point) but without the harsh line?

Thanks in advance for your help!