> The transition from ratios to equal temperament was kind of jarring I agree. I'd like the course to comment on the fact that the ratios used in the pentatone

> The transition from ratios to equal temperament was kind of jarring I agree. I'd like the course to comment on the fact that the ratios used in the pentatone scale and the 0th, 2nd, 4th, 7th and 9th powers of the 12th root of 2 don't match exactly.