For example, in 31 equal temperament the diminished fourth is slightly wider than a major third, and is instead the same width as the septimal major third. The Pythagorean diminished fourth (F, 8192:6561 = 384.36 cents), also known as the schismatic major third, is closer to the just major third than the Pythagorean major third.
This concept can be illustrated by considering a specific tuning system, such as 31 equal temperament, where the diminished fourth takes up slightly more space than a major third and coincides with the width of the septimal major third. The Pythagorean diminished fourth (F, 8192:6561 = 384.36 cents), also referred to as the schismatic major third, is actually closer to the just major third compared to the Pythagorean major third.