Pythagorean tuning
Pythagorean tuning also had a second problem, which meantone temperament does not solve, which is the problem of modulation ("see below"), which is restricted because both have a broken circle of fifths. A series of 12 just fifths as in Pythagorean tuning does not return to the original pitch, but rather differs by a Pythagorean comma, which makes that tonal area of the system more or less unusable. In meantone temperament, this effect is even more pronounced (the fifth over the break in the circle is known as the Wolf interval, as its intense beating was likened to a "howling"). The use of 53 equal temperament provides a solution for the Pythagorean tuning, and 31 equal temperament for the Meantone.