# 2ed25/24

← 1ed25/24 | 2ed25/24 | 3ed25/24 → |

2ed25/24 is a tuning system created by dividing the interval of 25/24 logarithmically into steps of about 35.336 cents each. Each step represents a frequency ratio of the square root of 25/24.

It is almost equal to 34edo.

## Theory

One step of this tuning is an interval that allows to pass from a just major third (5/4) to a just minor third (6/5) by equal contrary motion, and vice versa. Let be two voices forming a 5/4 interval. If the lower voice goes up by a sqrt(25/24) and the upper voice goes down by the same interval, the next interval formed by the two voices will be a 6/5 interval.

## Listen

## Approximations

EDOs that have both a good 5-odd-limit and a sqrt(25/24) distinct from 25/24 include (among others) 24, 27, 31 and 34.

34-edo has such an excellent sqrt(25/24) that the next EDO to have a better one is 441.