41 equal temperament

In music, 41 equal temperament, abbreviated 41-tET, 41-EDO, or 41-ET, is the tempered scale derived by dividing the octave into 41 equally sized steps (equal frequency ratios).  Play  Each step represents a frequency ratio of 2^1/41, or 29.27 cents ( Play ), an interval close in size to the septimal comma. 41-ET can be seen as a tuning of the schismatic,magic and miracle temperaments. It is the second smallest equal temperament, after 29-ET, whose perfect fifth is closer to just intonation than that of 12-ET. In other words, ${\displaystyle 2^{24/41}\approx 1.50042}$ is a better approximation to the ratio ${\displaystyle 3/2=1.5}$ than either ${\displaystyle 2^{17/29}\approx 1.50129}$ or ${\displaystyle 2^{7/12}\approx 1.49831}$.

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