29/23

Interval information

Ratio	29/23
Subgroup monzo	23.29 [-1 1⟩
Size in cents	401.3028¢
Names	29-23oid major third, undetricesimal major third
Color name	29o23u3, twenotwethu 3rd
FJS name	[math]\displaystyle{ \text{d4}^{29}_{23} }[/math]
Special properties	reduced
Tenney height (log2 nd)	9.38154
Weil height (log2 max(n, d))	9.71596
Wilson height (sopfr(nd))	52
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.18113 bits
Open this interval in xen-calc

29/23 is a major third. It is equal to 401.303c and it is a convergent to the cubic root of two, the 400 cent interval.

Theory

Assigning this interval to be 1\3 of an octave, or a part of symmetric augmented triad results in 24389/24334 being tempered out.