29/23

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Interval information
Ratio 29/23
Subgroup monzo 23.29 [-1 1
Size in cents 401.30285¢
Names 29-23oid major third,
undetricesimal major third
Color name 29o23u3, twenotwethu 3rd
FJS name [math]\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]\sqrt{n\cdot d}[/math])
~4.51062 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.