29/23
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| 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{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.