17/13
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| Ratio | 17/13 |
| Subgroup monzo | 13.17 [-1 1⟩ |
| Size in cents | 464.42775¢ |
| Name | septendecimal subfourth |
| Color name | 17o3u4, sothu 4th |
| FJS name | [math]\text{P4}^{17}_{13}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 7.7879 |
| Weil height (log2 max(n, d)) | 8.17493 |
| Wilson height (sopfr (nd)) | 30 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.584 bits |
[sound info] | |
| open this interval in xen-calc | |
In 17-limit just intonation, 17/13 is the septendecimal subfourth, measuring about 464.4¢. It differs from the 4/3 perfect fourth by the comma 52/51, about 33.6¢. It is the mediant between 13/10 and 4/3 and falls in the categorically-ambiguous zone between supermajor third and perfect fourth that Margo Schulter calls interseptimal. It appears in the harmonic series between the 13th and 17th harmonics.
It is less than 0.2 cents flat of 31edo's subfourth of 464.52¢ (12\31). In fact, a circle of 31 pure 17/13's closes with an error of only 2.74c (relative error 7.1%).