17/13
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Ratio
17/13
Subgroup monzo
13.17 [-1 1⟩
Size in cents
464.4277¢
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{nd}[/math])
~4.26988 bits
[sound info]
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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%).