17/13

In 17-limit Just Intonation, 17/13 is the septendecimal sub-fourth, measuring about 464.4¢. 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.

Interval information

Ratio	17/13
Subgroup monzo	13.17 [-1 1⟩
Size in cents	464.4277¢
Name	septendecimal subfourth
FJS name	[math]\displaystyle{ \text{P4}^{17}_{13} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	7.7879
Weil norm (log2 max(n, d))	8.17493
Wilson norm (sopfr(nd))	30
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It is less than 0.2 cents flat of 31edo's subfourth of 464.52c (12\31).

See also

• 26/17 – its octave complement
• Gallery of just intervals