26/17
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Ratio
26/17
Subgroup monzo
2.13.17 [1 1 -1⟩
Size in cents
735.5723¢
Name
septendecimal superfifth
Color name
17u3o5, sutho 5th
FJS name
[math]\text{P5}^{13}_{17}[/math]
Special properties
reduced
Tenney height (log2 nd)
8.7879
Weil height (log2 max(n, d))
9.40088
Wilson height (sopfr(nd))
32
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.32028 bits
[sound info]
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
In 17-limit just intonation, 26/17 is the septendecimal superfifth. It differs from the 3/2 perfect fifth by the comma 52/51, about 33.6¢. Although this difference is considerable, 26/17 may be used as a wide perfect fifth, thus allowing septendecimal versions of root-3rd-P5 chords – in particular, 17:20:26, 17:21:26, 17:22:26.
26/17 is the mediant of 3/2 and 23/15.
It is less than 0.2 cents sharp of 31edo's superfifth of 735.48¢ (19\31).