26/17
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| Ratio | 26/17 |
| Subgroup monzo | 2.13.17 [1 1 -1⟩ |
| Size in cents | 735.57225¢ |
| 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{n\cdot d}[/math]) |
~4.59671 bits |
[sound info] | |
| open this interval in xen-calc | |
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).