17/11: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 17/11
| Monzo = 0 0 0 0 -1 0 1
| Cents = 753.63747
| Name = septendecimal subminor sixth
| Name = septendecimal subminor sixth
| Color name = 17o1u6, solu 6th
| Color name = 17o1u6, solu 6th
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* [[22/17]] -- its [[octave complement]]
* [[22/17]] -- its [[octave complement]]


[[Category:17-limit]]
[[Category:Sixth]]
[[Category:Sixth]]
[[Category:Subminor sixth]]
[[Category:Subminor sixth]]

Revision as of 11:59, 25 October 2022

Interval information
Ratio 17/11
Subgroup monzo 11.17 [-1 1
Size in cents 753.6375¢
Name septendecimal subminor sixth
Color name 17o1u6, solu 6th
FJS name [math]\displaystyle{ \text{m6}^{17}_{11} }[/math]
Special properties reduced
Tenney height (log2 nd) 7.54689
Weil height (log2 max(n, d)) 8.17493
Wilson height (sopfr(nd)) 28

[sound info]
Open this interval in xen-calc

In 17-limit just intonation, 17/11 is the septendecimal subminor sixth, measuring about 753.6 ¢. It is the mediant between 3/2 and 14/9. Its inversion is 22/17, the "septendecimal supermajor third." It is sometimes known as the major fifth in systems such as 16edo in which 3/2 is split into two very distinct intervals.

See also