17/14: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| JI glyph =
| Ratio = 17/14
| Ratio = 17/14
| Monzo = -1 0 0 -1 0 0 1
| Monzo = -1 0 0 -1 0 0 1
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}}
}}


In [[17-limit]] [[Just Intonation]], '''17/14''' is the '''septendecimal supraminor third''' measuring about 336.1¢. It is the [[mediant]] between [[6/5]] and [[11/9]], as it is (6+11)/(5+9). A 14:17:21 [[List of root-3rd-P5 triads in_JI|root-3rd-P5]] triad can be built with 17/14 as the bottom third and [[21/17]] as the top third. This may thus represent a septendecimal "shading" of a minor triad.
In [[17-limit]] [[just intonation]], '''17/14''' is the '''septendecimal supraminor third''' measuring about 336.1¢. It is the [[mediant]] between [[6/5]] and [[11/9]], as it is (6+11)/(5+9). A 14:17:21 [[List of root-3rd-P5 triads in_JI|root-3rd-P5]] triad can be built with 17/14 as the bottom third and [[21/17]] as the top third. This may thus represent a septendecimal "shading" of a minor triad.


== See also ==
== See also ==
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[[Category:17-limit]]
[[Category:17-limit]]
[[Category:Interval]]
[[Category:Ratio]]
[[Category:Just interval]]
[[Category:Third]]
[[Category:Third]]
[[Category:Supraminor third]]
[[Category:Supraminor third]]
[[Category:Listen]]
[[Category:Pages with internal sound examples]]
[[Category:Pages with internal sound examples]]

Revision as of 21:08, 12 December 2021

Interval information
Ratio 17/14
Factorization 2-1 × 7-1 × 17
Monzo [-1 0 0 -1 0 0 1
Size in cents 336.1295¢
Name septendecimal supraminor third
FJS name [math]\displaystyle{ \text{m3}^{17}_{7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 7.89482
Weil norm (log2 max(n, d)) 8.17493
Wilson norm (sopfr(nd)) 26

[sound info]
Open this interval in xen-calc

In 17-limit just intonation, 17/14 is the septendecimal supraminor third measuring about 336.1¢. It is the mediant between 6/5 and 11/9, as it is (6+11)/(5+9). A 14:17:21 root-3rd-P5 triad can be built with 17/14 as the bottom third and 21/17 as the top third. This may thus represent a septendecimal "shading" of a minor triad.

See also