17/14: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Wikispaces>FREEZE
No edit summary
m +FJS name; cleanup
Line 1: Line 1:
'''17/14'''
{{Infobox Interval
|-1 0 0 -1 0 0 1>
| JI glyph =
| Ratio = 17/14
| Monzo = -1 0 0 -1 0 0 1
| Cents = 336.1295
| Name = septendecimal supraminor third
| Color name =
| FJS name = m3<sup>17</sup><sub>7</sub>
| Sound = jid_17_14_pluck_adu_dr220.mp3
}}


336.1295 cents
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.


[[File:jid_17_14_pluck_adu_dr220.mp3]] [[:File:jid_17_14_pluck_adu_dr220.mp3|sound sample]]
== See also ==
* [[28/17]] – its [[octave complement]]
* [[21/17]] – its [[fifth complement]]
* [[Gallery of just intervals]]


In [[17-limit|17-limit]] [[Just_intonation|Just Intonation]], 17/14 is the "septendecimal supraminor third," measuring about 336.1¢. It is the [[mediant|mediant]] between [[6/5|6/5]] and [[11/9|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|21/17]] as the top third. This may thus represent a septendecimal "shading" of a minor triad.
[[Category:17-limit]]
 
[[Category:Interval]]
See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]      [[Category:interval]]
[[Category:Ratio]]
[[Category:just_interval]]
[[Category:Just interval]]
[[Category:listen]]
[[Category:Third]]
[[Category:minor_third]]
[[Category:Supraminor third]]
[[Category:ratio]]
[[Category:Listen]]
[[Category:septendecimal]]
[[Category:supraminor]]
[[Category:third]]

Revision as of 06:58, 9 November 2020

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