20/17: Difference between revisions

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'''20/17'''
{{Infobox Interval
|2 0 1 0 0 0 -1>
| Icon =
| Ratio = 20/17
| Monzo = 2 0 1 0 0 0 -1
| Cents = 281.3583
| Name = septendecimal minor third
| Sound = jid_20_17_pluck_adu_dr220.mp3
| Color name =
}}
In [[17-limit]] [[Just Intonation]], 20/17 is the "septendecimal minor third", measuring about 281.4¢. It is the [[mediant]] between [[7/6]] and [[13/11]], as it is (7+13)/(6+11). It is found in the [[OverToneSeries|harmonic series]] between the 17th and 20th harmonics.


281.3583 cents
See:
 
[[File:jid_20_17_pluck_adu_dr220.mp3]] [[:File:jid_20_17_pluck_adu_dr220.mp3|sound sample]]
 
In [[17-limit|17-limit]] [[Just_intonation|Just Intonation]], 20/17 is the "septendecimal minor third", measuring about 281.4¢. It is the [[mediant|mediant]] between [[7/6|7/6]] and [[13/11|13/11]], as it is (7+13)/(6+11). It is found in the [[OverToneSeries|harmonic series]] between the 17th and 20th harmonics.


See:
* [[17edo|4\17]] (282.353 cents)
* [[17/10|17/10]] the [[octave complement]]
* [[Gallery of Just Intervals]]


<ul><li>[[17edo|4\17]] (282.353 cents)</li><li>[[17/10|17/10]] the octave complement</li><li>[[Gallery_of_Just_Intervals|Gallery of Just Intervals]]</li></ul>      [[Category:just_interval]]
[[Category:17-limit]]
[[Category:interval]]
[[Category:just_interval]]
[[Category:minor_third]]
[[Category:minor_third]]
[[Category:septendecimal]]
[[Category:septendecimal]]

Revision as of 20:43, 18 October 2018

Interval information
Ratio 20/17
Factorization 22 × 5 × 17-1
Monzo [2 0 1 0 0 0 -1⟩
Size in cents 281.3583¢
Name septendecimal minor third
FJS name [math]\displaystyle{ \text{A2}^{5}_{17} }[/math]
Special properties reduced
Tenney norm (log2 nd) 8.40939
Weil norm (log2 max(n, d)) 8.64386
Wilson norm (sopfr(nd)) 26

[sound info]
Open this interval in xen-calc

In 17-limit Just Intonation, 20/17 is the "septendecimal minor third", measuring about 281.4¢. It is the mediant between 7/6 and 13/11, as it is (7+13)/(6+11). It is found in the harmonic series between the 17th and 20th harmonics.

See:

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