17/13: Difference between revisions

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'''17/13'''
{{Infobox Interval
|0 0 0 0 0 -1 1>
| Icon =
| Ratio = 17/13
| Monzo = 0 0 0 0 0 -1 1
| Cents = 464.42775
| Name = septendecimal subfourth
| Color name =
| FJS name = P4<sup>17</sup><sub>13</sub>
| Sound = jid_17_13_pluck_adu_dr220.mp3
}}


464.4277 cents
In [[17-limit]] [[Just Intonation]], '''17/13''' is the '''septendecimal sub-fourth''', measuring about 464.4¢. It is the [[mediant]] between [[13/10]] and [[4/3]] and falls in the categorically-ambiguous zone between supermajor third and perfect fourth that Margo Schulter calls [[interseptimal]]. It appears in the [[harmonic series]] between the 13th and 17th harmonics.
 
[[File:jid_17_13_pluck_adu_dr220.mp3]] [[:File:jid_17_13_pluck_adu_dr220.mp3|sound sample]]
 
In [[17-limit|17-limit]] [[Just_intonation|Just Intonation]], 17/13 is the "septendecimal sub-fourth," measuring about 464.4¢. It is the [[mediant|mediant]] between [[13/10|13/10]] and [[4/3|4/3]] and falls in the categorically-ambiguous zone between supermajor third and perfect fourth that Margo Schulter calls [[Interseptimal|interseptimal]]. It appears in the [[OverToneSeries|harmonic series]] between the 13th and 17th harmonics.


It is less than .2 cents flat of [[31edo]]'s subfourth of 464.52c (12\31).
It is less than .2 cents flat of [[31edo]]'s subfourth of 464.52c (12\31).


See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]
== See also ==
* [[26/17]] – its [[octave complement]]
* [[Gallery of just intervals]]


[[Category:Interval]]
[[Category:Fourth]]
[[Category:Subfourth]]
[[Category:Interseptimal]]
[[Category:Interseptimal]]
[[Category:Naiadic]]
[[Category:Naiadic]]