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]]

Revision as of 07:14, 20 January 2021

Interval information
Ratio 17/13
Subgroup monzo 13.17 [-1 1⟩
Size in cents 464.4277¢
Name septendecimal subfourth
FJS name [math]\displaystyle{ \text{P4}^{17}_{13} }[/math]
Special properties reduced
Tenney norm (log2 nd) 7.7879
Weil norm (log2 max(n, d)) 8.17493
Wilson norm (sopfr(nd)) 30

[sound info]
Open this interval in xen-calc

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.

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

See also

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