17/13: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = septendecimal subfourth | | Name = septendecimal subfourth | ||
| Color name = 17o3u4, sothu 4th | | Color name = 17o3u4, sothu 4th | ||
| Sound = jid_17_13_pluck_adu_dr220.mp3 | | Sound = jid_17_13_pluck_adu_dr220.mp3 | ||
}} | }} | ||
In [[17-limit]] [[just intonation]], '''17/13''' is the '''septendecimal subfourth''', measuring about 464.4¢. It differs from the [[4/3]] perfect fourth by the [[comma]] [[52/51]], about 33.6¢. 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. | In [[17-limit]] [[just intonation]], '''17/13''' is the '''septendecimal subfourth''', measuring about 464.4¢. It differs from the [[4/3]] perfect fourth by the [[comma]] [[52/51]], about 33.6¢. 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 0. | It is less than 0.1 cents flat of [[31edo]]'s subfourth of 464.52¢ (12\31). In fact, a circle of 31 pure 17/13's closes with an error of only 2.74c ([[relative error]] 7.1%). | ||
== See also == | == See also == | ||
| Line 17: | Line 12: | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
[[Category:Fourth]] | [[Category:Fourth]] | ||
[[Category:Subfourth]] | [[Category:Subfourth]] | ||
[[Category:Interseptimal]] | [[Category:Interseptimal intervals]] | ||
[[Category:Naiadic]] | [[Category:Naiadic]] | ||
[[Category:Taxicab-2]] | [[Category:Taxicab-2 intervals]] | ||
Latest revision as of 05:12, 21 July 2025
| Interval information |
[sound info]
In 17-limit just intonation, 17/13 is the septendecimal subfourth, measuring about 464.4¢. It differs from the 4/3 perfect fourth by the comma 52/51, about 33.6¢. 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 0.1 cents flat of 31edo's subfourth of 464.52¢ (12\31). In fact, a circle of 31 pure 17/13's closes with an error of only 2.74c (relative error 7.1%).