17/13: Difference between revisions
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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. | 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: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]] | ||
Revision as of 06:23, 20 January 2021
17/13 |0 0 0 0 0 -1 1>
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.
It is less than .2 cents flat of 31edo's subfourth of 464.52c (12\31).