17/13: Difference between revisions
m +category |
mNo edit summary |
||
| Line 12: | Line 12: | ||
In [[17-limit]] [[Just Intonation]], '''17/13''' is the '''septendecimal sub-fourth''', 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 sub-fourth''', 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 0.2 cents flat of [[31edo]]'s subfourth of 464.52¢ (12\31). | It is less than 0.2 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 == | ||