28/27: Difference between revisions
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The [[superparticular]] interval '''28/27''', '''septimal third-tone''' has the seventh triangular number as a numerator and is the difference between [[15/14]] and [[10/9]], [[9/8]] and [[7/6]], [[9/7]] and [[4/3]], [[3/2]] and [[14/9]], [[12/7]] and [[16/9]], and [[9/5]] and [[28/15]]. | The [[superparticular]] interval '''28/27''', '''septimal third-tone''' has the seventh triangular number as a numerator and is the difference between [[15/14]] and [[10/9]], [[9/8]] and [[7/6]], [[9/7]] and [[4/3]], [[3/2]] and [[14/9]], [[12/7]] and [[16/9]], and [[9/5]] and [[28/15]]. | ||
It is very accurately approximated by [[19edo]] (1\19), and hence the [[enneadecal]] temperament. | It is very accurately approximated by [[19edo|19EDO]] (1\19), and hence the [[enneadecal]] temperament. | ||
== Terminology == | == Terminology == | ||
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* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
* [[Trienstonic clan]], where it is tempered out | * [[Trienstonic clan]], where it is tempered out | ||
* [[Trienstonisma]], the difference by which a stack of five 28/27s falls short of [[6/5]] | |||
* [[Wikipedia: Septimal third tone]] | * [[Wikipedia: Septimal third tone]] | ||