Septimal ennealimma: Difference between revisions

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The '''septimal ennealimma''', '''septiennealimma''' or '''no-five ennealimma''' is an unnoticeable 7-limit comma defined as 40353607/40310784 and measuring 1.838 cents. It arises as a stack between nine [[7/6]]s and two octaves.  
The '''septimal ennealimma''', '''septiennealimma''' or '''no-five ennealimma''' is an unnoticeable 7-limit comma defined as 40353607/40310784 and measuring 1.838 cents. It arises as a stack between nine [[7/6]]'s and two octaves.  


Tempering it out leads to the 7-limit version of the [[ennealimmal temperament]], which is a subset of the [[tritrizo clan]]. For edos up to circa 3000, it is tempered if and only if the edo is divisible by 9.
In the 2.3.7 subgroup, tempering it out leads to the 2.3.7 version of the [[ennealimmal temperament]], which is a member of the [[tritrizo clan]]. For edos up to circa 3000, it is tempered if and only if the edo is divisible by 9.


== See also ==
== See also ==

Revision as of 19:01, 7 November 2021

Interval information
Ratio 40353607/40310784
Factorization 2-11 × 3-9 × 79
Monzo [-11 -9 0 9
Size in cents 1.83815¢
Names septimal ennealimma,
septiennealimma,
no-five ennealimma
Color name tritrizo comma
FJS name [math]\displaystyle{ \text{dddd5}^{7,7,7,7,7,7,7,7,7} }[/math]
Special properties reduced
Tenney height (log2 nd) 50.5309
Weil height (log2 max(n, d)) 50.5324
Wilson height (sopfr(nd)) 112
Open this interval in xen-calc

The septimal ennealimma, septiennealimma or no-five ennealimma is an unnoticeable 7-limit comma defined as 40353607/40310784 and measuring 1.838 cents. It arises as a stack between nine 7/6's and two octaves.

In the 2.3.7 subgroup, tempering it out leads to the 2.3.7 version of the ennealimmal temperament, which is a member of the tritrizo clan. For edos up to circa 3000, it is tempered if and only if the edo is divisible by 9.

See also