Septimal ennealimma

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

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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.

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.

Septimal ennealimma

See also