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
Comma size	unnoticeable
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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.

Temperaments

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 out if and only if the edo is divisible by 9.

In the full 7-limit, tempering it out leads to the septiennealimmal temperament (cf. septimal ennealimmal temperament). You may find a list of good equal temperaments that support this temperament below.

Septiennealimmal

Subgroup: 2.3.5.7

Mapping: [⟨9 0 0 11], ⟨0 1 0 1], ⟨0 0 1 0]]

Mapping generators: ~2592/2401, ~3, ~5

Badness: 0.502 × 10^-3

See also

• Unnoticeable comma