3136/3135

Interval information

Ratio	3136/3135
Factorization	26 × 3-1 × 5-1 × 72 × 11-1 × 19-1
Monzo	[6 -1 -1 2 -1 0 0 -1⟩
Size in cents	0.5521397¢
Names	neomirkwai comma, neomirkwaisma
Color name	19u1uzzg2, nuluzozogu 2nd, Nuluzozogu comma
FJS name	[math]\displaystyle{ \text{m2}^{7,7}_{5,11,19} }[/math]
Special properties	square superparticular, reduced
Tenney norm (log2 nd)	23.229
Weil norm (log2 max(n, d))	23.2294
Wilson norm (sopfr(nd))	64
Comma size	unnoticeable
S-expressions	S56, S96⋅S97⋅S98
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3136/3135, the neomirkwaisma or neomirkwai comma, is a 19-limit superparticular comma of about 0.55 cents. It is the amount by which a stack consisting of 11/8, 15/14 and 19/14 falls short of an octave. By tempering it out is defined the neomirkwaismic temperament, which enables the neomirkwaismic chords.

Etymology

The names neomirkwaisma and neomirkwai comma were named by Xenllium in 2023. The indra temperament (31&41&80, an 11-limit extension of the mirkwai temperament) can be extended to the 2.3.5.7.11.19 subgroup by tempering out 400/399, 1540/1539, 2304/2299 or 3136/3135.

See also

• Unnoticeable comma
• List of superparticular intervals