3136/3135

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.

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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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