3136/3135

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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 0.55213971¢
Names neomirkwai comma,
neomirkwaisma
Color name 19u1uzzg2,
nuluzozogu 2nd,
Nuluzozogu comma
FJS name [math]\text{m2}^{7,7}_{5,11,19}[/math]
Special properties square superparticular,
reduced
Tenney height (log2 nd) 23.229
Weil height (log2 max(n, d)) 23.2294
Wilson height (sopfr (nd)) 64
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.39877 bits
Comma size unnoticeable
S-expressions S56,
S96 × S97 × S98
open this interval in xen-calc

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