3136/3135
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Ratio | 3136/3135 |
Factorization | 2^{6} × 3^{-1} × 5^{-1} × 7^{2} × 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 (log_{2} nd) | 23.229 |
Weil height (log_{2} 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.