4200/4199
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Ratio | 4200/4199 |
Factorization | 23 × 3 × 52 × 7 × 13-1 × 17-1 × 19-1 |
Monzo | [3 1 2 1 0 -1 -1 -1⟩ |
Size in cents | 0.41224766¢ |
Name | neosatanisma |
Color name | 19u17u3uzyy-2, nusuthuzoyoyo negative 2nd, Nusuthuzoyoyo comma |
FJS name | [math]\text{dd}{-2}^{5,5,7}_{13,17,19}[/math] |
Special properties | superparticular, reduced |
Tenney height (log2 nd) | 24.072 |
Weil height (log2 max(n, d)) | 24.0723 |
Wilson height (sopfr (nd)) | 75 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.20068 bits |
Comma size | unnoticeable |
open this interval in xen-calc |
4200/4199, the neosatanisma is a 19-limit superparticular comma of about 0.41 cents. It is the amount by which a stack consisting of 14/13, 20/17 and 20/19 exceeds 4/3. By tempering it out is defined the neosatanismic temperament, which enables the neosatanismic chords.
Etymology
The name neosatanisma was named by Xenllium in 2023. Aside from the satanic comma, 665edo, 3325edo and 3990edo temper out 4200/4199, 6860/6859, 285719/285610, 369664/369603 and 781250/780759 in the 2.3.5.7.13.17.19 subgroup.