4200/4199

Interval information

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	0.4122477¢
Name	neosatanisma
Color name	19u17u3uzyy-2, nusuthuzoyoyo negative 2nd, Nusuthuzoyoyo comma
FJS name	[math]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~1.20068 bits
Comma size	unnoticeable
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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.

See also

• Unnoticeable comma
• List of superparticular intervals