6175/6174

Interval information

Ratio	6175/6174
Factorization	2-1 × 3-2 × 52 × 7-3 × 13 × 19
Monzo	[-1 -2 2 -3 0 1 0 1⟩
Size in cents	0.2803845¢
Names	neonewt comma, neonewtisma
Color name	19o3or3yy-2, nothotriru-ayoyo negative 2nd, Nothotriru-ayoyo comma
FJS name	[math]\displaystyle{ \text{m}{-2}^{5,5,13,19}_{7,7,7} }[/math]
Special properties	superparticular, reduced
Tenney norm (log2 nd)	25.1842
Weil norm (log2 max(n, d))	25.1844
Wilson norm (sopfr(nd))	71
Comma size	unnoticeable
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6175/6174, the neonewtisma or neonewt comma, is a 19-limit superparticular comma of about 0.28 cents. It is the amount by which a stack consisting of 7/5, 9/5, 14/13 and 28/19 falls short of two octaves. By tempering it out is defined the neonewtismic temperament, which enables the neonewtismic chords.

Etymology

The names neonewtisma and neonewt comma were named by Xenllium in 2023. The rank-three temperament which tempers out 2080/2079, 2401/2400 and 4096/4095 (lif temperament, 41&130&140) can be extended to the 2.3.5.7.11.13.19 subgroup by tempering out 1216/1215, 1729/1728, 2926/2925, 3136/3135 or 6175/6174, and the rank-two 2.3.5.7.11.13.19 subgroup 41&270 temperament (neonewt) also supports it.

See also

• Unnoticeable comma
• List of superparticular intervals