120/119

Interval information

Ratio	120/119
Factorization	23 × 3 × 5 × 7-1 × 17-1
Monzo	[3 1 1 -1 0 0 -1⟩
Size in cents	14.4874¢
Name	lynchisma
Color name	17ury-2, suruyo negative 2nd, Suruyo comma
FJS name	[math]\text{d}{-2}^{5}_{7,17}[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	13.8017
Weil height (log2 max(n, d))	13.8138
Wilson height (sopfr(nd))	38
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~2.87488 bits
Comma size	small
S-expressions	S15 × S16, S18 × S19 × S20
open this interval in xen-calc

120/119, the lynchisma is the 17-limit superparticular comma of about 14.49 cents. It is the difference between 20/17 and 7/6, 17/10 and 12/7, or 30/17 and 7/4. Tempering this comma allows you to assign 10:12:15:17 as the inverse of 4:5:6:7, a much simpler version of what would otherwise be 70:84:105:120. William Lynch calls this the minor tetrad, and so equating it with the inverse of the major tetrad is quite useful.

By tempering it out is defined the lynchismic temperament, which enables the lynchismic chords. EDOs supporting this temperament includes 10, 12, 19, 22, 26, 31, 41 and 53.