# 120/119

 Ratio 120/119 Factorization 23 × 3 × 5 × 7-1 × 17-1 Monzo [3 1 1 -1 0 0 -1⟩ Size in cents 14.487399¢ Name lynchisma Color name 17ury-2, suruyo negative 2nd,Suruyo comma FJS name $\text{d}{-2}^{5}_{7,17}$ Special properties superparticular,reduced Tenney height (log2 n⋅d) 13.8017 Weil height (max(n, d)) 120 Benedetti height (n⋅d) 14280 Harmonic entropy(Shannon, $\sqrt{n\cdot d}$) ~3.18012 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.