120/119

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Interval information
Ratio 120/119
Factorization 23 × 3 × 5 × 7-1 × 17-1
Monzo [3 1 1 -1 0 0 -1
Size in cents 14.487399¢
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 n⋅d) 13.8017
Weil height (max(n, d)) 120
Benedetti height (n⋅d) 14280
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~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.