120/119
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Ratio | 120/119 |
Factorization | 2^{3} × 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 (log_{2} 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.