120/119: Difference between revisions

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'''120/119''' is a 17-limit superparticular ratio of about 14.49 cents. It is the difference between [[20/17]] and [[7/6]], or [[17/10]] and [[12/7]]. 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's Thoughts on Septimal Harmony and 22 EDO|William Lynch]] calls this the minor tetrad, and so equating it with the inverse of the major tetrad is quite useful.
'''120/119''' is a 17-limit superparticular ratio 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's Thoughts on Septimal Harmony and 22 EDO|William Lynch]] calls this the minor tetrad, and so equating it with the inverse of the major tetrad is quite useful.


[[Category:Interval ratio]]
[[Category:Interval ratio]]

Revision as of 14:26, 19 October 2021

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 suroyo comma
Color name suruyo negative 2nd, 17ury-2
FJS name [math]\displaystyle{ \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
Open this interval in xen-calc

120/119 is a 17-limit superparticular ratio 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.