135/112: Difference between revisions

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'''135/112''', the '''large septimal minor third''', or '''marvelous minor third''', is a [[7-limit]] interval which has the distinction of being almost half of a [[16/11]] minor fifth- in fact, a stack of two 135/112 differs from [[16/11]] by 200704/200475, a comma less than two cents in size.
'''135/112''', the '''septimal wide minor third''', or '''marvelous minor third''', is a [[7-limit]] interval which has the distinction of being almost half of a [[16/11]] minor fifth- in fact, a stack of two 135/112 differs from [[16/11]] by 200704/200475, a comma less than two cents in size.


== See also ==
== See also ==

Revision as of 03:32, 29 November 2020

Interval information
Ratio 135/112
Factorization 2-4 × 33 × 5 × 7-1
Monzo [-4 3 1 -1⟩
Size in cents 323.3528¢
Names septimal wide minor third,
marvelous minor third
FJS name [math]\displaystyle{ \text{A2}^{5}_{7} }[/math]
Special properties reduced
Tenney height (log2 nd) 13.8842
Weil height (log2 max(n, d)) 14.1536
Wilson height (sopfr(nd)) 29
Open this interval in xen-calc

135/112, the septimal wide minor third, or marvelous minor third, is a 7-limit interval which has the distinction of being almost half of a 16/11 minor fifth- in fact, a stack of two 135/112 differs from 16/11 by 200704/200475, a comma less than two cents in size.

See also

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