117/112

Interval information

Ratio	117/112
Factorization	2-4 × 32 × 7-1 × 13
Monzo	[-4 2 0 -1 0 1⟩
Size in cents	75.61176¢
Name	secorian limma
Color name	3or1, thoru unison
FJS name	[math]\displaystyle{ \text{P1}^{13}_{7} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	13.6777
Weil norm (log2 max(n, d))	13.7407
Wilson norm (sopfr(nd))	34
Comma size	medium
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117/112, the secorian limma, is a 13-limit interval. It is a Pythagorean limma minus a secorian comma, from which it derives its name. It can also be seen as:

• The difference between 39/32 and 7/6 or between 16/13 and 9/7;
• The difference between 14/13 and 9/8, or between 32/27 and 26/21;
• A stack of 1053/1024 and 64/63;
• 22/21 minus 352/351.

Much like 22/21, in many notation systems (e.g. FJS, HEJI), it is an imperfect unison, as it is the stack of a tridecimal quartertone (1053/1024) and a septimal comma (64/63), neither of which changes the scale degree or quality.