23/18

Interval information

Ratio	23/18
Subgroup monzo	2.3.23 [-1 -2 1⟩
Size in cents	424.3643¢
Name	vicesimotertial major third
Color name	23o4, twetho 4th
FJS name	[math]\displaystyle{ \text{M3}^{23} }[/math]
Special properties	reduced
Tenney height (log2 nd)	8.69349
Weil height (log2 max(n, d))	9.04712
Wilson height (sopfr(nd))	31
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23/18, the vicesimoterial major third, is a 23-limit interval that is the mediant between 9/7 and 14/11, giving it a character that is somewhere between the gentle undecimal thirds and the more strident septimal supermajor ones. It is sharp of the Pythagorean major third by a vicesimoterial formal comma, 736/729.

Approximation

This interval is decently represented by 6 steps of 17edo, and near perfectly by 29 steps of 82edo. If used as a generator, it creates squares temperament.

See also

• 36/23 – its octave complement
• 27/23 – its fifth complement
• Gallery of just intervals