23-limit

In 23-limit Just Intonation, all ratios contain no prime factors higher than 23.

Ratios of 23 in the 23-odd limit include:

24/23 .. 73.681¢

23/22 .. 76.956¢

23/21 .. 157.493¢

26/23 .. 212.253¢

23/20 .. 241.961¢

23/19 .. 330.761¢

28/23 .. 340.552¢

23/18 .. 424.364¢

30/23 .. 459.994¢

23/17 .. 523.319¢

23/16 .. 628.274¢

34/23 .. 676.681¢

32/23 .. 571.726¢

23/15 .. 740.006¢

36/23 .. 775.636¢

23/14 .. 859.448¢

38/23 .. 869.239¢

40/23 .. 958.039¢

23/13 .. 987.747¢

42/23 ..1042.507¢

44/23 .. 1123.044¢

23/12 .. 1126.391¢

94edo is the first EDO to be consistent in the 23-limit. The smallest EDO where the 23-limit is distinctly consistent, meaning each element of the tonality diamond is distinguished, is 282edo.

See: Harmonic Limit, 19-limit, 17-limit