Limma

The word limma or leimma (from Greek: λείμμα, leimma; meaning "remnant") can refer to several different musical intervals, whose only common property is their small size.

More specifically, in Pythagorean tuning (i.e. 3-limit):
and in 5-limit tuning:
  • The 5-limit diatonic semitone, 16/15 (play ). Although closer in size to the Pythagorean apotome than to the limma, it has been so called because of its function as a diatonic semitone rather than a chromatic one.
  • The 5-limit limma (now a diesis), 128/125, the amount by which three just major thirds fall short of an octave (play ).
  • The major limma, 135/128, which is the difference between two major whole tones and a minor third (play ).


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