Quarter-comma Meantone - Alternative Construction

Alternative Construction

As discussed above, in the quarter-comma meantone temperament,

  • the ratio of a greater (diatonic) semitone is
  • the ratio of a lesser (chromatic) semitone is
  • the ratio of most whole tones is
  • the ratio of most fifths is

It can be verified through calculation that most whole tones (namely, the major seconds) are composed of one greater and one lesser semitone:

Similarly, a fifth is typically composed of three tones and one greater semitone:

which is equivalent to four greater and three lesser semitones:

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