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:
Read more about this topic: Quarter-comma Meantone
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