This means the fifth is flattened by 1/4 of the syntonic comma (81/80 ratio) of 21.506 cents, which is to say by 5.377 cents, hence the name quarter-comma or 1/4-comma meantone. It is the tuning where the major third (5/4) is tuned pure, and the minor third (6/5) and the fifth are equally flat by 1/4 syntonic comma.
- What is quarter-comma meantone temperament?
- How do you tune a quarter-comma Meantone?
- Is Meantone just intonation?
What is quarter-comma meantone temperament?
As discussed above, in the quarter-comma meantone temperament, the ratio of a greater (diatonic) semitone is S = 8:5 5⁄4, the ratio of a lesser (chromatic) semitone is X = 5 7⁄4:16, the ratio of most whole tones is T = √5:2, the ratio of most fifths is P = 4√5.
How do you tune a quarter-comma Meantone?
You can eliminate this ensemble conflict by starting your Quarter-comma Meantone from the usual a' tuning fork, tuning down the octave to a, then the pure Major third down to f. Divide that f–a third into your four quarter-comma narrow fifths, making f–c', g–d', c'–g' and d'–a' sound equally rough.
Is Meantone just intonation?
Meantone temperament provided an alternative to just intonation, which derived the proper tuning of all the intervals in the scale by various additions and subtractions of perfect natural fifths and thirds (in tune with the fifths and thirds found in the natural harmonic series, perceivable as faint overtones above a ...