Five-limit tuning, 5-limit tuning, or 5-prime-limit tuning (not to be confused with 5-odd-limit tuning), is any system for tuning a musical instrument...

intonation, their harmonic limit may be ambiguous. 3-limit (Pythagorean) tuning Five-limit tuning 7-limit tuning Numerary nexus Otonality and Utonality Tonality...

5-limit tuning yields a much larger number of wolf intervals with respect to Pythagorean tuning, which can be considered a 3-limit just intonation tuning. Namely...

pure intonation is the tuning of musical intervals as whole number ratios (such as 3:2 or 4:3) of frequencies. An interval tuned in this way is said to...

Pythagorean tuning is a broken circle of fifths. This creates two distinct semitones, but because Pythagorean tuning is also a form of 3-limit just intonation...

example, in extended scales produced with five-limit tuning an A♭ tuned as a major third below C5 and a G♯ tuned as two major thirds above C4 are not exactly...

semantic-53 scale. In five-limit tuning, their ratio is complex, measuring 20000 / 19683, or 3125 / 3072. In seven-limit tuning, they can be more simply...

take a specific alternative name in Pythagorean tuning, five-limit tuning, or meantone temperament tuning systems such as quarter-comma meantone. All the...

most typical and traditional tuning of the five-string small kantele is just intonation arrived at via five-limit tuning, often in Dmajor or Dminor. This...

is simply called the diminished third (for further details, see Five-limit tuning § Size of intervals). Some equal temperaments also produce major seconds...