Nadir comma: Difference between revisions
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'''1162261467/1048576000''', the '''nadir comma''', generates the [[nadir]] temperament. It has a melodic shape similar to [[porcupine]] or [[Meantone_family#Trimean|trimean]], with a neutral second generator close to [[11/10]], three of which approximate [[4/3]]. | '''1162261467/1048576000''', the '''nadir comma''', generates the [[nadir]] temperament. | ||
It has a melodic shape similar to [[porcupine]] or [[Meantone_family#Trimean|trimean]], with a neutral second generator close to [[11/10]], three of which approximate [[4/3]]. | |||
However, the best approximation to the 5th harmonic is both more complex and causes more damage to the other intervals, leaving it unused for actual composition so far. | However, the best approximation to the 5th harmonic is both more complex and causes more damage to the other intervals, leaving it unused for actual composition so far. | ||
It is the furthest 5-limit temperament on the [[Syntonic | It is the furthest 5-limit temperament on the [[Syntonic–chromatic equivalence continuum]] that has patent vals other than [[7edo]], hence the name nadir. | ||
It was named by [[user:CompactStar|CompactStar]]. | It was named by [[user:CompactStar|CompactStar]]. | ||
[[Category:Commas named for their regular temperament properties]] | |||