Nadir comma: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 1162261467/1048576000
| Ratio = 1162261467/1048576000
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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]]. 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-chromatic equivalence continuum]] that has patent vals other than [[7edo]], hence the name nadir. It was named by [[user:CompactStar|CompactStar]].
'''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.  
 
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]].