Nadir comma: Difference between revisions

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| Ratio = 1162261467/1048576000
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'''1162261467/1048576000''', the '''nadir comma''', generates the [[nadir]] temperament. Nadir has a melodic shape in between that of [[flattone]] and [[7edo]]. It is the furthest valid temperament before 7edo on that spectrum, 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]].
 
[[Category:Commas named for their regular temperament properties]]