Nadir comma: Difference between revisions

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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. Nadir has a melodic shape in between that of [[flattone]] and [[7edo]]. It is the furthest valid 5-limit temperament before 7edo on that spectrum, hence the name nadir. It was named by [[user:CompactStar|CompactStar]].

Revision as of 12:29, 6 February 2024

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Interval information
Ratio 1162261467/1048576000
Factorization 2-23 × 319 × 5-3
Monzo [-23 19 -3
Size in cents 178.2039¢
Name nadir comma
FJS name [math]\displaystyle{ \text{A1}_{5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 60.0801
Weil norm (log2 max(n, d)) 60.2286
Wilson norm (sopfr(nd)) 118
Comma size large
Open this interval in xen-calc

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 5-limit temperament before 7edo on that spectrum, hence the name nadir. It was named by CompactStar.