Secorian comma: Difference between revisions

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'''28672/28431''', the '''secorian comma''', is made up of ([[896/891]] × [[352/351]]), or in other words (352/351 × [[364/363]] × 352/351), and is thus [[10648/10647]] smaller than (352/351)<sup>3</sup>.
'''28672/28431''', the '''secorian comma''', is made up of ([[896/891]] × [[352/351]]), or in other words (352/351 × [[364/363]] × 352/351), and is thus [[10648/10647]] smaller than (352/351)<sup>3</sup>. It is the difference between [[14/13]] and [[2187/2048]], and is tempered out in [[parapyth]], as well as edos {{edos|17, 29, 46, 58, 63, 80, 87, and 121}}.


{{todo|improve synopsis}}
{{todo|improve synopsis}}
[[Category:Commas named after composers]]
[[Category:Commas named after composers]]
[[Category:Commas named after music theorists]]
[[Category:Commas named after music theorists]]

Revision as of 22:35, 18 November 2025

Interval information
Ratio 28672/28431
Factorization 212 × 3-7 × 7 × 13-1
Monzo [12 -7 0 1 0 -1
Size in cents 14.61324¢
Name secorian comma
Color name s3uz2, sathuzo 2nd,
Sathuzo comma
FJS name [math]\displaystyle{ \text{m2}^{7}_{13} }[/math]
Special properties reduced
Tenney norm (log2 nd) 29.6025
Weil norm (log2 max(n, d)) 29.6147
Wilson norm (sopfr(nd)) 65
Comma size small
Open this interval in xen-calc

28672/28431, the secorian comma, is made up of (896/891 × 352/351), or in other words (352/351 × 364/363 × 352/351), and is thus 10648/10647 smaller than (352/351)3. It is the difference between 14/13 and 2187/2048, and is tempered out in parapyth, as well as edos 17, 29, 46, 58, 63, 80, 87, and 121.