Secorian comma: Difference between revisions

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

Latest revision as of 10:25, 28 March 2026

28672/28431, the secorian comma, is a small 13-limit comma measuring about 14.6 cents. It 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.

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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 a [[small comma|small]] [[13-limit]] [[comma]] measuring about 14.6 [[cent]]s. It 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 [[edo]]s {{EDOs| 17, 29, 46, 58, 63, 80, 87, and 121 }}.
+[[Category:Secorian]]
+[[Category:Commas named after composers]]
+[[Category:Commas named after music theorists]]