4107/4096: Difference between revisions

Interval information
Ratio	4107/4096
Subgroup monzo	2.3.37 [-12 1 2⟩
Size in cents	4.643078¢
Name	sematology comma
FJS name	[math]\displaystyle{ \text{m}{-2}^{37,37} }[/math]
Special properties	reduced,; reduced harmonic
Tenney norm (log2 nd)	24.0039
Weil norm (log2 max(n, d))	24.0077
Wilson norm (sopfr(nd))	101
Comma size	small
	Open this interval in xen-calc

Latest revision as of 03:17, 18 August 2026

4107/4096, the sematology comma, is a small 37-limit (specifically 2.3.37-subgroup) comma of about 4.64 cents. It is the amount by which a stack of two 37/32's exceeds the perfect fourth.

Tempering out this comma in the 2.3.37 subgroup leads to the sematology temperament, which equates the perfect fourth with a stack of two 37/32's .

@@ Line 1: / Line 1: @@
-'''4107/4096''', the '''interfourth comma''', is an [[Small comma|small]] [[37-limit]] (2.3.37-[[Just intonation subgroup|subgroup]]) [[comma]] of about 4.64 [[Cent|cents]]. It is the amount by which a [[Stacking|stack]] of two [[37/32]]'s (the [[Octave reduction|octave reduced]] 37th [[harmonic]]) exceeds [[4/3]] (the perfect fourth). [[Tempering out|Tempering]] it leads to the interfourth [[temperament]], which equates half a [[4/3]] (sqrt(4/3)) with [[37/32]].
+{{Infobox interval
+| Name = sematology comma
+| Comma = Yes
+}}
+'''4107/4096''', the '''sematology comma''', is a [[small comma|small]] [[37-limit]] (specifically 2.3.37-[[subgroup]]) [[comma]] of about 4.64 [[cent]]s. It is the amount by which a stack of two [[37/32]]'s exceeds the [[4/3|perfect fourth]].
-{{Infobox interval|Name=interfourth comma (jdoooodsma)|Comma=Yes}}
+== Temperaments ==
+[[Tempering out]] this comma in the 2.3.37 subgroup leads to the [[sematology]] temperament, which equates the perfect fourth with a stack of two 37/32's .