Izar comma: Difference between revisions

Interval information
Ratio	13841287201/13839609375
Factorization	3-11 × 5-7 × 712
Monzo	[0 -11 -7 12⟩
Size in cents	0.2098711¢
Names	izar comma,; izarisma,; bapbo schismina
Color name	saquadtrizo-asepgu octave
FJS name	[math]\displaystyle{ \text{9d8}^{7,7,7,7,7,7,7,7,7,7,7,7}_{5,5,5,5,5,5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	67.3763
Weil norm (log2 max(n, d))	67.3765
Wilson norm (sopfr(nd))	152
Comma size	unnoticeable
	Open this interval in xen-calc

Latest revision as of 05:27, 14 March 2026

The izar comma, izarisma or bapbo schismina (ratio: 13841287201/13839609375, monzo: [0 -11 -7 12⟩) is an unnoticeable 3.5.7 subgroup comma with a value of approximately 0.21 ¢. It is the amount by which six intervals of 49/45 exceed 5/3, and in the 3.5.7 subgroup defines a microtemperament known as izar, which is supported not only by 13edt (the equal-tempered Bohlen-Pierce scale) but by various no-twos zeta peaks, such as 800edt, 1342edt, and 6181edt.

Tempering out this comma leads to the rank-three izarismic temperament in the full 7-limit. Rank-two temperaments which temper out this comma include domain, semidimi, and sesquiquartififths.

This comma is named after Izar, Epsilon Boötis, a binary star system in Boötes.

@@ Line 1: / Line 1: @@
-#REDIRECT [[No-twos_subgroup_temperaments#Izar]]
+{{Infobox interval
+| Ratio = 13841287201/13839609375
+| Name = izar comma, izarisma, bapbo schismina
+| Color name = saquadtrizo-asepgu octave
+| Comma = yes
+}}
+The '''izar comma''', '''izarisma''' or '''bapbo schismina''' ([[ratio]]: 13841287201/13839609375, {{monzo|legend=1| 0 -11 -7 12 }}) is an [[Unnoticeable comma|unnoticeable]] [[3.5.7 subgroup]] [[comma]] with a value of approximately 0.21{{cent}}. It is the amount by which six intervals of [[49/45]] exceed [[5/3]], and in the 3.5.7 subgroup defines a [[microtemperament]] known as [[izar]], which is supported not only by [[13edt]] (the equal-tempered [[Bohlen-Pierce]] scale) but by various no-twos [[zeta peak]]s, such as [[800edt]], [[1342edt]], and [[6181edt]].
+== Temperaments ==
+Tempering out this comma leads to the rank-three [[Very high accuracy temperaments #Izarismic|izarismic temperament]] in the full 7-limit. Rank-two temperaments which temper out this comma include [[domain]], [[semidimi]], and [[sesquiquartififths]].
+== Etymology ==
+This comma is named after [[wikipedia:Epsilon Boötis|Izar]], Epsilon Boötis, a binary star system in Boötes.
+[[Category:Izar]]