Izar comma

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.

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
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Temperaments

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.

Etymology

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