Izar comma: Difference between revisions

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#REDIRECT [[No-twos_subgroup_temperaments#Izar]]
{{Infobox Interval
| Ratio = 13841287201/13839609375
| Name = izar comma
| Color name = TBD
| Comma = yes
}}
The '''izar comma''' ([[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]].
 
{{stub}}

Revision as of 06:20, 13 October 2025

Interval information
Ratio 13841287201/13839609375
Factorization 3-11 × 5-7 × 712
Monzo [0 -11 -7 12
Size in cents 0.2098711¢
Name izar comma
Color name TBD
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

The izar comma (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.

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