Decovulture comma: Difference between revisions

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The '''decovulture comma''' ({{monzo|legend=1| 26 -7 -4 -2 }}, [[ratio]]: 67108864/66976875) is an [[unnoticeable comma]] in the [[7-limit]] with a size of about 3.41 [[cents]]. It is the difference between [[49/48]] and a stack of two [[diaschisma]]s.  
The '''decovulture comma''' ({{monzo|legend=1| 26 -7 -4 -2 }}, [[ratio]]: 67108864/66976875) is an [[unnoticeable comma]] in the [[7-limit]] with a size of about 3.41 [[cents]]. It is the difference between [[49/48]] and a stack of two [[diaschisma]]s.  


It factors into ([[676/675]])⋅([[4096/4095]])<sup>2</sup> in the [[2.3.5.7.13 subgroup]].  
It factors into ([[5632/5625]])⋅([[131072/130977]]) in the [[11-limit]], and ([[676/675]])⋅([[4096/4095]])<sup>2</sup> in the [[2.3.5.7.13 subgroup]].  


== Temperaments ==
== Temperaments ==

Latest revision as of 15:17, 14 July 2026

Interval information
Ratio 67108864/66976875
Factorization 226 × 3-7 × 5-4 × 7-2
Monzo [26 -7 -4 -2
Size in cents 3.408326¢
Name Decovulture comma
FJS name [math]\displaystyle{ \text{dd2}_{5,5,5,5,7,7} }[/math]
Special properties reduced,
reduced subharmonic
Tenney norm (log2 nd) 51.9972
Weil norm (log2 max(n, d)) 52
Wilson norm (sopfr(nd)) 107
Comma size unnoticeable
Open this interval in xen-calc

The decovulture comma (monzo[26 -7 -4 -2, ratio: 67108864/66976875) is an unnoticeable comma in the 7-limit with a size of about 3.41 cents. It is the difference between 49/48 and a stack of two diaschismas.

It factors into (5632/5625)⋅(131072/130977) in the 11-limit, and (676/675)⋅(4096/4095)2 in the 2.3.5.7.13 subgroup.

Temperaments

Tempering out this comma in the 7-limit leads to the decovulture temperament.

Etymology

This comma was named by Xenllium in 2021 as a contraction of decoid and vulture, two of the rank-2 temperaments tempering it out.