406/405: Difference between revisions

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Created page with "{{Infobox interval|Ratio=406/405|Name=minor semivinema|Color name=Twenozogu 2nd|Comma=yes}} '''406/405''', the '''minor semivinema''' is a comma in the 29-limit. It fo..."
 
Lériendil (talk | contribs)
m 5103/5103 lol
 
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{{Infobox interval|Ratio=406/405|Name=minor semivinema|Color name=Twenozogu 2nd|Comma=yes}}
{{Infobox interval
'''406/405''', the '''minor semivinema''' is a [[comma]] in the [[29-limit]]. It forms the difference between [[29/27]] (vicesimononal semitone) and [[15/14]].
| Ratio = 406/405
| Name = minor semivinema
| Color name = Twenozogu 2nd
| Comma = yes
}}
'''406/405''', the '''minor semivinema''' is a [[small comma|small]] [[29-limit]] (also 2.3.5.7.29-[[subgroup]]) [[comma]]. It forms the difference between [[29/27]] and [[15/14]], and between [[30/29]] and [[28/27]].
 
== Commatic relations ==
This comma may be found as the difference between the following superparticular ratios:
* [[91/90]] and [[117/116]]
* [[116/115]] and [[162/161]]
* [[136/135]] and [[204/203]]
* [[145/144]] and [[225/224]]
* [[196/195]] and [[378/377]]
* [[232/231]] and [[540/539]]
* [[261/260]] and [[729/728]]
* [[325/324]] and [[1625/1624]]
* [[343/342]] and [[2205/2204]]
* [[352/351]] and [[2640/2639]]
* [[361/360]] and [[3249/3248]]
* [[364/363]] and [[3510/3509]]
* [[385/384]] and [[7425/7424]]
* [[391/390]] and [[10557/10556]]
* [[392/391]] and [[11340/11339]]
* [[400/399]] and [[27000/26999]]
 
It factors into the following superparticular ratios:
* [[784/783]] and [[841/840]]
* [[676/675]] and [[1015/1014]]
* [[609/608]] and [[1216/1215]]
* [[595/594]] and [[1276/1275]]
* [[551/550]] and [[1540/1539]]
* [[476/475]] and [[2755/2754]]
* [[460/459]] and [[3451/3450]]
* [[441/440]] and [[5104/5103]]


== Etymology ==
== Etymology ==
The word ''semivinema'' was introduced by [[User:Xenllium|Xenllium]] in 2024. It is a contraction of ''vicesimononal semitone comma'' into a single word.
The word ''semivinema'' was introduced by [[User:Xenllium|Xenllium]] in 2024. It is a contraction of ''vicesimononal semitone comma'' into a single word, where ''vicesimononal semitone'' refers to 29/27.


== See also ==
== See also ==
* [[378/377]] – major semivinema
* [[378/377]] – major semivinema
* [[Small comma]]
* [[List of superparticular intervals]]
* [[List of superparticular intervals]]
[[Category:Commas named for the intervals they stack]]

Latest revision as of 18:28, 18 September 2025

Interval information
Ratio 406/405
Subgroup monzo 2.3.5.7.29 [1 -4 -1 1 1
Size in cents 4.269383¢
Name minor semivinema
Color name Twenozogu 2nd
FJS name [math]\displaystyle{ \text{d2}^{7,29}_{5} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 17.3271
Weil norm (log2 max(n, d)) 17.3307
Wilson norm (sopfr(nd)) 55
Comma size small
S-expression S28⋅S29
Open this interval in xen-calc

406/405, the minor semivinema is a small 29-limit (also 2.3.5.7.29-subgroup) comma. It forms the difference between 29/27 and 15/14, and between 30/29 and 28/27.

Commatic relations

This comma may be found as the difference between the following superparticular ratios:

It factors into the following superparticular ratios:

Etymology

The word semivinema was introduced by Xenllium in 2024. It is a contraction of vicesimononal semitone comma into a single word, where vicesimononal semitone refers to 29/27.

See also