320/319: Difference between revisions

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{{Infobox interval|Ratio=320/319|Name=minor paravinema|Color name=Twenuluyo unison|Comma=yes}}
{{Infobox interval
'''320/319''', the '''minor paravinema''' is a [[comma]] in the [[29-limit]]. It forms the difference between [[40/29]] (small vicesimononal paramajor fourth) and [[11/8]].
| Ratio = 320/319
| Name = minor paravinema
| Color name = Twenuluyo unison
| Comma = yes
}}
'''320/319''', the '''minor paravinema''', is a [[small comma|small]] [[29-limit]] (also 2.5.11.29-[[subgroup]]) [[comma]]. It forms the difference between [[32/29]] and [[11/10]], between [[40/29]] and [[11/8]], and between [[30/29]] and [[33/32]].  
 
== Commatic relations ==
This comma may be found as the difference between the following superparticular ratios:
* [[88/87]] and [[121/120]]
* [[100/99]] and [[145/144]]
* [[144/143]] and [[261/260]]
* [[175/174]] and [[385/384]]
* [[204/203]] and [[561/560]]
* [[210/209]] and [[609/608]]
* [[232/231]] and [[841/840]]
* [[256/255]] and [[1276/1275]]
* [[276/275]] and [[2001/2000]]
* [[300/299]] and [[4785/4784]]
 
It factors into the following superparticular ratios:
* [[540/539]] and [[784/783]]
* [[551/550]] and [[760/759]]
* [[400/399]] and [[1596/1595]]
* [[378/377]] and [[2080/2079]]
* [[375/374]] and [[2176/2175]]
* [[364/363]] and [[2640/2639]]
* [[352/351]] and [[3510/3509]]
* [[325/324]] and [[20736/20735]]
* [[324/323]] and [[25840/25839]]


== Etymology ==
== Etymology ==
The word ''paravinema'' was introduced by [[User:Xenllium|Xenllium]] in 2024. It is a contraction of ''paramajor vicesimononal comma'' into a single word.
The word ''paravinema'' was introduced by [[User:Xenllium|Xenllium]] in 2024. It is a contraction of ''paramajor vicesimononal comma'' into a single word, where ''paramajor'' refers to 40/29, a paramajor fourth.  


== See also ==
== See also ==
* [[232/231]] – major paravinema
* [[232/231]] – major paravinema
* [[Small comma]]
* [[List of superparticular intervals/29-limit]]
* [[List of superparticular intervals]]


[[Category:Commas named for the intervals they stack]]
[[Category:Commas named for the intervals they stack]]

Latest revision as of 12:35, 17 September 2025

Interval information
Ratio 320/319
Subgroup monzo 2.5.11.29 [6 1 -1 -1
Size in cents 5.418577¢
Name minor paravinema
Color name Twenuluyo unison
FJS name [math]\displaystyle{ \text{A1}^{5}_{11,29} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 16.6393
Weil norm (log2 max(n, d)) 16.6439
Wilson norm (sopfr(nd)) 57
Comma size small
S-expression S30⋅S31⋅S32
Open this interval in xen-calc

320/319, the minor paravinema, is a small 29-limit (also 2.5.11.29-subgroup) comma. It forms the difference between 32/29 and 11/10, between 40/29 and 11/8, and between 30/29 and 33/32.

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 paravinema was introduced by Xenllium in 2024. It is a contraction of paramajor vicesimononal comma into a single word, where paramajor refers to 40/29, a paramajor fourth.

See also