320/319

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
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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:

• 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

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

• 232/231 – major paravinema
• List of superparticular intervals/29-limit