406/405

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:

• 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 5103/5103

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

• 378/377 – major semivinema
• List of superparticular intervals