378/377

Interval information

Ratio	378/377
Factorization	2 × 33 × 7 × 13-1 × 29-1
Monzo	[1 3 0 1 0 -1 0 0 0 -1⟩
Size in cents	4.586053¢
Name	major semivinema
Color name	Twenuthuzo unison
FJS name	[math]\displaystyle{ \text{A1}^{7}_{13,29} }[/math]
Special properties	superparticular, reduced
Tenney norm (log2 nd)	17.1207
Weil norm (log2 max(n, d))	17.1245
Wilson norm (sopfr(nd))	60
Comma size	small
S-expression	S27⋅S28
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378/377, the major semivinema is a small 29-limit (also 2.3.7.13.29-subgroup) comma. It forms the difference between 29/27 and 14/13, between 29/18 and 21/13, between 29/21 and 18/13, and between 29/28 and 27/26.

Commatic relations

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

• 105/104 and 145/144
• 117/116 and 169/168
• 144/143 and 232/231
• 175/174 and 325/324
• 196/195 and 406/405
• 204/203 and 442/441
• 261/260 and 841/840
• 300/299 and 1450/1449
• 320/319 and 2080/2079
• 324/323 and 2262/2261
• 351/350 and 4901/4900
• 352/351 and 5104/5103
• 364/363 and 9802/9801
• 375/374 and 47125/47124

It factors into the following superparticular ratios:

• 729/728 and 784/783
• 552/551 and 1197/1196
• 495/494 and 1596/1595
• 456/455 and 2205/2204
• 441/440 and 2640/2639
• 392/391 and 10557/10556
• 391/390 and 11339/11340
• 385/384 and 20736/20735

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

• 406/405 – minor semivinema
• List of superparticular intervals