442/441

Interval information

Ratio	442/441
Factorization	2 × 3-2 × 7-2 × 13 × 17
Monzo	[1 -2 0 -2 0 1 1⟩
Size in cents	3.921257¢
Name	seminaiadma
Color name	17o3orr1, Sothoruru 1sn Sothoruru comma
FJS name	[math]\displaystyle{ \text{d1}^{13,17}_{7,7} }[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	17.5725
Weil height (log2 max(n, d))	17.5758
Wilson height (sopfr(nd))	52
Comma size	small
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442/441, the seminaiadma, is a small 17-limit superparticular comma about 3.9 cents in size. It is so named because its size is about a half of minor naiadma, 221/220. It forms the amount by which a stack consisting of 13/8 and 17/16 exceeds a stack of two 21/16s. It differs from 441/440 (werckisma) by 194481/194480 (scintillisma) – an unnoticeable comma measuring ~0.0089 cents.

Commatic relations

This comma identifies itself as the difference between the following superparticular pairs:

• 85/84 and 105/104
• 136/135 and 196/195
• 169/168 and 273/272
• 221/220 and 441/440
• 289/288 and 833/832
• 325/324 and 1225/1224
• 351/350 and 1701/1700
• 364/363 and 2058/2057
• 441/440 and 194481/194480

It factors into the following superparticular pairs:

• 540/539 and 2431/2430
• 561/560 and 2080/2079
• 595/594 and 1716/1715
• 676/675 and 1275/1274
• 715/714 and 1156/1155

See also

• Small comma
• List of superparticular intervals