442/441

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Interval information
Ratio 442/441
Factorization 2 × 3-2 × 7-2 × 13 × 17
Monzo [1 -2 0 -2 0 1 1
Size in cents 3.9212566¢
Name seminaiadma
Color name 17o3orr1, Sothoruru 1sn
Sothoruru comma
FJS name [math]\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
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.34133 bits
Comma size small
open this interval in xen-calc

442/441, the seminaiadma, is a small 17-limit superparticular comma about 3.9 cents in size. It is the difference between 21/17 and 26/21, and 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. By tempering it out is defined the seminaiadmic temperament, which enables the seminaiadmic chords.

Commatic relations

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

It factors into the following superparticular pairs:

Etymology

The name seminaiadma was named by Xenllium in 2023, for the following reasons - its size is about a half of minor naiadma, 221/220 (similar to semicomma, whose size is about a half of syntonic comma). Tempering it out leads equating 21/17 and 26/21 into a single submajor third interval, two of which give an interseptimal interval, 26/17 (octave complement of a naiadic interval, 17/13).

See also