Naiadisma

Interval information

Ratio	161414428/158203125
Factorization	22 × 3-4 × 5-9 × 79
Monzo	[2 -4 -9 9⟩
Size in cents	34.78973¢
Name	naiadisma
Color name	sz9g97, satritrizogu 7th
FJS name	[math]\displaystyle{ \text{8d7}^{7,7,7,7,7,7,7,7,7}_{5,5,5,5,5,5,5,5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	54.5034
Weil norm (log2 max(n, d))	54.5324
Wilson norm (sopfr(nd))	124
Comma size	medium
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161414428/158203125, the naiadisma is a 7-limit comma measuring 34.8 cents. It is the amount by which nine 7/5s exceeds a stack of four 3/2s and two octaves.

Temperaments

Tempering out this comma alone in the 7-limit leads to the rank-3 naiad temperament. An obvious 13-limit interpretation of one generator is 13/10, four of which make 10/7 above an octave, and nine make 4/3 above three octaves.

Etymology

This comma was named by Xenllium in 2026, after naiad, a kind of ancient Greek water spirit.