Naiadisma: Difference between revisions

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Created page with "{{Infobox interval | Ratio = 161414428/158203125 | Name = naiadisma | Color name = sz<sup>9</sup>g<sup>9</sup>7, satritrizogu 7th | Comma = yes }} '''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 Miscellaneous 7-limit temperaments #Naiad|na..."
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== Temperaments ==
== Temperaments ==
[[Tempering out]] this comma alone in the 7-limit leads to the rank-3 [[Miscellaneous 7-limit temperaments #Naiad|naiad]] temperament.  
[[Tempering out]] this comma alone in the 7-limit leads to the rank-3 [[Miscellaneous 7-limit temperaments #Naiad|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 ==
== Etymology ==

Latest revision as of 14:26, 31 January 2026

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
Open this interval in xen-calc

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.