33698267/33554432: Difference between revisions

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'''33698267/33554432''', or the '''sylvisma'''{{Idio}}, is a small [[19-limit]] comma of about 7.4c that is the difference between the stacking of 3 [[323/256]] major thirds and 1 octave. It is notably tempered out in 12edo and [[33rd-octave temperaments|arsenic temperament]].   
{{Infobox Interval
{{Infobox Interval|
| Name = sylvisma
Name = sylvisma
| Color name = latrinoso 3rd, L19o317o33
| Color name = latrinoso 3rd, L19o317o33}}
}}
'''33698267/33554432''', or the '''sylvisma'''{{idio}}, is a small [[19-limit]] comma of about 7.4 [[cent]]s that is the difference between the stacking of three [[323/256]] major thirds and an [[octave]]. It is notably [[tempering out|tempered out]] in [[12edo]] and [[arsenic]] temperament.   
 
== Etymology ==
== Etymology ==
The name was coined by [[User:Zeta Function]] from the mineral sylvite, which is made of potassium chloride. Chloride is element 17, and potassium is element 19, so the name thus reflects in a roundabout way the prime factors that make up this comma.
The name was coined by {{u|Zeta Function}} from the mineral sylvite, which is made of potassium chloride. Chloride is element 17, and potassium is element 19, so the name thus reflects in a roundabout way the prime factors that make up this comma.

Latest revision as of 09:15, 29 July 2026

Interval information
Ratio 33698267/33554432
Subgroup monzo 2.17.19 [-25 3 3
Size in cents 7.405277¢
Name sylvisma
Color name latrinoso 3rd, L19o317o33
FJS name [math]\displaystyle{ \text{ddd3}^{17,17,17,19,19,19} }[/math]
Special properties reduced,
reduced harmonic
Tenney norm (log2 nd) 50.0062
Weil norm (log2 max(n, d)) 50.0123
Wilson norm (sopfr(nd)) 158
Open this interval in xen-calc

33698267/33554432, or the sylvisma[idiosyncratic term], is a small 19-limit comma of about 7.4 cents that is the difference between the stacking of three 323/256 major thirds and an octave. It is notably tempered out in 12edo and arsenic temperament.

Etymology

The name was coined by Zeta Function from the mineral sylvite, which is made of potassium chloride. Chloride is element 17, and potassium is element 19, so the name thus reflects in a roundabout way the prime factors that make up this comma.