33698267/33554432: Difference between revisions

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Link 19-limit since it is obscure
Mark idiosyncratic since this was proposed by me. Others can propose different names for this new comma
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'''33698267/33554432''', or the '''sylvisma''', 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]].   
'''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

Revision as of 01:37, 29 July 2026

33698267/33554432, or the sylvisma[idiosyncratic term], 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 arsenic temperament.

Interval information
Ratio 33698267/33554432
Subgroup monzo 2.17.19 [-25 3 3
Size in cents 7.405277¢
Name sylvisma
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

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.