2048/1875

The smate comma or symbolic comma (monzo: [11 -1 -4⟩, ratio: 2048/1875) is a large 5-limit comma measuring about 153 cents. When tempered out, it equates four just major thirds with the just perfect eleventh. However, it is quite inaccurate to temper this comma out due to its size and relatively low complexity, so it may be treated as an interval in its own right, where it is about a neutral second. It exceeds 12/11 by 5632/5625.

Interval information

Ratio	2048/1875
Factorization	211 × 3-1 × 5-4
Monzo	[11 -1 -4⟩
Size in cents	152.7901¢
Names	smate comma, symbolic comma
Color name	sg43, Saquadgu 3rd
FJS name	[math]\displaystyle{ \text{dd3}_{5,5,5,5} }[/math]
Special properties	reduced, reduced subharmonic
Tenney norm (log2 nd)	21.8727
Weil norm (log2 max(n, d))	22
Wilson norm (sopfr(nd))	45
Comma size	large
Open this interval in xen-calc

Temperaments

Tempering out this comma leads to the smate family.