2048/1875

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 height (log2 nd)	21.8727
Weil height (log2 max(n, d))	22
Wilson height (sopfr(nd))	45
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.24066 bits
Comma size	large
Open this interval in xen-calc

The smate comma or symbolic comma (monzo: [11 -1 -4⟩, ratio: 2048/1875) is a large 5-limit comma measuring about 153 cents. It equates four just major thirds with the just perfect eleventh.

Temperaments

Tempering out this comma leads to the smate family.