2187/1250

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2187/1250, the tetraptolemaic diminished seventh, is a 5-limit interval very closely approximating 7/4. It is a ragisma (4375/4374) below 7/4, and 250/243 below 9/5. In the ragismic temperament, it is equated with 7/4. It is very accurately approximated by the 46th step of 57edo (46\57), which is only 0.009 ¢ flat of this interval.

Interval information
Ratio 2187/1250
Factorization 2-1 × 37 × 5-4
Monzo [-1 7 -4
Size in cents 968.4302¢
Names tetraptolemaic diminished seventh,
ragismic 5-limit harmonic seventh
Color name g47, quadgu 7th
FJS name [math]\displaystyle{ \text{d7}_{5,5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 21.3824
Weil norm (log2 max(n, d)) 22.1895
Wilson norm (sopfr(nd)) 43
Open this interval in xen-calc