2187/1250: Difference between revisions

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Created page with "{{Infobox Interval|2187/1250 | Name = tetraptolemaic diminished seventh, ragismic 5-limit harmonic seventh }} '''2187/1250''', the '''tetraptolemaic diminished seventh''', is a 5-limit interval very closely approximating 7/4, being only a ragisma (4375/4374) below 7/4. In the ragismic temperament, it is equated with 7/4. It is very accurately approximated by the 46th step of 57edo (46\57), as 46\57 is only 0.009{{cent}} flat of this interval..."
 
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'''2187/1250''', the '''tetraptolemaic diminished seventh''', is a [[5-limit]] interval very closely approximating [[7/4]], being only a [[4375/4374|ragisma]] (4375/4374) below 7/4. In the [[ragismic]] temperament, it is equated with 7/4. It is very accurately approximated by the 46th step of [[57edo]] (46\57), as 46\57 is only 0.009{{cent}} flat of this interval.
'''2187/1250''', the '''tetraptolemaic diminished seventh''', is a [[5-limit]] interval very closely approximating [[7/4]], being only a [[4375/4374|ragisma]] (4375/4374) below 7/4. In the [[ragismic]] temperament, it is equated with 7/4. It is very accurately approximated by the 46th step of [[57edo]] (46\57), as 46\57 is only 0.009{{cent}} flat of this interval.


<!--{{Interval edo approximation|interval=2187/1250}}-->
[[Category:Ragismic]]

Revision as of 22:07, 14 January 2026

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
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

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