2187/1250: Difference between revisions

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{{Infobox Interval|2187/1250
{{Infobox Interval
| Ratio = 2187/1250
| Name = tetraptolemaic diminished seventh, ragismic 5-limit harmonic seventh
| Name = tetraptolemaic diminished seventh, ragismic 5-limit harmonic seventh
| Color name = g<sup>4</sup>7, quadgu 7th
| Color name = g<sup>4</sup>7, quadgu 7th
}}
}}
'''2187/1250''', the '''tetraptolemaic diminished seventh''' or '''ragismic 5-limit harmonic seventh''', is a [[5-limit]] interval very closely approximating [[7/4]]. It can be created by stacking two [[27/25]] and [[3/2]]. It is a [[4375/4374|ragisma]] below 7/4, a [[15625/15552|kleisma]] below the marvel 5-limit harmonic seventh [[225/128]], and [[250/243]] below [[9/5]]. In the [[ragismic]] temperament, it is equated with 7/4.
'''2187/1250''', the '''tetraptolemaic diminished seventh''' or '''ragismic 5-limit harmonic seventh''', is a [[5-limit]] interval very closely approximating [[7/4]]. It is sharp of the [[32768/19683|Pythagorean diminished seventh]] by four [[81/80|syntonic commas]], hence the name. It can also be created by stacking two [[27/25]] and [[3/2]]. It is a [[4375/4374|ragisma]] below 7/4, a [[15625/15552|kleisma]] below the marvel 5-limit harmonic seventh [[225/128]], and [[250/243]] below [[9/5]]. In the [[ragismic]] temperament, it is equated with 7/4.


== Approximation ==
== Approximation ==
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== See also ==
== See also ==
* [[2500/2187]] its [[octave complement]]
* [[2500/2187]] its [[octave complement]]


[[Category:Ragismic]]
[[Category:Seventh]]
[[Category:Diminished seventh]]