40/21: Difference between revisions

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+logical reasons for both d8 and M7 but let's just remove "small septimal diminished octave" since the term is out of nowhere
Line 4: Line 4:
| Monzo = 3 -1 1 -1
| Monzo = 3 -1 1 -1
| Cents = 1115.53281
| Cents = 1115.53281
| Name = small septimal suboctave, <br> acute major seventh
| Name = acute major seventh
| Color name =  
| Color name =  
| FJS name =  
| FJS name = M7<sup>5</sup><sub>7</sub>
| Sound = jid_40_21_pluck_adu_dr220.mp3
| Sound = jid_40_21_pluck_adu_dr220.mp3
}}
}}


'''40/21''', is a [[7-limit]] interval which despite being dubbed the '''small septimal diminished octave''' by some musicians, can also be a type of major seventh for much the same reason that [[21/20]] can be a diatonic semitone of sorts- specifically is it dubbed the '''acute major seventh''' by the Huygens-Fokker Foundation.
'''40/21''', is a [[7-limit]] interval measuring about 1115.5 cents. Despite being approximated by the diminished octave in systems like [[septimal meantone]], it is a major seventh in both [[Helmholtz-Ellis notation]] and [[Functional Just System]] because it is sharp of the [[Pythagorean major seventh (243/128)]] by [[5120/5103]].  


== See also ==
== See also ==
* [[21/20]] – its [[octave complement]]
* [[21/20]] – its [[octave complement]]
* [[Gallery of just intervals]]


[[category:interval]]
[[Category:Interval]]
[[category:7-limit]]
[[Category:7-limit]]
[[Category:todo:expand]]
[[Category:Seventh]]
[[Category:Major seventh]]