22/15: Difference between revisions

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reworked. todo expand
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{{Infobox Interval
{{Infobox Interval
| Icon =
| Name = undecimal diminished fifth, undecimal acute ultra-diminished fifth
| Ratio = 22/15
| Color name = 1og5, logu 5th
| Monzo = 1 -1 -1 0 1
| Cents = 663.04923
| Name = undecimal diminished fifth
| Color name =  
| Sound = jid_22_15_pluck_adu_dr220.mp3
| Sound = jid_22_15_pluck_adu_dr220.mp3
}}
}}


The '''undecimal diminished fifth''' of '''22/15''' is flat of [[3/2]] by [[45/44]], and is the interval between [[5/4]] and [[11/6]].
The '''undecimal diminished fifth''' of '''22/15''' is flat of [[3/2]] by [[45/44]], and is the interval between [[5/4]] and [[11/6]]. It is wider than [[16/11]] by exactly [[121/120]] and narrower than [[40/27]] by exactly [[100/99]].  Additionally, it is wider than [[352/243]] by exactly [[81/80]], which lends to it being called the '''undecimal acute ultra-diminished fifth'''.
 
5 steps of [[9edo]] is a good approximation of this interval.
5 steps of [[9edo]] is a good approximation of this interval.


== See also ==
== See also ==
 
* [[15/11]] – its [[octave complement]]
* [[45/44]] – its [[fifth complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
* [[15/11]] -- its [[octave complement]]


[[Category:11-limit]]
[[Category:Interval ratio]]
[[Category:Fifth]]
[[Category:Fifth]]
[[Category:Subfifth]]
[[Category:Subfifth]]
[[Category:Todo:expand]]