22/15: Difference between revisions

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'''22/15'''
{{Infobox Interval
|1 -1 -1 0 1>
| Icon =
| Ratio = 22/15
| Monzo = 1 -1 -1 0 1
| Cents = 663.04923
| Name = undecimal diminished fifth
| Color name =
| Sound = jid_22_15_pluck_adu_dr220.mp3
}}


663.0492 cents
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]].


[[File:jid_22_15_pluck_adu_dr220.mp3]] [[:File:jid_22_15_pluck_adu_dr220.mp3|sound sample]]
5 steps of [[9edo]] is a good approximation of this interval.


The undecimal diminished fifth of 22/15 is flat of [[3/2|3/2]] by [[45/44|45/44]], and is the interval between [[5/4|5/4]] and [[11/6|11/6]].
== See also ==
[[Category:subfifth]]
 
[[Category:todo:expand]]
* [[Gallery of just intervals]]
* [[15/11]] -- its [[octave complement]]
 
[[Category:11-limit]]
[[Category:Interval ratio]]
[[Category:Fifth]]
[[Category:Subfifth]]
 
[[Category:Todo:expand]]

Revision as of 21:45, 13 June 2020

Interval information
Ratio 22/15
Factorization 2 × 3-1 × 5-1 × 11
Monzo [1 -1 -1 0 1⟩
Size in cents 663.0492¢
Name undecimal diminished fifth
FJS name [math]\displaystyle{ \text{d5}^{11}_{5} }[/math]
Special properties reduced
Tenney height (log2 nd) 8.36632
Weil height (log2 max(n, d)) 8.91886
Wilson height (sopfr(nd)) 21

[sound info]
Open this interval in xen-calc

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.

5 steps of 9edo is a good approximation of this interval.

See also

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