22/15: Difference between revisions

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m Normalising usage of Infobox Interval
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{{Infobox Interval
{{Infobox Interval
| Ratio = 22/15
| Name = undecimal diminished fifth, undecimal acute ultra-diminished fifth
| Monzo = 1 -1 -1 0 1
| Cents = 663.04923
| Name = undecimal diminished fifth, <br> undecimal acute ultra-diminished fifth
| Color name =
| FJS name = d5<sup>11</sup><sub>5</sub>
| Sound = jid_22_15_pluck_adu_dr220.mp3
| Sound = jid_22_15_pluck_adu_dr220.mp3
}}
}}
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* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:11-limit]]
[[Category:Fifth]]
[[Category:Fifth]]
[[Category:Subfifth]]
[[Category:Subfifth]]
{{todo|expand|add color name}}

Revision as of 11:46, 25 October 2022

Interval information
Ratio 22/15
Factorization 2 × 3-1 × 5-1 × 11
Monzo [1 -1 -1 0 1⟩
Size in cents 663.0492¢
Names undecimal diminished fifth,
undecimal acute ultra-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. 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.

See also

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