22/15: Difference between revisions

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| Monzo = 1 -1 -1 0 1
| Monzo = 1 -1 -1 0 1
| Cents = 663.04923
| Cents = 663.04923
| Name = undecimal diminished fifth
| Name = undecimal diminished fifth, <br> undecimal narrow grave fifth
| Color name =  
| Color name =  
| FJS name = d5<sup>11</sup><sub>5</sub>
| FJS name = d5<sup>11</sup><sub>5</sub>
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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]], and, in reference to both of these aspects, it can also be called the '''undecimal narrow grave fifth'''


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

Revision as of 16:07, 20 May 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 narrow grave 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, and, in reference to both of these aspects, it can also be called the undecimal narrow grave fifth

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

See also