17/12: Difference between revisions

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| Name = larger septendecimal tritone
| Name = larger septendecimal tritone
| Color name =  
| Color name =  
| FJS name = d5<sup>17</sup>
| Sound = jid_17_12_pluck_adu_dr220.mp3
| Sound = jid_17_12_pluck_adu_dr220.mp3
}}
}}
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17/12 is the [[mediant]] between the two septimal tritones [[7/5]] and [[10/7]].
17/12 is the [[mediant]] between the two septimal tritones [[7/5]] and [[10/7]].


''See also: [[Gallery of just intervals]]''
== See also ==
* [[24/17]] – its [[octave complement]]
* [[18/17]] – its [[fifth complement]]
* [[Gallery of just intervals]]


[[Category:17-limit]]
[[Category:17-limit]]
[[Category:Interval]]
[[Category:Ratio]]
[[Category:Tritone]]
[[Category:Tritone]]
[[Category:Interval]]

Revision as of 12:28, 19 October 2020

Interval information
Ratio 17/12
Subgroup monzo 2.3.17 [-2 -1 1
Size in cents 603.0004¢
Name larger septendecimal tritone
FJS name [math]\displaystyle{ \text{d5}^{17} }[/math]
Special properties reduced
Tenney height (log2 nd) 7.67243
Weil height (log2 max(n, d)) 8.17493
Wilson height (sopfr(nd)) 24

[sound info]
Open this interval in xen-calc

In 17-limit just intonation, 17/12 is the "larger septendecimal tritone", measuring very nearly 603¢. Its inversion is the "first septendecimal tritone," 24/17, and the interval that separates them is the small comma 289/288, about 6¢. This difference is usually negligible, and tempering out this comma allows the 600¢ half-octave to function as both septendecimal tritones. Thus, every even-numbered EDO system contains a close approximation to these intervals.

17/12 is the mediant between the two septimal tritones 7/5 and 10/7.

See also