17/9: Difference between revisions

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| Cents = 1101.0454
| Cents = 1101.0454
| Name = large septendecimal major seventh
| Name = large septendecimal major seventh
| Color name =  
| Color name = 17o8, iso octave
| FJS name = d8<sup>17</sup>
| FJS name = d8<sup>17</sup>
| Sound = jid_17_9_pluck_adu_dr220.mp3
| Sound = jid_17_9_pluck_adu_dr220.mp3
}}
}}


In [[17-limit]] [[Just Intonation]], '''17/9''' is the '''large septendecimal major seventh''', measuring about 1101¢. It is the [[mediant]] between [[15/8]] and [[2/1]]. Its inversion is [[18/17]], the "small septendecimal semitone".  
In [[17-limit]] [[just intonation]], '''17/9''' is the '''large septendecimal major seventh''', measuring about 1101¢. It is the [[mediant]] between [[15/8]] and [[2/1]]. Its inversion is [[18/17]], the "small septendecimal semitone".  


There exists a disagreement in different notation systems on whether 17/9 should be notated as a major seventh or a diminished octave. In [[Functional Just System]], it is a diminished octave, whereas in [[Helmholtz-Ellis notation]], it is a major seventh.  
There exists a disagreement in different notation systems on whether 17/9 should be notated as a major seventh or a diminished octave. In the [[Functional Just System]], it is a diminished octave, whereas in [[Helmholtz-Ellis notation]], it is a major seventh.  


== See also ==
== See also ==
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[[Category:17-limit]]
[[Category:17-limit]]
[[Category:Interval]]
[[Category:Ratio]]
[[Category:Seventh]]
[[Category:Seventh]]
[[Category:Major seventh]]
[[Category:Major seventh]]
[[Category:Pages with internal sound examples]]
[[Category:Pages with internal sound examples]]

Revision as of 21:11, 12 December 2021

Interval information
Ratio 17/9
Subgroup monzo 3.17 [-2 1
Size in cents 1101.045¢
Name large septendecimal major seventh
Color name 17o8, iso octave
FJS name [math]\displaystyle{ \text{d8}^{17} }[/math]
Special properties reduced
Tenney height (log2 nd) 7.25739
Weil height (log2 max(n, d)) 8.17493
Wilson height (sopfr(nd)) 23

[sound info]
Open this interval in xen-calc

In 17-limit just intonation, 17/9 is the large septendecimal major seventh, measuring about 1101¢. It is the mediant between 15/8 and 2/1. Its inversion is 18/17, the "small septendecimal semitone".

There exists a disagreement in different notation systems on whether 17/9 should be notated as a major seventh or a diminished octave. In the Functional Just System, it is a diminished octave, whereas in Helmholtz-Ellis notation, it is a major seventh.

See also