17/10: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Name = diatismic major sixth
| Ratio = 17/10
| Monzo = -1 0 -1 0 0 0 1
| Cents = 918.64170
| Name = septendecimal major sixth
| Sound = jid_17_10_pluck_adu_dr220.mp3
| Sound = jid_17_10_pluck_adu_dr220.mp3
| Color name = 17og7, sogu 7th
| Color name = 17og7, sogu 7th
}}
}}


In [[17-limit]] [[just Intonation]], '''17/10''' is the '''septendecimal major sixth''', measuring about 918.6¢. It is the [[mediant]] between [[5/3]] and [[12/7]]. Its [[octave complement]] is [[20/17]], the "septendecimal minor third".
In [[17-limit]] [[just Intonation]], '''17/10''' is the '''diatismic major sixth''', measuring about 918.6¢. It exceeds the [[27/16|Pythagorean major sixth (27/16)]] by a [[136/135|diatisma (136/135)]], hence the name. It is the [[mediant]] of [[5/3]] and [[12/7]]. Its [[octave complement]] is [[20/17]], the diatismic minor third.


== See also ==
== See also ==
 
* [[20/17]] – its [[octave complement]]
* [[4edo|3\4]] or [[12edo|9\12]] (900 cents)
* [[4edo|3\4]] or [[12edo|9\12]] (900 cents)
* [[13edo|10\13]] (923.08 cents)
* [[13edo|10\13]] (923.08 cents)
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* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:17-limit]]
[[Category:Sixth]]
[[Category:Interval ratio]]
[[Category:Just interval]]
[[Category:Major sixth]]
[[Category:Major sixth]]
[[Category:Sixth]]
[[Category:Diatismic]]
[[Category:Pages with internal sound examples]]

Latest revision as of 18:13, 1 June 2024

Interval information
Ratio 17/10
Factorization 2-1 × 5-1 × 17
Monzo [-1 0 -1 0 0 0 1⟩
Size in cents 918.6417¢
Name diatismic major sixth
Color name 17og7, sogu 7th
FJS name [math]\displaystyle{ \text{d7}^{17}_{5} }[/math]
Special properties reduced
Tenney height (log2 nd) 7.40939
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, 17/10 is the diatismic major sixth, measuring about 918.6¢. It exceeds the Pythagorean major sixth (27/16) by a diatisma (136/135), hence the name. It is the mediant of 5/3 and 12/7. Its octave complement is 20/17, the diatismic minor third.

See also

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