7-odd-limit: Difference between revisions

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{{odd-limit navigation}}
{{Odd-limit navigation|7}}
This is a list of '''7-[[odd-limit]]''' intervals. To [[5-odd-limit]], it adds 3 interval pairs involving 7. See also [[7-limit]]
[[File:7-odd-limit.png|480px|thumb|right|7-odd-limit intervals within an octave]]
{{Odd-limit intro|7}}


* [[1/1]]
* [[1/1]]
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| z3
| z3
| zo 3rd
| zo 3rd
| septimal minor third
| septimal subminor third
|-
|-
| [[7/5]]
| [[7/5]]
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| zg5
| zg5
| zogu 5th
| zogu 5th
| narrow tritone / Huygens tritone
| narrow tritone / Huygens tritone / septimal diminished fifth
|-
|-
| [[10/7]]
| [[10/7]]
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| ry4
| ry4
| ruyo 4th
| ruyo 4th
| high tritone / Euler's tritone
| high tritone / Euler's tritone / septimal augmented fourth
|-
|-
| [[12/7]]
| [[12/7]]
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| z7
| z7
| zo 7th
| zo 7th
| harmonic seventh
| harmonic seventh / septimal subminor seventh
|}
|}
The smallest [[equal division of the octave]] which is [[consistent]] in the 7-odd-limit is [[4edo]].


[[Category:Just interval]]
The one which is distinctly consistent in the same is [[27edo]]. 
[[Category:Odd limit]]
 
[[Category:7-odd-limit]]
The {{w|natural density|density}} of edos consistent in the 7-odd-limit is 1/2<ref group="note">Provable in a similar method to the one for the [[5-odd-limit]].</ref>.
 
== See also ==
* [[7-limit]] ([[prime limit]])
* [[Diamond7]] – as a scale
 
== Notes ==
<references group="note"/>
 
[[Category:7-odd-limit| ]] <!-- main article -->