7-odd-limit: Difference between revisions
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{{Odd-limit navigation|7}} | |||
{{Odd-limit intro|7}} | |||
*[[8/7]], [[7/4]] | * [[1/1]] | ||
*[[7/6]], [[12/7]] | * '''[[8/7]], [[7/4]]''' | ||
*[[6/5]], [[5/3]] | * '''[[7/6]], [[12/7]]''' | ||
*[[5/4]], [[8/5]] | * [[6/5]], [[5/3]] | ||
*[[4/3]], [[3/2]] | * [[5/4]], [[8/5]] | ||
*[[7/5]], [[10/7]] | * [[4/3]], [[3/2]] | ||
* '''[[7/5]], [[10/7]]''' | |||
[[Category: | {| class="wikitable center-all right-2 left-5" | ||
! Ratio | |||
! Size ([[cents|¢]]) | |||
! colspan="2" | [[Color name]] | |||
! Name(s) | |||
|- | |||
| [[8/7]] | |||
| 231.174 | |||
| r2 | |||
| ru 2nd | |||
| septimal supermajor second | |||
|- | |||
| [[7/6]] | |||
| 266.871 | |||
| z3 | |||
| zo 3rd | |||
| septimal minor third | |||
|- | |||
| [[7/5]] | |||
| 582.512 | |||
| zg5 | |||
| zogu 5th | |||
| narrow tritone / Huygens tritone | |||
|- | |||
| [[10/7]] | |||
| 617.488 | |||
| ry4 | |||
| ruyo 4th | |||
| high tritone / Euler's tritone | |||
|- | |||
| [[12/7]] | |||
| 933.129 | |||
| r6 | |||
| ru 6th | |||
| septimal supermajor sixth | |||
|- | |||
| [[7/4]] | |||
| 968.826 | |||
| z7 | |||
| zo 7th | |||
| harmonic seventh | |||
|} | |||
The smallest [[equal division of the octave]] which is [[consistent]] in the 7-odd-limit is [[4edo]]. | |||
The one which is distinctly consistent in the same is [[27edo]]. | |||
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 --> | |||