7-odd-limit: Difference between revisions

@@ Line 1: / Line 1: @@
-This is a list of '''7-[[odd-limit]]''' intervals. To [[5-odd-limit]], it adds 3 additional interval pairs involving 7.
+{{Odd-limit navigation|7}}
+{{Odd-limit intro|7}}
+* [[1/1]]
 * '''[[8/7]], [[7/4]]'''
 * '''[[7/6]], [[12/7]]'''
@@ Line 8: / Line 10: @@
 * '''[[7/5]], [[10/7]]'''
-[[Category:Just interval]]
+{| class="wikitable center-all right-2 left-5"
-[[Category:Odd limit]]
+! 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 -->