13-odd-limit: Difference between revisions

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-{{odd-limit navigation}}
+{{Odd-limit navigation|13}}
-This is a list of '''13-[[odd-limit]]''' intervals. To [[11-odd-limit]], it adds 6 additional interval pairs involving 13.
+{{Odd-limit intro|13}}
-* [[1/1]], ([[2/1]])
+* [[1/1]]
-* '''[[14/13]]''', '''[[13/7]]'''
+* '''[[14/13]], [[13/7]]'''
-* '''[[13/12]]''', '''[[24/13]]'''
+* '''[[13/12]], [[24/13]]'''
 * [[12/11]], [[11/6]]
 * [[11/10]], [[20/11]]
@@ Line 11: / Line 11: @@
 * [[8/7]], [[7/4]]
 * [[7/6]], [[12/7]]
-* '''[[13/11]]''', '''[[22/13]]'''
+* '''[[13/11]], [[22/13]]'''
 * [[6/5]], [[5/3]]
 * [[11/9]], [[18/11]]
-* '''[[16/13]]''', '''[[13/8]]'''
+* '''[[16/13]], [[13/8]]'''
 * [[5/4]], [[8/5]]
 * [[14/11]], [[11/7]]
 * [[9/7]], [[14/9]]
-* '''[[13/10]]''', '''[[20/13]]'''
+* '''[[13/10]], [[20/13]]'''
 * [[4/3]], [[3/2]]
 * [[11/8]], [[16/11]]
-* '''[[18/13]]''', '''[[13/9]]'''
+* '''[[18/13]], [[13/9]]'''
 * [[7/5]], [[10/7]]
-{| class="wikitable"
+{| class="wikitable center-all right-2 left-5"
+! Ratio
+! Size ([[cents|¢]])
+! colspan="2" | [[Color name]]
+! Name(s)
 |-
-! | Ratio
+| [[14/13]]
-! | Cents Value
+| 128.298
-! colspan="2" |[[Kite's color notation|Color Name]]
+| 3uz2
-! | Name
+| thuzo 2nd
+| tridecimal large semitone
 |-
-| | [[14/13]]
+| [[13/12]]
-| | 128.298
+| 138.573
-| | 3uz2
+| 3o2
-| | thuzo 2nd
+| tho 2nd
-| | tridecimal large semitone
+| tridecimal supraminor second / tridecimal subneutral second
 |-
-| | [[13/12]]
+| [[13/11]]
-| | 138.573
+| 289.210
-| | 3o2
+| 3o1u3
-| | tho 2nd
+| tholu 3rd
-| | tridecimal supraminor second /<br>tridecimal sub-neutral second
+| tridecimal minor third
 |-
-| | [[13/11]]
+| [[16/13]]
-| | 289.210
+| 359.472
-| | 3o1u3
+| 3u3
-| | tholu 3rd
+| thu 3rd
-| | tridecimal minor third
+| tridecimal supra-neutral third
 |-
-| | [[16/13]]
+| [[13/10]]
-| | 359.472
+| 454.214
-| | 3u3
+| 3og4
-| | thu 3rd
+| thogu 4th
-| | tridecimal supra-neutral third
+| tridecimal subfourth / tridecimal third-fourth
 |-
-| | [[13/10]]
+| [[18/13]]
-| | 454.214
+| 563.382
-| | 3og4
+| 3u4
-| | thogu 4th
+| thu 4th
-| | tridecimal sub-fourth /<br>tridecimal third-fourth
+| tridecimal superfourth
 |-
-| | [[18/13]]
+| [[13/9]]
-| | 563.382
+| 636.618
-| | 3u4
+| 3o5
-| | thu 4th
+| tho 5th
-| | tridecimal super-fourth
+| tridecimal subfifth
 |-
-| | [[13/9]]
+| [[20/13]]
-| | 636.618
+| 745.786
-| | 3o5
+| 3uy5
-| | tho 5th
+| thuyo 5th
-| | tridecimal sub-fifth
+| tridecimal superfifth / tridecimal fifth-sixth
 |-
-| | [[20/13]]
+| [[13/8]]
-| | 745.786
+| 840.528
-| | 3uy5
+| 3o6
-| | thuyo 5th
+| tho 6th
-| | tridecimal super-fifth /<br>tridecimal fifth-sixth
+| tridecimal subneutral sixth
 |-
-| | [[13/8]]
+| [[22/13]]
-| | 840.528
+| 910.790
-| | 3o6
+| 3u1o6
-| | tho 6th
+| thulo 6th
-| | tridecimal sub-neutral sixth
+| tridecimal major sixth
 |-
-| | [[22/13]]
+| [[24/13]]
-| | 910.790
+| 1061.427
-| | 3u1o6
+| 3u7
-| | thulo 6th
+| thu 7th
-| | tridecimal major sixth
+| tridecimal supra-neutral seventh
 |-
-| | [[24/13]]
+| [[13/7]]
-| | 1061.427
+| 1071.702
-| | 3u7
+| 3or7
-| | thu 7th
+| thoru 7th
-| | tridecimal supra-neutral seventh
+| tridecimal submajor seventh
-|-
-| | [[13/7]]
-| | 1071.702
-| | 3or7
-| | thoru 7th
-| | tridecimal submajor seventh
 |}
+The smallest [[equal division of the octave]] which is [[consistent]] in the 13-odd-limit is [[26edo]].
+<span data-darkreader-inline-color="">The smallest one which is distinctly consistent in the same is</span> [[87edo]].
+== See also ==
+* [[13-limit]] ([[prime limit]])
+* [[Diamond13]] – as a scale
-[[Category:Just interval]]
+[[Category:13-odd-limit| ]] <!-- main article -->
-[[Category:Odd limit]]