13-odd-limit: Difference between revisions

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-This is a list of 13-odd-limit intervals. To [[11-odd-limit]], it adds 5 additional interval pairs involving 13.
+{{Odd-limit navigation|13}}
+{{Odd-limit intro|13}}
-<ul><li>[[14/13|14/13]], [[13/7|13/7]]</li><li>[[13/12|13/12]], [[24/13|24/13]]</li><li>[[12/11|12/11]], [[11/6|11/6]]</li><li>[[11/10|11/10]], [[20/11|20/11]]</li><li>[[10/9|10/9]], [[9/5|9/5]]</li><li>[[9/8|9/8]], [[16/9|16/9]]</li><li>[[8/7|8/7]], [[7/4|7/4]]</li><li>[[7/6|7/6]], [[12/7|12/7]]</li><li>[[13/11|13/11]], [[22/13|22/13]]</li><li>[[6/5|6/5]], [[5/3|5/3]]</li><li>[[11/9|11/9]], [[18/11|18/11]]</li><li>[[16/13|16/13]], [[13/8|13/8]]</li><li>[[5/4|5/4]], [[8/5|8/5]]</li><li>[[14/11|14/11]], [[11/7|11/7]]</li><li>[[9/7|9/7]], [[14/9|14/9]]</li><li>[[13/10|13/10]], [[20/13|20/13]]</li><li>[[4/3|4/3]], [[3/2|3/2]]</li><li>[[11/8|11/8]], [[16/11|16/11]]</li><li>[[18/13|18/13]], [[13/9|13/9]]</li><li>[[7/5|7/5]], [[10/7|10/7]]</li></ul>
+* [[1/1]]
-[[Category:just_interval]]
+* '''[[14/13]], [[13/7]]'''
+* '''[[13/12]], [[24/13]]'''
+* [[12/11]], [[11/6]]
+* [[11/10]], [[20/11]]
+* [[10/9]], [[9/5]]
+* [[9/8]], [[16/9]]
+* [[8/7]], [[7/4]]
+* [[7/6]], [[12/7]]
+* '''[[13/11]], [[22/13]]'''
+* [[6/5]], [[5/3]]
+* [[11/9]], [[18/11]]
+* '''[[16/13]], [[13/8]]'''
+* [[5/4]], [[8/5]]
+* [[14/11]], [[11/7]]
+* [[9/7]], [[14/9]]
+* '''[[13/10]], [[20/13]]'''
+* [[4/3]], [[3/2]]
+* [[11/8]], [[16/11]]
+* '''[[18/13]], [[13/9]]'''
+* [[7/5]], [[10/7]]
+{| class="wikitable center-all right-2 left-5"
+! Ratio
+! Size ([[cents|¢]])
+! colspan="2" | [[Color name]]
+! Name(s)
+|-
+| [[14/13]]
+| 128.298
+| 3uz2
+| thuzo 2nd
+| tridecimal large semitone
+|-
+| [[13/12]]
+| 138.573
+| 3o2
+| tho 2nd
+| tridecimal supraminor second / tridecimal subneutral second
+|-
+| [[13/11]]
+| 289.210
+| 3o1u3
+| tholu 3rd
+| tridecimal minor third
+|-
+| [[16/13]]
+| 359.472
+| 3u3
+| thu 3rd
+| tridecimal supra-neutral third
+|-
+| [[13/10]]
+| 454.214
+| 3og4
+| thogu 4th
+| tridecimal subfourth / tridecimal third-fourth
+|-
+| [[18/13]]
+| 563.382
+| 3u4
+| thu 4th
+| tridecimal superfourth
+|-
+| [[13/9]]
+| 636.618
+| 3o5
+| tho 5th
+| tridecimal subfifth
+|-
+| [[20/13]]
+| 745.786
+| 3uy5
+| thuyo 5th
+| tridecimal superfifth / tridecimal fifth-sixth
+|-
+| [[13/8]]
+| 840.528
+| 3o6
+| tho 6th
+| tridecimal subneutral sixth
+|-
+| [[22/13]]
+| 910.790
+| 3u1o6
+| thulo 6th
+| tridecimal major sixth
+|-
+| [[24/13]]
+| 1061.427
+| 3u7
+| thu 7th
+| tridecimal supra-neutral 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:13-odd-limit| ]] <!-- main article -->