@@ Line 1: / Line 1: @@
-This is a list of 25-[[Odd_limit|odd-limit]] intervals. To [[23-odd-limit]], it adds 10 additional interval pairs involving 25 = 5 * 5.
+{{Odd-limit navigation|25}}
+{{Odd-limit intro|25}}
-*'''[[26/25]]''', '''[[25/13]]'''
+* [[1/1]]
-*'''[[25/24]]''', '''[[48/25]]'''
+* '''[[26/25]], [[25/13]]'''
-*[[24/23]], 23/12
+* '''[[25/24]], [[48/25]]'''
-*[[23/22]], 44/23
+* [[24/23]], [[23/12]]
-*[[22/21]], [[21/11]]
+* [[23/22]], [[44/23]]
-*[[21/20]], [[40/21]]
+* [[22/21]], [[21/11]]
-*[[20/19]], [[19/10]]
+* [[21/20]], [[40/21]]
-*[[19/18]], [[36/19]]
+* [[20/19]], [[19/10]]
-*[[18/17]], [[17/9]]
+* [[19/18]], [[36/19]]
-*[[17/16]], [[32/17]]
+* [[18/17]], [[17/9]]
-*[[16/15]], [[15/8]]
+* [[17/16]], [[32/17]]
-*[[15/14]], [[28/15]]
+* [[16/15]], [[15/8]]
-*[[14/13]], [[13/7]]
+* [[15/14]], [[28/15]]
-*[[13/12]], [[24/13]]
+* [[14/13]], [[13/7]]
-*'''25/23''', '''46/25'''
+* [[13/12]], [[24/13]]
-*[[12/11]], [[11/6]]
+* '''[[25/23]], [[46/25]]'''
-*23/21, 42/23
+* [[12/11]], [[11/6]]
-*[[11/10]], [[20/11]]
+* [[23/21]], [[42/23]]
-*[[21/19]], [[38/21]]
+* [[11/10]], [[20/11]]
-*[[10/9]], [[9/5]]
+* [[21/19]], [[38/21]]
-*[[19/17]], [[34/19]]
+* [[10/9]], [[9/5]]
-*'''[[28/25]]''', '''[[25/14]]'''
+* [[19/17]], [[34/19]]
-*[[9/8]], [[16/9]]
+* '''[[28/25]], [[25/14]]'''
-*26/23, [[23/13]]
+* [[9/8]], [[16/9]]
-*[[17/15]], [[30/17]]
+* [[26/23]], [[23/13]]
-*'''[[25/22]]''', '''[[44/25]]'''
+* [[17/15]], [[30/17]]
-*[[8/7]], [[7/4]]
+* '''[[25/22]], [[44/25]]'''
-*23/20, 40/23
+* [[8/7]], [[7/4]]
-*[[15/13]], [[26/15]]
+* [[23/20]], [[40/23]]
-*[[22/19]], [[19/11]]
+* [[15/13]], [[26/15]]
-*[[7/6]], [[12/7]]
+* [[22/19]], [[19/11]]
-*[[20/17]], [[17/10]]
+* [[7/6]], [[12/7]]
-*[[13/11]], [[22/13]]
+* [[20/17]], [[17/10]]
-*[[19/16]], [[32/19]]
+* [[13/11]], [[22/13]]
-*'''[[25/21]]''', '''[[42/25]]'''
+* [[19/16]], [[32/19]]
-*[[6/5]], [[5/3]]
+* '''[[25/21]], [[42/25]]'''
-*23/19, 38/23
+* [[6/5]], [[5/3]]
-*[[17/14]], [[28/17]]
+* [[23/19]], [[38/23]]
-*28/23, [[23/14]]
+* [[17/14]], [[28/17]]
-*[[11/9]], [[18/11]]
+* [[28/23]], [[23/14]]
-*[[16/13]], [[13/8]]
+* [[11/9]], [[18/11]]
-*[[21/17]], [[34/21]]
+* [[16/13]], [[13/8]]
-*[[26/21]], [[21/13]]
+* [[21/17]], [[34/21]]
-*[[5/4]], [[8/5]]
+* [[26/21]], [[21/13]]
-*[[24/19]], [[19/12]]
+* [[5/4]], [[8/5]]
-*[[19/15]], [[30/19]]
+* [[24/19]], [[19/12]]
-*[[14/11]], [[11/7]]
+* [[19/15]], [[30/19]]
-*[[23/18]], 36/23
+* [[14/11]], [[11/7]]
-*'''[[32/25]]''', '''[[25/16]]'''
+* [[23/18]], [[36/23]]
-*[[9/7]], [[14/9]]
+* '''[[32/25]], [[25/16]]'''
-*[[22/17]], [[17/11]]
+* [[9/7]], [[14/9]]
-*[[13/10]], [[20/13]]
+* [[22/17]], [[17/11]]
-*30/23, 23/15
+* [[13/10]], [[20/13]]
-*[[17/13]], [[26/17]]
+* [[30/23]], [[23/15]]
-*[[21/16]], [[32/21]]
+* [[17/13]], [[26/17]]
-*'''25/19''', '''38/25'''
+* [[21/16]], [[32/21]]
-*[[4/3]], [[3/2]]
+* '''[[25/19]], [[38/25]]'''
-*23/17, 34/23
+* [[4/3]], [[3/2]]
-*[[19/14]], [[28/19]]
+* [[23/17]], [[34/23]]
-*'''34/25''', '''25/17'''
+* [[19/14]], [[28/19]]
-*[[15/11]], [[22/15]]
+* '''[[34/25]], [[25/17]]'''
-*[[26/19]], [[19/13]]
+* [[15/11]], [[22/15]]
-*[[11/8]], [[16/11]]
+* [[26/19]], [[19/13]]
-*[[18/13]], [[13/9]]
+* [[11/8]], [[16/11]]
-*'''[[25/18]]''', '''[[36/25]]'''
+* [[18/13]], [[13/9]]
-*[[32/23]], [[23/16]]
+* '''[[25/18]], [[36/25]]'''
-*[[7/5]], [[10/7]]
+* [[32/23]], [[23/16]]
-*[[24/17]], [[17/12]]
+* [[7/5]], [[10/7]]
+* [[24/17]], [[17/12]]
-[[Category:Just interval]]
+{| class="wikitable center-all right-2 left-5"
+! Ratio
+! Size ([[cents|¢]])
+! colspan="2" | [[Color name]]
+! Name
+|-
+| [[26/25]]
+| 67.900
+| 3ogg
+| thogugu 2nd
+| greater tridecimal chroma <br>large tridecimal third-tone
+|-
+| [[25/24]]
+| 70.672
+| yy1
+| yoyo unison
+| classic chromatic semitone
+|-
+| [[25/23]]
+| 144.353
+| 23uyy2
+| twethuyoyo 2nd
+| small vicesimotertial neutral second
+|-
+| [[28/25]]
+| 196.198
+| zgg3
+| zogugu 3rd
+| septimal middle major second <br>sepimal middle whole tone
+|-
+| [[25/22]]
+| 221.309
+| 1uyy2
+| luyoyo 2nd
+| undecimal acute major second <br>undecimal acute whole tone
+|-
+| [[25/21]]
+| 301.847
+| ryy2
+| ruyoyo 2nd
+| septimal quasi-tempered minor third
+|-
+| [[32/25]]
+| 427.373
+| gg4
+| gugu 4th
+| classic diminished fourth
+|-
+| [[25/19]]
+| 475.114
+| 19uyy3
+| nuyoyo 3rd
+| undevicesimal augmented third <br>undevicesimal grave fourth
+|-
+| [[34/25]]
+| 532.328
+| 17ogg5
+| sogugu 5th
+| septendecimal acute fourth
+|-
+| [[25/18]]
+| 568.717
+| yy4
+| yoyo 4th
+| classic narrow tritone <br>classic augmented fourth
+|-
+| [[36/25]]
+| 631.283
+| gg5
+| gugu 5th
+| classic high tritone <br>classic diminished fifth
+|-
+| [[25/17]]
+| 667.672
+| 17uyy4
+| suyoyo 4th
+| septendecimal grave fifth
+|-
+| [[38/25]]
+| 724.886
+| 19ogg6
+| nogugu 6th
+| undevicesimal diminished sixth <br>undevicesimal acute fifth
+|-
+| [[25/16]]
+| 772.627
+| yy5
+| yoyo 5th
+| classic augmented fifth
+|-
+| [[42/25]]
+| 898.153
+| zgg7
+| zogugu 7th
+| septimal quasi-tempered major sixth
+|-
+| [[44/25]]
+| 978.691
+| 1ogg7
+| logugu 7th
+| undecimal grave minor seventh
+|-
+| [[25/14]]
+| 1003.802
+| ryy6
+| ruyoyo 6th
+| septimal middle minor seventh
+|-
+| [[46/25]]
+| 1055.647
+| 23ogg7
+| twethogugu 7th
+| large vicesimotertial neutral seventh
+|-
+| [[48/25]]
+| 1129.328
+| gg8
+| gugu octave
+| classic diminished octave
+|-
+| [[25/13]]
+| 1132.100
+| 3uyy7
+| thuyoyo 7th
+| lesser tridecimal diminished octave
+|}
+The smallest [[equal division of the octave]] that comes closest to being [[consistent]] in the 25-odd-limit is [[217edo]] (misses [[23/14]], [[23/21]], [[28/23]], [[42/23]]).
+The one which is truly consistent is [[282edo]] (by virtue of it being consistent through the 29-odd-limit)
+The one which is distinctly consistent in the same is [[388edo]] (by virtue of it being distinctly consistent through the 27-odd-limit).
+[[Category:25-odd-limit| ]] <!-- main article -->

25-odd-limit: Difference between revisions