35-odd-limit: Difference between revisions

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-{{Odd-limit navigation}}The 35'''-odd-limit''' is the set of all [[Rational interval|rational intervals]] which can be written as 2<sup>''k''</sup>(''a''/''b'') where ''a'', ''b'' ≤ 35 and ''k'' is an integer. To the [[33-odd-limit]], it adds 12 pairs of [[octave-reduced]] intervals involving 35.
+{{Odd-limit navigation|35}}
+{{Odd-limit intro|35}}
-Below is a list of all octave-reduced intervals in the 35-odd-limit.
 * [[1/1]]
@@ Line 134: / Line 133: @@
 {| class="wikitable"
-|'''Ratio'''
+! Ratio
-|'''Size ('''[[Cents|¢]]''')'''
+! Size ([[cents|¢]])
-|Color name
+! Color name
-|Name
+! Name
 |-
-|36/35
+| 36/35
-|48.77
+| 48.77
 |
 |
 |-
-|35/34
+| 35/34
-|50.184
+| 50.184
 |
 |
 |-
-|35/33
+| 35/33
-|101.867
+| 101.867
 |
 |
 |-
-|38/35
+| 38/35
-|142.353
+| 142.353
 |
 |
 |-
-|35/32
+| 35/32
-|155.14
+| 155.14
 |
 |
 |-
-|35/31
+| 35/31
-|210.104
+| 210.104
 |
 |
 |-
-|35/29
+| 35/29
-|325.562
+| 325.562
 |
 |
 |-
-|44/35
+| 44/35
-|396.178
+| 396.178
 |
 |
 |-
-|35/27
+| 35/27
-|449.275
+| 449.275
 |
 |
 |-
-|46/35
+| 46/35
-|473.135
+| 473.135
 |
 |
 |-
-|35/26
+| 35/26
-|514.612
+| 514.612
 |
 |
 |-
-|48/35
+| 48/35
-|546.815
+| 546.815
 |
 |
 |-
-|35/24
+| 35/24
-|653.185
+| 653.185
 |
 |
 |-
-|52/35
+| 52/35
-|685.388
+| 685.388
 |
 |
 |-
-|35/23
+| 35/23
-|726.865
+| 726.865
 |
 |
 |-
-|54/35
+| 54/35
-|750.725
+| 750.725
 |
 |
 |-
-|35/22
+| 35/22
-|803.822
+| 803.822
 |
 |
 |-
-|58/35
+| 58/35
-|874.438
+| 874.438
 |
 |
 |-
-|62/35
+| 62/35
-|989.896
+| 989.896
 |
 |
 |-
-|64/35
+| 64/35
-|1044.86
+| 1044.86
 |
 |
 |-
-|35/19
+| 35/19
-|1057.627
+| 1057.627
 |
 |
 |-
-|66/35
+| 66/35
-|1098.133
+| 1098.133
 |
 |
 |-
-|68/35
+| 68/35
-|1149.816
+| 1149.816
 |
 |
 |-
-|35/18
+| 35/18
-|1151.23
+| 1151.23
 |
 |
 |}
-The smallest [[equal division of the octave]] which is consistent to the 35-odd-limit is [[311edo]] (by virtue of it being consistent in the [[41-odd-limit]]); that which is distinctly consistent to the same is [[1600edo]] (by virtue of it being consistent in the [[37-odd-limit|35-odd-limit]]).
+The smallest [[equal division of the octave]] which is consistent to the 35-odd-limit is [[311edo]] (by virtue of it being consistent in the [[41-odd-limit]]); that which is distinctly consistent to the same is [[1600edo]] (by virtue of it being consistent in the [[37-odd-limit]]).