37-odd-limit: Difference between revisions

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-{{Odd-limit navigation}}The 37'''-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'' ≤ 37 and ''k'' is an integer. To the [[35-odd-limit]], it adds 18 pairs of [[octave-reduced]] intervals involving 37.
+{{Odd-limit navigation|37}}
+{{Odd-limit intro|37}}
-Below is a list of all octave-reduced intervals in the 37-odd-limit.
 * [[1/1]]
@@ Line 152: / Line 151: @@
 {| class="wikitable"
-|'''Ratio'''
+! Ratio
-|'''Size ('''[[Cents|¢]]''')'''
+! Size ([[cents|¢]])
-|Color name
+! Color name
-|Name
+! Name
 |-
-|38/37
+| 38/37
-|46.169
+| 46.169
 |
 |
 |-
-|37/36
+| 37/36
-|47.434
+| 47.434
 |
 |
 |-
-|37/35
+| 37/35
-|96.204
+| 96.204
 |
 |
 |-
-|40/37
+| 40/37
-|134.97
+| 134.97
 |
 |
 |-
-|37/34
+| 37/34
-|146.389
+| 146.389
 |
 |
 |-
-|37/33
+| 37/33
-|198.071
+| 198.071
 |
 |
 |-
-|42/37
+| 42/37
-|219.437
+| 219.437
 |
 |
 |-
-|37/32
+| 37/32
-|251.344
+| 251.344
 |
 |
 |-
-|44/37
+| 44/37
-|299.974
+| 299.974
 |
 |
 |-
-|37/31
+| 37/31
-|306.308
+| 306.308
 |
 |
 |-
-|37/30
+| 37/30
-|363.075
+| 363.075
 |
 |
 |-
-|46/37
+| 46/37
-|376.93
+| 376.93
 |
 |
 |-
-|37/29
+| 37/29
-|421.767
+| 421.767
 |
 |
 |-
-|48/37
+| 48/37
-|450.611
+| 450.611
 |
 |
 |-
-|37/28
+| 37/28
-|482.518
+| 482.518
 |
 |
 |-
-|50/37
+| 50/37
-|521.283
+| 521.283
 |
 |
 |-
-|37/27
+| 37/27
-|545.479
+| 545.479
 |
 |
 |-
-|52/37
+| 52/37
-|589.184
+| 589.184
 |
 |
 |-
-|37/26
+| 37/26
-|610.816
+| 610.816
 |
 |
 |-
-|54/37
+| 54/37
-|654.521
+| 654.521
 |
 |
 |-
-|37/25
+| 37/25
-|678.717
+| 678.717
 |
 |
 |-
-|56/37
+| 56/37
-|717.482
+| 717.482
 |
 |
 |}
 The smallest [[equal division of the octave]] which is consistent to the 37-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]].