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 [[ | {{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. | ||
Below is a list of all octave-reduced intervals in the 37-odd-limit. | Below is a list of all octave-reduced intervals in the 37-odd-limit. | ||
* [[1/1]] | * [[1/1]] | ||
* [[38/37]], [[37/19]] | * '''[[38/37]], [[37/19]]''' | ||
* [[37/36]], [[72/37]] | * '''[[37/36]], [[72/37]]''' | ||
* [[36/35]], [[35/18]] | * [[36/35]], [[35/18]] | ||
* [[35/34]], [[68/35]] | * [[35/34]], [[68/35]] | ||
| Line 24: | Line 24: | ||
* [[20/19]], [[19/10]] | * [[20/19]], [[19/10]] | ||
* [[19/18]], [[36/19]] | * [[19/18]], [[36/19]] | ||
* [[37/35]], [[70/37]] | * '''[[37/35]], [[70/37]]''' | ||
* [[18/17]], [[17/9]] | * [[18/17]], [[17/9]] | ||
* [[35/33]], [[66/35]] | * [[35/33]], [[66/35]] | ||
| Line 35: | Line 35: | ||
* [[14/13]], [[13/7]] | * [[14/13]], [[13/7]] | ||
* [[27/25]], [[50/27]] | * [[27/25]], [[50/27]] | ||
* [[40/37]], [[37/20]] | * '''[[40/37]], [[37/20]]''' | ||
* [[13/12]], [[24/13]] | * [[13/12]], [[24/13]] | ||
* [[38/35]], [[35/19]] | * [[38/35]], [[35/19]] | ||
* [[25/23]], [[46/25]] | * [[25/23]], [[46/25]] | ||
* [[37/34]], [[68/37]] | * '''[[37/34]], [[68/37]]''' | ||
* [[12/11]], [[11/6]] | * [[12/11]], [[11/6]] | ||
* [[35/32]], [[64/35]] | * [[35/32]], [[64/35]] | ||
| Line 52: | Line 52: | ||
* [[19/17]], [[34/19]] | * [[19/17]], [[34/19]] | ||
* [[28/25]], [[25/14]] | * [[28/25]], [[25/14]] | ||
* [[37/33]], [[66/37]] | * '''[[37/33]], [[66/37]]''' | ||
* [[9/8]], [[16/9]] | * [[9/8]], [[16/9]] | ||
* [[35/31]], [[62/35]] | * [[35/31]], [[62/35]] | ||
* [[26/23]], [[23/13]] | * [[26/23]], [[23/13]] | ||
* [[17/15]], [[30/17]] | * [[17/15]], [[30/17]] | ||
* [[42/37]], [[37/21]] | * '''[[42/37]], [[37/21]]''' | ||
* [[25/22]], [[44/25]] | * [[25/22]], [[44/25]] | ||
* [[33/29]], [[58/33]] | * [[33/29]], [[58/33]] | ||
| Line 65: | Line 65: | ||
* [[38/33]], [[33/19]] | * [[38/33]], [[33/19]] | ||
* [[15/13]], [[26/15]] | * [[15/13]], [[26/15]] | ||
* [[37/32]], [[64/37]] | * '''[[37/32]], [[64/37]]''' | ||
* [[22/19]], [[19/11]] | * [[22/19]], [[19/11]] | ||
* [[29/25]], [[50/29]] | * [[29/25]], [[50/29]] | ||
| Line 77: | Line 77: | ||
* [[32/27]], [[27/16]] | * [[32/27]], [[27/16]] | ||
* [[19/16]], [[32/19]] | * [[19/16]], [[32/19]] | ||
* [[44/37]], [[37/22]] | * '''[[44/37]], [[37/22]]''' | ||
* [[25/21]], [[42/25]] | * [[25/21]], [[42/25]] | ||
* [[31/26]], [[52/31]] | * [[31/26]], [[52/31]] | ||
* [[37/31]], [[62/37]] | * '''[[37/31]], [[62/37]]''' | ||
* [[6/5]], [[5/3]] | * [[6/5]], [[5/3]] | ||
* [[35/29]], [[58/35]] | * [[35/29]], [[58/35]] | ||
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* [[27/22]], [[44/27]] | * [[27/22]], [[44/27]] | ||
* [[16/13]], [[13/8]] | * [[16/13]], [[13/8]] | ||
* [[37/30]], [[60/37]] | * '''[[37/30]], [[60/37]]''' | ||
* [[21/17]], [[34/21]] | * [[21/17]], [[34/21]] | ||
* [[26/21]], [[21/13]] | * [[26/21]], [[21/13]] | ||
* [[31/25]], [[50/31]] | * [[31/25]], [[50/31]] | ||
* [[36/29]], [[29/18]] | * [[36/29]], [[29/18]] | ||
* [[46/37]], [[37/23]] | * '''[[46/37]], [[37/23]]''' | ||
* [[5/4]], [[8/5]] | * [[5/4]], [[8/5]] | ||
* [[44/35]], [[35/22]] | * [[44/35]], [[35/22]] | ||
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* [[33/26]], [[52/33]] | * [[33/26]], [[52/33]] | ||
* [[14/11]], [[11/7]] | * [[14/11]], [[11/7]] | ||
* [[37/29]], [[58/37]] | * '''[[37/29]], [[58/37]]''' | ||
* [[23/18]], [[36/23]] | * [[23/18]], [[36/23]] | ||
* [[32/25]], [[25/16]] | * [[32/25]], [[25/16]] | ||
| Line 114: | Line 114: | ||
* [[22/17]], [[17/11]] | * [[22/17]], [[17/11]] | ||
* [[35/27]], [[54/35]] | * [[35/27]], [[54/35]] | ||
* [[48/37]], [[37/24]] | * '''[[48/37]], [[37/24]]''' | ||
* [[13/10]], [[20/13]] | * [[13/10]], [[20/13]] | ||
* [[30/23]], [[23/15]] | * [[30/23]], [[23/15]] | ||
| Line 124: | Line 124: | ||
* [[29/22]], [[44/29]] | * [[29/22]], [[44/29]] | ||
* [[33/25]], [[50/33]] | * [[33/25]], [[50/33]] | ||
* [[37/28]], [[56/37]] | * '''[[37/28]], [[56/37]]''' | ||
* [[4/3]], [[3/2]] | * [[4/3]], [[3/2]] | ||
* [[35/26]], [[52/35]] | * [[35/26]], [[52/35]] | ||
* [[31/23]], [[46/31]] | * [[31/23]], [[46/31]] | ||
* [[27/20]], [[40/27]] | * [[27/20]], [[40/27]] | ||
* [[50/37]], [[37/25]] | * '''[[50/37]], [[37/25]]''' | ||
* [[23/17]], [[34/23]] | * [[23/17]], [[34/23]] | ||
* [[42/31]], [[31/21]] | * [[42/31]], [[31/21]] | ||
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* [[15/11]], [[22/15]] | * [[15/11]], [[22/15]] | ||
* [[26/19]], [[19/13]] | * [[26/19]], [[19/13]] | ||
* [[37/27]], [[54/37]] | * '''[[37/27]], [[54/37]]''' | ||
* [[48/35]], [[35/24]] | * [[48/35]], [[35/24]] | ||
* [[11/8]], [[16/11]] | * [[11/8]], [[16/11]] | ||
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* [[46/33]], [[33/23]] | * [[46/33]], [[33/23]] | ||
* [[7/5]], [[10/7]] | * [[7/5]], [[10/7]] | ||
* [[52/37]], [[37/26]] | * '''[[52/37]], [[37/26]]''' | ||
* [[38/27]], [[27/19]] | * [[38/27]], [[27/19]] | ||
* [[31/22]], [[44/31]] | * [[31/22]], [[44/31]] | ||