33-odd-limit - Revision history

Eufalesio: Filled out the names

2025-10-25T16:51:41Z

Filled out the names

← Older revision		Revision as of 16:51, 25 October 2025
Line 128:		Line 128:
	\| 34/33		\| 34/33
	\| 51.682		\| 51.682
	\|		\| solu 2nd
	\|		\| 17o1u2
	\|		\| greater septendecimal quartertone
	\|-		\|-
	\| 33/32		\| 33/32
	\| 53.273		\| 53.273
	\|		\| ilo unison
	\|		\| 1o1
	\|		\| undecimal quartertone
	\|-		\|-
	\| 33/31		\| 33/31
	\| 108.237		\| 108.237
	\|		\| thiwulo 2nd
	\|		\| 31u1o2
	\|		\| trigesimoprimal semitone
	\|-		\|-
	\| 33/29		\| 33/29
	\| 223.696		\| 223.696
	\|		\| twenulo 2nd
	\|		\| 29u1o2
	\|		\| vigesimononal whole tone
	\|-		\|-
	\| 38/33		\| 38/33
	\| 244.24		\| 244.24
	\|		\| nolu 3rd
	\|		\| 19o1u3
	\|		\| undevigesimal inframinor third
	\|-		\|-
	\| 33/28		\| 33/28
	\| 284.447		\| 284.447
	\|		\| loru 2nd
	\|		\| 1or2
	\|		\| undecimal ultramajor second
	\|-		\|-
	\| 40/33		\| 40/33
	\| 333.041		\| 333.041
	\|		\| luyo 3rd
	\|		\| 1uy3
	\|		\| undecimal supraminor third
	\|-		\|-
	\| 33/26		\| 33/26
	\| 412.745		\| 412.745
	\|		\| lothu 3rd
	\|		\| 1o3u3
	\|		\| tridecimal major third, major minthmic major third
	\|-		\|-
	\| 33/25		\| 33/25
	\| 480.646		\| 480.646
	\|		\| logugu 4th
	\|		\| 1ogg4
	\|		\| undecimal grave fourth
	\|-		\|-
	\| 46/33		\| 46/33
	\| 575.001		\| 575.001
	\|		\| twetholu 5th
	\|		\| 23o1u5
	\|		\| preziosismic vigesimotertial narrow tritone
	\|-		\|-
	\| 33/23		\| 33/23
	\| 624.999		\| 624.999
	\|		\| twethulo 4th
	\|		\| 23u1o4
	\|		\| preziosismic vigesimotertial wide tritone
	\|-		\|-
	\| 50/33		\| 50/33
	\| 719.354		\| 719.354
	\|		\| luyoyo 5th
	\|		\| 1uyy5
	\|		\| undecimal acute fifth
	\|-		\|-
	\| 52/33		\| 52/33
	\| 787.255		\| 787.255
	\|		\| lutho 6th
	\|		\| 1u3o6
	\|		\| tridecimal minor sixth, major minthmic minor sixth
	\|-		\|-
	\| 33/20		\| 33/20
	\| 866.959		\| 866.959
	\|		\| logu 6th
	\|		\| 1og6
	\|		\| undecimal submajor sixth
	\|-		\|-
	\| 56/33		\| 56/33
	\| 915.553		\| 915.553
	\|		\| luzo 7th
	\|		\| 1uz7
	\|		\| undecimal inframinor seventh
	\|-		\|-
	\| 33/19		\| 33/19
	\| 955.76		\| 955.76
	\|		\| nulo 6th
	\|		\| 19u1o6
	\|		\| undevigesimal ultramajor sixth
	\|-		\|-
	\| 58/33		\| 58/33
	\| 976.304		\| 976.304
	\|		\| twenolu 2nd
	\|		\| 29o1u7
	\|		\| vigesimononal minor seventh
	\|-		\|-
	\| 62/33		\| 62/33
	\| 1091.763		\| 1091.763
	\|		\| thiwolu 7th
	\|		\| 31o1u7
	\|		\| trigesimoprimal major seventh
	\|-		\|-
	\| 64/33		\| 64/33
	\| 1146.727		\| 1146.727
	\|		\| ilu octave
	\|		\| 1u8
	\|		\| undecimal infraoctave
	\|-		\|-
	\| 33/17		\| 33/17
	\| 1148.318		\| 1148.318
	\|		\| sulo 7th
	\|		\| 17u1o7
	\|		\| lesser septendecimal infraoctave
	\|}		\|}
	The smallest [[equal division of the octave]] which is consistent to the 33-odd-limit is [[311edo]] (by virtue of it being consistent through the 41-odd-limit); that which is distinctly consistent to the same is [[1600edo]] (by virtue of it being distinctly consistent through the 37-odd-limit).		The smallest [[equal division of the octave]] which is consistent to the 33-odd-limit is [[311edo]] (by virtue of it being consistent through the 41-odd-limit); that which is distinctly consistent to the same is [[1600edo]] (by virtue of it being distinctly consistent through the 37-odd-limit).

	[[Category:33-odd-limit\| ]] <!-- main article -->		[[Category:33-odd-limit\| ]] <!-- main article -->

FloraC: Oops

2025-09-23T15:33:13Z

Oops

← Older revision		Revision as of 15:33, 23 September 2025
Line 248:		Line 248:
	The smallest [[equal division of the octave]] which is consistent to the 33-odd-limit is [[311edo]] (by virtue of it being consistent through the 41-odd-limit); that which is distinctly consistent to the same is [[1600edo]] (by virtue of it being distinctly consistent through the 37-odd-limit).		The smallest [[equal division of the octave]] which is consistent to the 33-odd-limit is [[311edo]] (by virtue of it being consistent through the 41-odd-limit); that which is distinctly consistent to the same is [[1600edo]] (by virtue of it being distinctly consistent through the 37-odd-limit).

	[[Category:35-odd-limit\| ]] <!-- main article -->		[[Category:33-odd-limit\| ]] <!-- main article -->

FloraC: + category

2025-09-23T15:32:37Z

+ category

← Older revision		Revision as of 15:32, 23 September 2025
Line 122:		Line 122:
	{\| class="wikitable"		{\| class="wikitable"
	! Ratio		! Ratio
	! Size ([[~~Cents~~\|¢]])		! Size ([[cents\|¢]])
	! colspan="2" \|[[Color name]]		! colspan="2" \| [[Color name]]
	! Name		! Name
	\|-		\|-
Line 247:		Line 247:
	\|}		\|}
	The smallest [[equal division of the octave]] which is consistent to the 33-odd-limit is [[311edo]] (by virtue of it being consistent through the 41-odd-limit); that which is distinctly consistent to the same is [[1600edo]] (by virtue of it being distinctly consistent through the 37-odd-limit).		The smallest [[equal division of the octave]] which is consistent to the 33-odd-limit is [[311edo]] (by virtue of it being consistent through the 41-odd-limit); that which is distinctly consistent to the same is [[1600edo]] (by virtue of it being distinctly consistent through the 37-odd-limit).

			[[Category:35-odd-limit\| ]] <!-- main article -->

FloraC at 15:29, 23 September 2025

2025-09-23T15:29:19Z

← Older revision		Revision as of 15:29, 23 September 2025
Line 1:		Line 1:
	{{Odd-limit navigation}}~~The '''33-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'' ≤~~ 33 ~~and ''k'' is an integer. To the [[31-odd-limit]], it adds 10 pairs of [[octave-reduced]] intervals involving 33.~~		{{Odd-limit navigation\|33}}
			{{Odd-limit intro\|33}}
	~~Below is a list of all octave-reduced intervals in the 31-odd-limit.~~

	* [[1/1]]		* [[1/1]]
Line 122:		Line 121:

	{\| class="wikitable"		{\| class="wikitable"
	!Ratio		! Ratio
	!Size ([[Cents\|¢]])		! Size ([[Cents\|¢]])
	! colspan="2" \|[[Color name]]		! colspan="2" \|[[Color name]]
	!Name		! Name
	\|-		\|-
	\|34/33		\| 34/33
	\|51.682		\| 51.682
	\|		\|
	\|		\|
	\|		\|
	\|-		\|-
	\|33/32		\| 33/32
	\|53.273		\| 53.273
	\|		\|
	\|		\|
	\|		\|
	\|-		\|-
	\|33/31		\| 33/31
	\|108.237		\| 108.237
	\|		\|
	\|		\|
	\|		\|
	\|-		\|-
	\|33/29		\| 33/29
	\|223.696		\| 223.696
	\|		\|
	\|		\|
	\|		\|
	\|-		\|-
	\|38/33		\| 38/33
	\|244.24		\| 244.24
	\|		\|
	\|		\|
	\|		\|
	\|-		\|-
	\|33/28		\| 33/28
	\|284.447		\| 284.447
	\|		\|
	\|		\|
	\|		\|
	\|-		\|-
	\|40/33		\| 40/33
	\|333.041		\| 333.041
	\|		\|
	\|		\|
	\|		\|
	\|-		\|-
	\|33/26		\| 33/26
	\|412.745		\| 412.745
	\|		\|
	\|		\|
	\|		\|
	\|-		\|-
	\|33/25		\| 33/25
	\|480.646		\| 480.646
	\|		\|
	\|		\|
	\|		\|
	\|-		\|-
	\|46/33		\| 46/33
	\|575.001		\| 575.001
	\|		\|
	\|		\|
	\|		\|
	\|-		\|-
	\|33/23		\| 33/23
	\|624.999		\| 624.999
	\|		\|
	\|		\|
	\|		\|
	\|-		\|-
	\|50/33		\| 50/33
	\|719.354		\| 719.354
	\|		\|
	\|		\|
	\|		\|
	\|-		\|-
	\|52/33		\| 52/33
	\|787.255		\| 787.255
	\|		\|
	\|		\|
	\|		\|
	\|-		\|-
	\|33/20		\| 33/20
	\|866.959		\| 866.959
	\|		\|
	\|		\|
	\|		\|
	\|-		\|-
	\|56/33		\| 56/33
	\|915.553		\| 915.553
	\|		\|
	\|		\|
	\|		\|
	\|-		\|-
	\|33/19		\| 33/19
	\|955.76		\| 955.76
	\|		\|
	\|		\|
	\|		\|
	\|-		\|-
	\|58/33		\| 58/33
	\|976.304		\| 976.304
	\|		\|
	\|		\|
	\|		\|
	\|-		\|-
	\|62/33		\| 62/33
	\|1091.763		\| 1091.763
	\|		\|
	\|		\|
	\|		\|
	\|-		\|-
	\|64/33		\| 64/33
	\|1146.727		\| 1146.727
	\|		\|
	\|		\|
	\|		\|
	\|-		\|-
	\|33/17		\| 33/17
	\|1148.318		\| 1148.318
	\|		\|
	\|		\|
	\|		\|
	\|}		\|}
	The smallest [[equal division of the octave]] which is consistent to the 31-odd-limit is [[311edo]] (by virtue of it being consistent through the 41-odd-limit); that which is distinctly consistent to the same is [[1600edo]] (by virtue of it being distinctly consistent through the 37-odd-limit).		The smallest [[equal division of the octave]] which is consistent to the 33-odd-limit is [[311edo]] (by virtue of it being consistent through the 41-odd-limit); that which is distinctly consistent to the same is [[1600edo]] (by virtue of it being distinctly consistent through the 37-odd-limit).

Eufalesio: Birth, interval names TBA

2025-09-17T09:37:34Z

Birth, interval names TBA

New page

{{Odd-limit navigation}}The '''33-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'' ≤ 33 and ''k'' is an integer. To the [[31-odd-limit]], it adds 10 pairs of [[octave-reduced]] intervals involving 33.

Below is a list of all octave-reduced intervals in the 31-odd-limit.

* [[1/1]]
* '''[[34/33]], [[33/17]]'''
* '''[[33/32]], [[64/33]]'''
* [[32/31]], [[31/16]]
* [[31/30]], [[60/31]]
* [[30/29]], [[29/15]]
* [[29/28]], [[56/29]]
* [[28/27]], [[27/14]]
* [[27/26]], [[52/27]]
* [[26/25]], [[25/13]]
* [[25/24]], [[48/25]]
* [[24/23]], [[23/12]]
* [[23/22]], [[44/23]]
* [[22/21]], [[21/11]]
* [[21/20]], [[40/21]]
* [[20/19]], [[19/10]]
* [[19/18]], [[36/19]]
* [[18/17]], [[17/9]]
* [[17/16]], [[32/17]]
* '''[[33/31]], [[62/33]]'''
* [[16/15]], [[15/8]]
* [[31/29]], [[58/31]]
* [[15/14]], [[28/15]]
* [[29/27]], [[54/29]]
* [[14/13]], [[13/7]]
* [[27/25]], [[50/27]]
* [[13/12]], [[24/13]]
* [[25/23]], [[46/25]]
* [[12/11]], [[11/6]]
* [[23/21]], [[42/23]]
* [[34/31]], [[31/17]]
* [[11/10]], [[20/11]]
* [[32/29]], [[29/16]]
* [[21/19]], [[38/21]]
* [[31/28]], [[56/31]]
* [[10/9]], [[9/5]]
* [[29/26]], [[52/29]]
* [[19/17]], [[34/19]]
* [[28/25]], [[25/14]]
* [[9/8]], [[16/9]]
* [[26/23]], [[23/13]]
* [[17/15]], [[30/17]]
* [[25/22]], [[44/25]]
* '''[[33/29]], [[58/33]]'''
* [[8/7]], [[7/4]]
* [[31/27]], [[54/31]]
* [[23/20]], [[40/23]]
* '''[[38/33]], [[33/19]]'''
* [[15/13]], [[26/15]]
* [[22/19]], [[19/11]]
* [[29/25]], [[50/29]]
* [[36/31]], [[31/18]]
* [[7/6]], [[12/7]]
* [[34/29]], [[29/17]]
* [[27/23]], [[46/27]]
* [[20/17]], [[17/10]]
* '''[[33/28]], [[56/33]]'''
* [[13/11]], [[22/13]]
* [[32/27]], [[27/16]]
* [[19/16]], [[32/19]]
* [[25/21]], [[42/25]]
* [[31/26]], [[52/31]]
* [[6/5]], [[5/3]]
* [[29/24]], [[48/29]]
* [[23/19]], [[38/23]]
* '''[[40/33]], [[33/20]]'''
* [[17/14]], [[28/17]]
* [[28/23]], [[23/14]]
* [[11/9]], [[18/11]]
* [[38/31]], [[31/19]]
* [[27/22]], [[44/27]]
* [[16/13]], [[13/8]]
* [[21/17]], [[34/21]]
* [[26/21]], [[21/13]]
* [[31/25]], [[50/31]]
* [[36/29]], [[29/18]]
* [[5/4]], [[8/5]]
* [[34/27]], [[27/17]]
* [[29/23]], [[46/29]]
* [[24/19]], [[19/12]]
* [[19/15]], [[30/19]]
* '''[[33/26]], [[52/33]]'''
* [[14/11]], [[11/7]]
* [[23/18]], [[36/23]]
* [[32/25]], [[25/16]]
* [[9/7]], [[14/9]]
* [[40/31]], [[31/20]]
* [[31/24]], [[48/31]]
* [[22/17]], [[17/11]]
* [[13/10]], [[20/13]]
* [[30/23]], [[23/15]]
* [[17/13]], [[26/17]]
* [[38/29]], [[29/19]]
* [[21/16]], [[32/21]]
* [[25/19]], [[38/25]]
* [[29/22]], [[44/29]]
* '''[[33/25]], [[50/33]]'''
* [[4/3]], [[3/2]]
* [[31/23]], [[46/31]]
* [[27/20]], [[40/27]]
* [[23/17]], [[34/23]]
* [[42/31]], [[31/21]]
* [[19/14]], [[28/19]]
* [[34/25]], [[25/17]]
* [[15/11]], [[22/15]]
* [[26/19]], [[19/13]]
* [[11/8]], [[16/11]]
* [[40/29]], [[29/20]]
* [[29/21]], [[42/29]]
* [[18/13]], [[13/9]]
* [[25/18]], [[36/25]]
* [[32/23]], [[23/16]]
* '''[[46/33]], [[33/23]]'''
* [[7/5]], [[10/7]]
* [[38/27]], [[27/19]]
* [[31/22]], [[44/31]]
* [[24/17]], [[17/12]]

{| class="wikitable"
!Ratio
!Size ([[Cents|¢]])
! colspan="2" |[[Color name]]
!Name
|-
|34/33
|51.682
|
|
|
|-
|33/32
|53.273
|
|
|
|-
|33/31
|108.237
|
|
|
|-
|33/29
|223.696
|
|
|
|-
|38/33
|244.24
|
|
|
|-
|33/28
|284.447
|
|
|
|-
|40/33
|333.041
|
|
|
|-
|33/26
|412.745
|
|
|
|-
|33/25
|480.646
|
|
|
|-
|46/33
|575.001
|
|
|
|-
|33/23
|624.999
|
|
|
|-
|50/33
|719.354
|
|
|
|-
|52/33
|787.255
|
|
|
|-
|33/20
|866.959
|
|
|
|-
|56/33
|915.553
|
|
|
|-
|33/19
|955.76
|
|
|
|-
|58/33
|976.304
|
|
|
|-
|62/33
|1091.763
|
|
|
|-
|64/33
|1146.727
|
|
|
|-
|33/17
|1148.318
|
|
|
|}
The smallest [[equal division of the octave]] which is consistent to the 31-odd-limit is [[311edo]] (by virtue of it being consistent through the 41-odd-limit); that which is distinctly consistent to the same is [[1600edo]] (by virtue of it being distinctly consistent through the 37-odd-limit).