User:BudjarnLambeth/Possible convention for temperament pages: Difference between revisions
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List both tunings in a dot point list. | List both tunings in a dot point list. | ||
If KE tuning is available, list it first. List pure-octave tunings first and tempered-octave tunings last. | If KE tuning is available, list it first. | ||
List pure-octave tunings first and tempered-octave tunings last. | |||
Do not remove a tuning and add your own - instead, if you want to add more, follow the "3+ tunings" format. | Do not remove a tuning and add your own - instead, if you want to add more, follow the "3+ tunings" format. | ||
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== 3+ tunings == | == 3+ tunings == | ||
List 1 | List 1 or 2 tunings in a plain dot point list. List at least 2 other tunings below these, in a collapsible databox (collapsed by default). | ||
KE and TE should always be included in the plain dot point list when they are available. Both lists should have pure-octave tunings first and tempered-octave tunings last. | |||
Do not remove any other tunings that are already listed, just move them to the databox. | Do not remove any other tunings that are already listed, just move them to the databox. | ||
| Line 78: | Line 80: | ||
Optimal tunings: | Optimal tunings: | ||
* [[KE]]: ~2 = 1200.0, ~3/2 = 696.982 | * [[KE]]: ~2 = 1200.0, ~3/2 = 696.982 | ||
* [[TE]]: ~2 = 1199.582, ~3/2 = 696.761 | |||
{{Databox|Other optimal tunings|defaultstate=collapsed| | {{Databox|Other optimal tunings|defaultstate=collapsed| | ||
| Line 83: | Line 86: | ||
* [[CTE]]: ~2 = 1200.0, ~3/2 = 696.9080 | * [[CTE]]: ~2 = 1200.0, ~3/2 = 696.9080 | ||
* [[POTE]]: ~2 = 1200.0, ~3/2 = 697.003 | * [[POTE]]: ~2 = 1200.0, ~3/2 = 697.003 | ||
}} | }} | ||
Revision as of 00:46, 20 March 2024
(This is a proposal only, it is not yet an actual convention, do not do this yet.)
1 tuning
If only one tuning is listed for a temperament, and you do not yet want to add any additional ones, display it like this.
Do not remove a tuning and add your own - instead, if you want to add one, follow the "2 tunings" format.
Huygens
Dubbed huygens here, this extension is perhaps the most practical, as it maps 17/16 to the minor second (C-Db), and 19/16 to the minor third (C-Eb), suitable for a system generated by a mildly tempered fifth.
Subgroup: 2.3.5.7.11.13.17
Comma list: 66/65, 81/80, 99/98, 105/104, 120/119
Mapping: [⟨1 0 -4 -13 -25 -20 12], ⟨0 1 4 10 18 15 -5]]
Optimal tuning (POTE): ~2 = 1200.0, ~3/2 = 697.003
Badness: 0.019982
Huygens
Dubbed huygens here, this extension is perhaps the most practical, as it maps 17/16 to the minor second (C-Db), and 19/16 to the minor third (C-Eb), suitable for a system generated by a mildly tempered fifth.
Subgroup: 2.3.5.7.11.13.17
Comma list: 66/65, 81/80, 99/98, 105/104, 120/119
Mapping: [⟨1 0 -4 -13 -25 -20 12], ⟨0 1 4 10 18 15 -5]]
Optimal tuning (CTE): ~2 = 1200.0, ~3/2 = 696.9080
Badness: 0.019982
2 tunings
List both tunings in a dot point list.
If KE tuning is available, list it first.
List pure-octave tunings first and tempered-octave tunings last.
Do not remove a tuning and add your own - instead, if you want to add more, follow the "3+ tunings" format.
Huygens
Dubbed huygens here, this extension is perhaps the most practical, as it maps 17/16 to the minor second (C-Db), and 19/16 to the minor third (C-Eb), suitable for a system generated by a mildly tempered fifth.
Subgroup: 2.3.5.7.11.13.17
Comma list: 66/65, 81/80, 99/98, 105/104, 120/119
Mapping: [⟨1 0 -4 -13 -25 -20 12], ⟨0 1 4 10 18 15 -5]]
Optimal tunings:
Badness: 0.019982
3+ tunings
List 1 or 2 tunings in a plain dot point list. List at least 2 other tunings below these, in a collapsible databox (collapsed by default).
KE and TE should always be included in the plain dot point list when they are available. Both lists should have pure-octave tunings first and tempered-octave tunings last.
Do not remove any other tunings that are already listed, just move them to the databox.
Huygens
Dubbed huygens here, this extension is perhaps the most practical, as it maps 17/16 to the minor second (C-Db), and 19/16 to the minor third (C-Eb), suitable for a system generated by a mildly tempered fifth.
Subgroup: 2.3.5.7.11.13.17
Comma list: 66/65, 81/80, 99/98, 105/104, 120/119
Mapping: [⟨1 0 -4 -13 -25 -20 12], ⟨0 1 4 10 18 15 -5]]
Optimal tunings:
Badness: 0.019982
Huygens
Dubbed huygens here, this extension is perhaps the most practical, as it maps 17/16 to the minor second (C-Db), and 19/16 to the minor third (C-Eb), suitable for a system generated by a mildly tempered fifth.
Subgroup: 2.3.5.7.11.13.17
Comma list: 66/65, 81/80, 99/98, 105/104, 120/119
Mapping: [⟨1 0 -4 -13 -25 -20 12], ⟨0 1 4 10 18 15 -5]]
Optimal tunings:
Badness: 0.019982