User:BudjarnLambeth/Possible convention for temperament pages: Difference between revisions
m Added editable user page templaye |
Made a few suggested changes + some changes of my own |
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(This is a proposal only, it is not yet an actual convention, do not do this yet.) | (This is a proposal only, it is not yet an actual convention, do not do this yet.) | ||
== 1 tuning == | == 1 tuning == | ||
| Line 39: | Line 37: | ||
== 2 tunings == | == 2 tunings == | ||
List both tunings in a dot point list. If KE | 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. | Do not remove a tuning and add your own - instead, if you want to add more, follow the "3+ tunings" format. | ||
| Line 61: | Line 61: | ||
== 3+ tunings == | == 3+ tunings == | ||
List | List 1 to 3 tunings in a dot point list. List at least 2 other tunings below these, in a collapsible databox (collapsed by default). | ||
If one of the tunings is KE, list it first. | |||
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 76: | Line 78: | ||
Optimal tunings: | Optimal tunings: | ||
* [[KE]]: ~2 = 1200.0, ~3/2 = 696.982 | * [[KE]]: ~2 = 1200.0, ~3/2 = 696.982 | ||
{{Databox|(Other optimal tunings)|defaultstate=collapsed| | |||
text= | |||
* [[CTE]]: ~2 = 1200.0, ~3/2 = 696.9080 | |||
* [[POTE]]: ~2 = 1200.0, ~3/2 = 697.003 | |||
* [[TE]]: ~2 = 1199.582, ~3/2 = 696.761 | * [[TE]]: ~2 = 1199.582, ~3/2 = 696.761 | ||
}} | |||
{{Optimal ET sequence|legend=1| 12f, 31 }} | |||
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 | |||
{{Databox| | Comma list: 66/65, 81/80, 99/98, 105/104, 120/119 | ||
Mapping: {{mapping| 1 0 -4 -13 -25 -20 12 | 0 1 4 10 18 15 -5 }} | |||
Optimal tunings: | |||
* [[KE]]: ~2 = 1200.0, ~3/2 = 696.982 | |||
* [[CTE]]: ~2 = 1200.0, ~3/2 = 696.9080 | |||
{{Databox|Other optimal tunings)|defaultstate=collapsed| | |||
text= | text= | ||
* [[POTE]]: ~2 = 1200.0, ~3/2 = 697.003 | * [[POTE]]: ~2 = 1200.0, ~3/2 = 697.003 | ||
* [[TE]]: ~2 = 1199.582, ~3/2 = 696.761 | |||
}} | }} | ||
Revision as of 00:31, 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 to 3 tunings in a dot point list. List at least 2 other tunings below these, in a collapsible databox (collapsed by default).
If one of the tunings is KE, list it first.
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:
- KE: ~2 = 1200.0, ~3/2 = 696.982
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