User:BudjarnLambeth/Possible convention for temperament pages: Difference between revisions
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(This is a proposal only, it is not | (This is a proposal only, it is not an actual convention at the moment.) | ||
== 1 tuning == | == 1 tuning == | ||
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Do not remove a tuning and add your own - instead, if you want to add one, follow the "2 tunings" format. | Do not remove a tuning and add your own - instead, if you want to add one, follow the "2 tunings" format. | ||
Examples | === Examples === | ||
=== Huygens === | ==== 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. | 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. | ||
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Comma list: 66/65, 81/80, 99/98, 105/104, 120/119 | Comma list: 66/65, 81/80, 99/98, 105/104, 120/119 | ||
{{Mapping|legend=0| 1 0 -4 -13 -25 -20 12 | 0 1 4 10 18 15 -5 }} | |||
Optimal tuning ([[POTE]]): ~2 = 1200.0, ~3/2 = 697.003 | Optimal tuning ([[POTE]]): ~2 = 1200.0, ~3/2 = 697.003 | ||
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Badness: 0.019982 | Badness: 0.019982 | ||
=== Huygens === | ==== 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. | 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. | ||
| Line 30: | Line 30: | ||
Comma list: 66/65, 81/80, 99/98, 105/104, 120/119 | Comma list: 66/65, 81/80, 99/98, 105/104, 120/119 | ||
{{Mapping|legend=0| 1 0 -4 -13 -25 -20 12 | 0 1 4 10 18 15 -5 }} | |||
Optimal tuning ([[CTE]]): ~2 = 1200.0, ~3/2 = 696.9080 | Optimal tuning ([[CTE]]): ~2 = 1200.0, ~3/2 = 696.9080 | ||
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List all tunings in a dot point list. | List all tunings in a dot point list. | ||
If | If CWE tuning is available, list it first. | ||
List pure-octave tunings first and tempered-octave tunings last. | 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 " | Do not remove a tuning and add your own - instead, if you want to add more, follow the "4+ tunings" format. | ||
Examples | === Examples === | ||
=== Huygens === | ==== 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. | 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. | ||
| Line 56: | Line 56: | ||
Comma list: 66/65, 81/80, 99/98, 105/104, 120/119 | Comma list: 66/65, 81/80, 99/98, 105/104, 120/119 | ||
{{Mapping|legend=0| 1 0 -4 -13 -25 -20 12 | 0 1 4 10 18 15 -5 }} | |||
Optimal tunings: | Optimal tunings: | ||
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Badness: 0.019982 | Badness: 0.019982 | ||
=== Huygens === | ==== 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. | 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. | ||
| Line 73: | Line 73: | ||
Comma list: 66/65, 81/80, 99/98, 105/104, 120/119 | Comma list: 66/65, 81/80, 99/98, 105/104, 120/119 | ||
{{Mapping|legend=0| 1 0 -4 -13 -25 -20 12 | 0 1 4 10 18 15 -5 }} | |||
Optimal tunings: | Optimal tunings: | ||
* [[ | * [[CWE]]: ~2 = 1200.0, ~3/2 = 696.982 | ||
* [[POTE]]: ~2 = 1200.0, ~3/2 = 697.003 | * [[POTE]]: ~2 = 1200.0, ~3/2 = 697.003 | ||
* [[TE]]: ~2 = 1199.582, ~3/2 = 696.761 | * [[TE]]: ~2 = 1199.582, ~3/2 = 696.761 | ||
| Line 87: | Line 87: | ||
List 2 tunings in a plain dot point list. List all other tunings below these, in a collapsible databox (collapsed by default). | List 2 tunings in a plain dot point list. List all other tunings below these, in a collapsible databox (collapsed by default). | ||
CWE and TE should always be included in the plain dot point list if you know them. | |||
Both lists should have pure-octave tunings at the top of the list and tempered-octave tunings at the bottom. | Both lists should have pure-octave tunings at the top of the list and tempered-octave tunings at the bottom. | ||
| Line 93: | Line 93: | ||
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. | ||
Examples | === Examples === | ||
=== Huygens === | ==== 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. | 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. | ||
| Line 102: | Line 102: | ||
Comma list: 66/65, 81/80, 99/98, 105/104, 120/119 | Comma list: 66/65, 81/80, 99/98, 105/104, 120/119 | ||
{{Mapping|legend=0| 1 0 -4 -13 -25 -20 12 | 0 1 4 10 18 15 -5 }} | |||
Optimal tunings: | Optimal tunings: | ||
* [[ | * [[CWE]]: ~2 = 1200.0, ~3/2 = 696.982 | ||
* [[TE]]: ~2 = 1199.582, ~3/2 = 696.761 | * [[TE]]: ~2 = 1199.582, ~3/2 = 696.761 | ||
| Line 114: | Line 114: | ||
}} | }} | ||
=== Huygens === | ==== 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. | 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. | ||
| Line 121: | Line 121: | ||
Comma list: 66/65, 81/80, 99/98, 105/104, 120/119 | Comma list: 66/65, 81/80, 99/98, 105/104, 120/119 | ||
{{Mapping|legend=0| 1 0 -4 -13 -25 -20 12 | 0 1 4 10 18 15 -5 }} | |||
Optimal tunings: | Optimal tunings: | ||
Latest revision as of 12:33, 24 September 2026
(This is a proposal only, it is not an actual convention at the moment.)
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.
Examples
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 or 3 tunings
List all tunings in a dot point list.
If CWE 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 "4+ tunings" format.
Examples
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:
- CWE: ~2 = 1200.0, ~3/2 = 696.982
- POTE: ~2 = 1200.0, ~3/2 = 697.003
- TE: ~2 = 1199.582, ~3/2 = 696.761
Badness: 0.019982
4+ tunings
List 2 tunings in a plain dot point list. List all other tunings below these, in a collapsible databox (collapsed by default).
CWE and TE should always be included in the plain dot point list if you know them.
Both lists should have pure-octave tunings at the top of the list and tempered-octave tunings at the bottom.
Do not remove any other tunings that are already listed, just move them to the databox.
Examples
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:
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