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. | ||
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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 ([[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. | ||
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Do not remove a tuning and add your own - instead, if you want to add more, follow the "4+ tunings" format. | 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. | ||
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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 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. | ||
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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 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 | ||
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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. | ||
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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. | ||
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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 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 | ||
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}} | }} | ||
=== 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 tunings: | Optimal tunings: | ||