User:BudjarnLambeth/Possible convention for temperament pages: Difference between revisions
Changed KE to CWE for now because the contents of "Dave Keenan & Douglas Blumeyer's guide to RTT: alternative complexities" contradict what I've heard from Mike, and it looks like there's been confusion about what exactly KE corresponds to for a long time, so for now I'll just stick with CWE to be safe. |
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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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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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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. | ||
| Line 47: | Line 47: | ||
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. | ||
| Line 66: | Line 66: | ||
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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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 105: | Line 105: | ||
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. | ||
Latest revision as of 02:36, 21 March 2024
(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