User:BudjarnLambeth/Possible convention for temperament pages

(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

Optimal ET sequence: 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

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

Optimal ET sequence: 12f, 31

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:

• CTE: ~2 = 1200.0, ~3/2 = 696.9080
• POTE: ~2 = 1200.0, ~3/2 = 697.003

Optimal ET sequence: 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

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

Optimal ET sequence: 12f, 31

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:

• CWE: ~2 = 1200.0, ~3/2 = 696.982
• TE: ~2 = 1199.582, ~3/2 = 696.761

Other optimal tunings

• CTE: ~2 = 1200.0, ~3/2 = 696.9080
• POTE: ~2 = 1200.0, ~3/2 = 697.003

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:

• CTE: ~2 = 1200.0, ~3/2 = 696.9080
• TE: ~2 = 1199.582, ~3/2 = 696.761

Other optimal tunings

• POTE: ~2 = 1200.0, ~3/2 = 697.003
• CE: ~2 = 1198.172, ~3/2 = 696.176
• WE: ~2= 1199.555, ~3/2 = 696.745

Optimal ET sequence: 12f, 31

Badness: 0.019982