User:BudjarnLambeth/Possible convention for temperament pages

(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

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 tunings

List both tunings in a dot point list. If KE or TE tuning is available, list it first.

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:

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

Optimal ET sequence: 12f, 31

Badness: 0.019982

3+ tunings

List KE and TE in a dot point list. List as many other tunings as desired in a collapsible databox (collapsed by default).

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
• TE: ~2 = 1199.582, ~3/2 = 696.761

(Additional 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