User:BudjarnLambeth/Possible convention for temperament pages

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(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.

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 sequence12f, 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 sequence12f, 31

Badness: 0.019982

2 or 3 tunings

List all tunings in a dot point list.

If KE 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 sequence12f, 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:

  • KE: ~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 sequence12f, 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).

KE and TE should always be included in the plain dot point list when they are available.

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:

  • KE: ~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 sequence12f, 31

Badness: 0.019982