Xenharmonic Wiki:MOS page style guide

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Revision as of 02:31, 25 February 2024 by Ganaram inukshuk (talk | contribs)
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↖ 4L 1s ↑ 5L 1s 6L 1s ↗
← 4L 2s 5L 2s 6L 2s →
↙ 4L 3s ↓ 5L 3s 6L 3s ↘
┌╥╥╥┬╥╥┬┐
│║║║│║║││
│││││││││
└┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLsLLs
sLLsLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 4\7 to 3\5 (685.7 ¢ to 720.0 ¢)
Dark 2\5 to 3\7 (480.0 ¢ to 514.3 ¢)
TAMNAMS information
Name diatonic
Prefix dia-
Abbrev. dia
Related MOS scales
Parent 2L 3s
Sister 2L 5s
Daughters 7L 5s, 5L 7s
Neutralized 3L 4s
2-Flought 12L 2s, 5L 9s
Equal tunings
Equalized (L:s = 1:1) 4\7 (685.7 ¢)
Supersoft (L:s = 4:3) 15\26 (692.3 ¢)
Soft (L:s = 3:2) 11\19 (694.7 ¢)
Semisoft (L:s = 5:3) 18\31 (696.8 ¢)
Basic (L:s = 2:1) 7\12 (700.0 ¢)
Semihard (L:s = 5:2) 17\29 (703.4 ¢)
Hard (L:s = 3:1) 10\17 (705.9 ¢)
Superhard (L:s = 4:1) 13\22 (709.1 ¢)
Collapsed (L:s = 1:0) 3\5 (720.0 ¢)

This is a proposed, work-in-progress style guide for mos pages. It's highly recommended to use any templates that are mentioned, as they provide a standardized means of presenting information that is common with virtually all mosses.

The minimum recommended templates for a mos page, given a page that can be treated as a stub, is the following:

For guidance on fleshed-out pages, this page's sections are recommend section names, and gives suggestions for what to include. However, keep in mind that this guide can't account for every possible use case, so be sure to use your best judgment to remove unnecessary sections or to add additional sections deemed necessary. Sections in italics do not denote actual sections, but rather items to add before the first section and after the last section.

Lead section (precedes the first section)

{{Infobox MOS}}
{{MOS intro}}

Apart from other information (such as hatnotes), the lead section should, at the minimum, consist of the mos infobox and the mos intro. To ensure proper order of templates when viewed on mobile devices, the infobox should at least be placed before the intro. The mos intro is as follows:

5L 2s, named diatonic in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 2 small steps, repeating every octave. Generators that produce this scale range from 685.7 ¢ to 720 ¢, or from 480 ¢ to 514.3 ¢.

Other important info can include the following:

  • Whether the mos can be thought of a warping of another, more familiar mos or edo. Examples:
    • 4L 3s can be seen as a warped diatonic scale (5L 2s), where one large step is replaced with a small step.
    • 5L 1s can be seen as the equal-tempered whole-tone scale (6edo) but with one step that is larger than the others.
  • Usage, discovery, and noteworthy temperaments the mos corresponds to.
  • Under what conditions is the mos proper. This is only recommended for mosses with notable near-mos forms, as this information is included in the intro already.

Name(s)

Any names for the mos, as proposed by or named by theorists/composers, and prescribed under TAMNAMS if applicable, are described here.

Intervals (and scale degrees)

The use of TAMNAMS is advised for describing the names of its intervals and scale degrees. The mos intervals template gives ranges for each of the intervals present in the mos.

{{MOS intervals}}
Intervals of 5L 2s
Intervals Steps
subtended
Range in cents
Generic Specific Abbrev.
0-diastep Perfect 0-diastep P0dias 0 0.0 ¢
1-diastep Minor 1-diastep m1dias s 0.0 ¢ to 171.4 ¢
Major 1-diastep M1dias L 171.4 ¢ to 240.0 ¢
2-diastep Minor 2-diastep m2dias L + s 240.0 ¢ to 342.9 ¢
Major 2-diastep M2dias 2L 342.9 ¢ to 480.0 ¢
3-diastep Perfect 3-diastep P3dias 2L + s 480.0 ¢ to 514.3 ¢
Augmented 3-diastep A3dias 3L 514.3 ¢ to 720.0 ¢
4-diastep Diminished 4-diastep d4dias 2L + 2s 480.0 ¢ to 685.7 ¢
Perfect 4-diastep P4dias 3L + s 685.7 ¢ to 720.0 ¢
5-diastep Minor 5-diastep m5dias 3L + 2s 720.0 ¢ to 857.1 ¢
Major 5-diastep M5dias 4L + s 857.1 ¢ to 960.0 ¢
6-diastep Minor 6-diastep m6dias 4L + 2s 960.0 ¢ to 1028.6 ¢
Major 6-diastep M6dias 5L + s 1028.6 ¢ to 1200.0 ¢
7-diastep Perfect 7-diastep P7dias 5L + 2s 1200.0 ¢

Theory

Subsections include:

  • Low harmonic entropy scales
  • Temperament interpretations

Other subsections include:

  • Any theory described by musicians/theorists
  • Tetrachordal analysis or similar

Tuning ranges

Discussions about specific tuning ranges, and what JI ratios are approximated, can be given if there is sufficient information. Hatnotes to appropriate temperament pages are also advised.

Tuning ranges include:

  • Simple tunings - Step ratios 2:1, 3:1, and 3:2.
  • Soft-of-basic tunings - Step ratios 4:3 and 5:3, in comparison to 3:2
  • Hard-of-basic tunings - Step ratios 4:1 and 5:2, in comparison to 3:1.

Sections for smaller ranges can be used instead. Such ranges include:

  • Ultrasoft tunings - Step ratio tunings between 1:1 to 4:3
  • Parasoft tunings - Step ratio tunings between 4:3 to 3:2
  • Hyposoft tunings - Step ratio tunings between 3:2 to 2:1, which can be split even further if needed:
    • Quasisoft tunings - Step ratio tunings between 3:2 to 5:3
    • Minisoft tunings - Step ratio tunings between 5:3 to 2:1
  • Hypohard tunings - Step ratio tunings between 2:1 to 3:1, which can be split even further if needed:
    • Minihard tunings - Step ratio tunings between 2:1 to 5:2
    • Quasihard tunings - Step ratio tunings between 5:2 to 3:1
  • Parahard tunings - Step ratio tunings between 3:1 to 4:1
  • Ultrahard tunings - Step ratio tunings between 4:1 to 1:0

The mos degrees template shows cent values for varying step ratios.

{{MOS degrees|Step Ratio=2/1; 3/1; 3/2}}
Xenharmonic Wiki:MOS degrees is deprecated. Please use Template:MOS tunings instead.
Scale degree of 5L 2s
Scale degree 12edo (Basic, L:s = 2:1) 17edo (Hard, L:s = 3:1) 19edo (Soft, L:s = 3:2) Approx. JI Ratios
Steps Cents Steps Cents Steps Cents
Perfect 0-diadegree (unison) 0 0 0 0 0 0 1/1 (exact)
Minor 1-diadegree 1 100 1 70.6 2 126.3
Major 1-diadegree 2 200 3 211.8 3 189.5
Minor 2-diadegree 3 300 4 282.4 5 315.8
Major 2-diadegree 4 400 6 423.5 6 378.9
Perfect 3-diadegree 5 500 7 494.1 8 505.3
Augmented 3-diadegree 6 600 9 635.3 9 568.4
Diminished 4-diadegree 6 600 8 564.7 10 631.6
Perfect 4-diadegree 7 700 10 705.9 11 694.7
Minor 5-diadegree 8 800 11 776.5 13 821.1
Major 5-diadegree 9 900 13 917.6 14 884.2
Minor 6-diadegree 10 1000 14 988.2 16 1010.5
Major 6-diadegree 11 1100 16 1129.4 17 1073.7
Perfect 7-diadegree (octave) 12 1200 17 1200 19 1200 2/1 (exact)

Scales

Links to scala file pages can be added here, as well as links to pages regarding step variations (typically modmos scales) of the mos.

Scale tree

{{Scale tree}}

Template:Scale tree

Music

Links to music can be added here.

See also

Links to other pages can be added here.

External links

Links to outside-wiki resources regarding the mos and/or its tunings can be added here.

References

If any works are cited, add them here.

Categories (succeeds the last section)

The mos infobox automatically categorizes the mos by note count and under the category of abstract mos patterns. Any other categories can be added here.