Xenharmonic Wiki:MOS page style guide
| ↖ 4L 1s | ↑ 5L 1s | 6L 1s ↗ |
| ← 4L 2s | 5L 2s | 6L 2s → |
| ↙ 4L 3s | ↓ 5L 3s | 6L 3s ↘ |
┌╥╥╥┬╥╥┬┐ │║║║│║║││ │││││││││ └┴┴┴┴┴┴┴┘
sLLsLLL
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:
- Infobox MOS, as part of the lead section.
- MOS intro, as part of the lead section.
- MOS intervals, as part of the intervals section; optional, but recommended for small mosses (no more than around 10 notes).
- MOS modes, as part of the modes section; optional, but recommended for small mosses (no more than around 10 notes).
- Scale tree, as part of the scale tree section.
For guidance on fleshed-out pages, this page's sections are recommend section names, and gives suggestions for what to include. Sections should be added as needed. 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 in addition to existing sections or outside of any 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.
Sections that would be otherwise too short, such as temperament-related information, can be added in the lead section instead.
Name(s)
Any names for the mos, as proposed by or given 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 | 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
Modes
Listings of the scale's modes, or rotations of its step patterns, are added here. This can include mode names in use by the general community. Names that have not received use by the broader community use should be treated as idiosyncratic, and the person who had proposed the names should be stated. Example: person-name has proposed/advocated for the following names...
Mode names that apply to specific tunings should have those tunings specified.
{{MOS modes}}
| UDP | Cyclic order |
Step pattern |
Mode names |
|---|---|---|---|
| 6|0 | 1 | LLLsLLs | Lydian |
| 5|1 | 5 | LLsLLLs | Ionian (major) |
| 4|2 | 2 | LLsLLsL | Mixolydian |
| 3|3 | 6 | LsLLLsL | Dorian |
| 2|4 | 3 | LsLLsLL | Aeolian (minor) |
| 1|5 | 7 | sLLLsLL | Phrygian |
| 0|6 | 4 | sLLsLLL | Locrian |
Scale degree qualities (major, minor, etc) can be show using the template shown.
{{MOS mode degrees}}
| UDP | Cyclic order |
Step pattern |
Scale degree (diadegree) | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |||
| 6|0 | 1 | LLLsLLs | Perf. | Maj. | Maj. | Aug. | Perf. | Maj. | Maj. | Perf. |
| 5|1 | 5 | LLsLLLs | Perf. | Maj. | Maj. | Perf. | Perf. | Maj. | Maj. | Perf. |
| 4|2 | 2 | LLsLLsL | Perf. | Maj. | Maj. | Perf. | Perf. | Maj. | Min. | Perf. |
| 3|3 | 6 | LsLLLsL | Perf. | Maj. | Min. | Perf. | Perf. | Maj. | Min. | Perf. |
| 2|4 | 3 | LsLLsLL | Perf. | Maj. | Min. | Perf. | Perf. | Min. | Min. | Perf. |
| 1|5 | 7 | sLLLsLL | Perf. | Min. | Min. | Perf. | Perf. | Min. | Min. | Perf. |
| 0|6 | 4 | sLLsLLL | Perf. | Min. | Min. | Perf. | Dim. | Min. | Min. | Perf. |
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 softer than 2:1
- Hard-of-basic tunings - Step ratios harder than 2:1
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 | 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
The scale tree can be provided using the corresponding template. A handmade table can also be used if the template is found to be too limiting.
{{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.
Other sections not discussed here
- Gallery - added before Music
- Notation - added after Intervals
- Approaches