User:Ganaram inukshuk/Sandbox
This is a sandbox page for me (Ganaram) to test out a few things before deploying things. (Expect some mess.)
Test area
Expanding the mos intro
Two pieces of additional information that may be worth adding are:
- That the mos has a specific step pattern that is shown using the brightest mode, and that rotations are permitted. (The template will have a link to the page for rotations.)
- For mosses with more than 10 notes, that the mos descends from another, TAMNAMS-named mos and how it relates back to that ancestor mos. This requires standardizing the naming scheme for descendant mosses before it can be added.
The following sections show how these additions may be worded.
Including step patterns
xL ys, also called mosname or alt-mosname, is a moment-of-symmetry scale consisting of x large step(s) and y small step(s), repeating every octave. This scale has a step pattern of step-pattern, or some rotation thereof, and is made using a generator ranging from g1¢ to g2¢, or from d1¢ to d2¢.
nxL nys, also called mosname or alt-mosname, is a moment-of-symmetry scale consisting of nx large step(s) and ny small step(s), with a period of x large step(s) and y small step(s) that repeats n times every octave, or every p¢. This scale has a step pattern of step-pattern for every period, or some rotation thereof, and is made using a generator ranging from g1¢ to g2¢, or from d1¢ to d2¢.
xL ys<p/q>, also called mosname or alt-mosname, is a non-octave moment-of-symmetry scale consisting of x large step(s) and y small step(s), repeating every interval of p/q (e¢). This scale has a step pattern of step-pattern, or some rotation thereof, and is made using a generator ranging from g1¢ to g2¢, or from d1¢ to d2¢.
nxL nys<p/q>, also called mosname or alt-mosname, is a non-octave moment-of-symmetry scale consisting of nx large step(s) and ny small step(s), with a period of x large step(s) and y small step(s) that repeats n times every interval of p/q (e¢), or every (e/n)¢. This scale has a step pattern of step-pattern for every period, or some rotation thereof, and is made using a generator ranging from g1¢ to g2¢, or from d1¢ to d2¢.
Step pattern examples
5L 2s, also called diatonic, is a moment of symmetry scale consisting of 5 large steps and 2 small steps, repeating every octave. This scale has a step pattern of LLLsLLs, or some rotation thereof, and is made using a generator ranging from 685.714¢ to 720¢, or from 480¢ to 514.286¢.
3L 6s, also called tcherepnin, is a moment of symmetry scale consisting of 3 large steps and 6 small steps, with a period of 1 large step and 2 small steps that repeats 3 times every octave, or every 400¢. This scale has a step pattern of Lss, or some rotation thereof for each period, and is made using a generator ranging from 266.667¢ to 400¢, or from 0¢ to 133.333¢.
Including mos descendant names
xL ys, also called mosname or alt-mosname, is a chromatic/enharmonic/subchromatic/nth-descendant scale of the moment-of-symmetry scale zL ws and consists of x large step(s) and y small step(s), repeating every octave. This scale has a step pattern of step-pattern, or some rotation thereof, and is made using a generator ranging from g1¢ to g2¢, or from d1¢ to d2¢.
nxL nys, also called mosname or alt-mosname, is a chromatic/enharmonic/subchromatic/nth-descendant scale of the moment-of-symmetry scale nzL nws and consists of nx large step(s) and ny small step(s), with a period of x large step(s) and y small step(s) that repeats n times every octave, or every p¢. This scale has a step pattern of step-pattern, or some rotation thereof for each period, and is made using a generator ranging from g1¢ to g2¢, or from d1¢ to d2¢.
xL ys<p/q>, also called mosname or alt-mosname, is a chromatic/enharmonic/subchromatic/nth-descendant scale of the non-octave moment-of-symmetry scale zL ws and consists of x large step(s) and y small step(s), repeating every interval of p/q (e¢). This scale has a step pattern of step-pattern, or some rotation thereof, and is made using a generator ranging from g1¢ to g2¢, or from d1¢ to d2¢.
nxL nys<p/q>, also called mosname or alt-mosname, is a chromatic/enharmonic/subchromatic/nth-descendant scale of the non-octave moment-of-symmetry scale nzL nws and consists of nx large step(s) and ny small step(s), with a period of x large step(s) and y small step(s) that repeats n times every interval of p/q (e¢), or every (e/n)¢. This scale has a step pattern of step-pattern, or some rotation thereof for each period, and is made using a generator ranging from g1¢ to g2¢, or from d1¢ to d2¢.
Mos descendant examples
5L 7s, also called (hard) diachromatic or p-chromatic, is a chromatic scale of the moment of symmetry scale 5L 2s and consists of 5 large steps and 7 small steps, repeating every octave. This scale has a step pattern of LssLsLsLssLs, or some rotation thereof, and is made using a generator ranging from 700¢ to 720¢, or from 480¢ to 500¢.
Mos degrees template with new code
Template to call module without affecting the current template (fill in arguments as needed):
{{#invoke:MOS_degrees_v2|mos_degrees_frame
|Scale Signature=
|Step Ratio=
|MOS Prefix=
|Show Abbreviations=
|JI Ratios=
|Notation=
|UDP=
}}Instances of module for testing:
Script error: No such module "MOS_degrees_v2".
Script error: No such module "MOS_degrees_v2".
Script error: No such module "MOS_degrees_v2".
Mos degrees template (version 2) mockup
| Scale degree | Abbrev. | On J | 11edo (Basic, L:s = 2:1) | 15edo (Hard, L:s = 3:1) | 18edo (Soft, L:s = 3:2) | Approx. JI Ratios | |||
|---|---|---|---|---|---|---|---|---|---|
| Steps | Cents | Steps | Cents | Steps | Cents | ||||
| Perfect 0-smistep | P0md | J | 0 | 0 | 0 | 0 | 0 | 0 | 1/1 (exact), 1/1 |
| Augmented 0-smistep | A0md | J& | 1 | 109.1 | 2 | 160 | 1 | 66.7 | |
| Diminished 1-smistep | d1md | K@@ | 0 | 0 | -1 | -80 | 1 | 66.7 | |
| Minor 1-smistep | m1md | K@ | 1 | 109.1 | 1 | 80 | 2 | 133.3 | |
| Major 1-smistep | M1md | K | 2 | 218.2 | 3 | 240 | 3 | 200 | |
| Augmented 1-smistep | A1md | K& | 3 | 327.3 | 5 | 400 | 4 | 266.7 | |
| Diminished 2-smistep | d2md | L@ | 2 | 218.2 | 2 | 160 | 4 | 266.7 | |
| Perfect 2-smistep | P2md | L | 3 | 327.3 | 4 | 320 | 5 | 333.3 | |
| Augmented 2-smistep | A2md | L& | 4 | 436.4 | 6 | 480 | 6 | 400 | |
| 2× Augmented 2-smistep | AA2md | L&& | 5 | 545.5 | 8 | 640 | 7 | 466.7 | |
| Diminished 3-smistep | d3md | M@@ | 3 | 327.3 | 3 | 240 | 6 | 400 | |
| Minor 3-smistep | m3md | M@ | 4 | 436.4 | 5 | 400 | 7 | 466.7 | |
| Major 3-smistep | M3md | M | 5 | 545.5 | 7 | 560 | 8 | 533.3 | |
| Augmented 3-smistep | A3md | M& | 6 | 654.5 | 9 | 720 | 9 | 600 | |
| Diminished 4-smistep | d4md | N@ | 5 | 545.5 | 6 | 480 | 9 | 600 | |
| Minor 4-smistep | m4md | N | 6 | 654.5 | 8 | 640 | 10 | 666.7 | |
| Major 4-smistep | M4md | N& | 7 | 763.6 | 10 | 800 | 11 | 733.3 | |
| Augmented 4-smistep | A4md | N&& | 8 | 872.7 | 12 | 960 | 12 | 800 | |
| 2× Diminished 5-smistep | dd5md | O@@ | 6 | 654.5 | 7 | 560 | 11 | 733.3 | |
| Diminished 5-smistep | d5md | O@ | 7 | 763.6 | 9 | 720 | 12 | 800 | |
| Perfect 5-smistep | P5md | O | 8 | 872.7 | 11 | 880 | 13 | 866.7 | |
| Augmented 5-smistep | A5md | O& | 9 | 981.8 | 13 | 1040 | 14 | 933.3 | |
| Diminished 6-smistep | d6md | P@ | 8 | 872.7 | 10 | 800 | 14 | 933.3 | |
| Minor 6-smistep | m6md | P | 9 | 981.8 | 12 | 960 | 15 | 1000 | |
| Major 6-smistep | M6md | P& | 10 | 1090.9 | 14 | 1120 | 16 | 1066.7 | |
| Augmented 6-smistep | A6md | P&& | 11 | 1200 | 16 | 1280 | 17 | 1133.3 | |
| Diminished 7-smistep | d7md | J@ | 10 | 1090.9 | 13 | 1040 | 17 | 1133.3 | |
| Perfect 7-smistep | P7md | J | 11 | 1200 | 15 | 1200 | 18 | 1200 | 2/1 (exact) |
Step sizes template
|
User:MOS degrees is deprecated. Please use Template:MOS tunings instead. |
| Scale degree | 11edo (Basic, L:s = 2:1) | Approx. JI Ratios | |
|---|---|---|---|
| Steps | Cents | ||
| Perfect 0-smidegree (unison) | 0 | 0 | 1/1 (exact) |
| Minor 1-smidegree | 1 | 109.1 | |
| Major 1-smidegree | 2 | 218.2 | |
| Perfect 2-smidegree | 3 | 327.3 | |
| Augmented 2-smidegree | 4 | 436.4 | |
| Minor 3-smidegree | 4 | 436.4 | |
| Major 3-smidegree | 5 | 545.5 | |
| Minor 4-smidegree | 6 | 654.5 | |
| Major 4-smidegree | 7 | 763.6 | |
| Diminished 5-smidegree | 7 | 763.6 | |
| Perfect 5-smidegree | 8 | 872.7 | |
| Minor 6-smidegree | 9 | 981.8 | |
| Major 6-smidegree | 10 | 1090.9 | |
| Perfect 7-smidegree (octave) | 11 | 1200 | 2/1 (exact) |
| Interval | Basic 3L 4s
(10edo, L:s = 2:1) |
Hard 3L 4s
(13edo, L:s = 3:1) |
Soft 3L 4s
(17edo, L:s = 3:2) |
Approx. JI ratios | |||
|---|---|---|---|---|---|---|---|
| Steps | Cents | Steps | Cents | Steps | Cents | ||
| Large step | 2 | 240¢ | 3 | 276.9¢ | 3 | 211.8¢ | Hide column if no ratios given |
| Small step | 1 | 120¢ | 1 | 92.3¢ | 2 | 141.2¢ | |
| Bright generator | 3 | 360¢ | 4 | 369.2¢ | 5 | 355.6¢ | |
Notes:
- Allow option to show the bright generator, dark generator, or no generator.
- JI ratios column only shows if there are any ratios to show
Mbox template test
These would be their own templates.
Stub page:
| This page is a stub. You can help the Xenharmonic Wiki by expanding it. |
Page needs cleanup (with example reason):
| This article may require cleanup.
Reason: page contains advanced concepts. You can edit this page to improve it. |
Page under construction:
| This article is being created or in the process of being rewritten, and is not yet ready for use. You are welcome to help with editing this page. |
Math symbols test
Isolated symbols
[math]\displaystyle{ T := [ t_1, t_2, ..., t_m ] }[/math] [math]\displaystyle{ S := [ s_1, s_2, ..., s_m ] }[/math] [math]\displaystyle{ P := [ p_1, p_2, ..., p_n ] }[/math]
Sample text
Pulled from muddle page.
Let the target scale T be a sequence of steps [ t1, t2, t3, ... , tm ], the parent scale P be a sequence of steps [ p1, p2, p3, ... , pn ], and the resulting muddle scale S be a sequence of steps [ s1, s2, s3, ... , sm ]. Note that the number of steps in P must be equal to the sum of all ti from T. Also note that both ti and pi are both numeric values, as with si.
The first step s1 of the muddle scale is the sum of the first t1 steps from P, the next step s2 is the sum of the next t2 steps after that (after the previous t1 steps), the next step s3 is the sum of the next t3 steps after that (after the previous t1+t2 steps), and so on, where the last step sm is the sum of the last tm steps from P. For example, if s1 is made from the first 3 steps of P (p1, p2, and p3), then the next step p2 is the sum of the next t2 steps after p3, meaning the sum starts at (and includes) p4.
Interval and degree tables
The following two tables were made using a custom program (dubbed Moscalc and Modecalc) whose output is formatted for use with MediaWiki.
| Mode | UDP | Rotational order | mosunison | 1-mosstep | 2-mosstep | 3-mosstep | 4-mosstep | 5-mosstep | 6-mosstep | mosoctave |
|---|---|---|---|---|---|---|---|---|---|---|
| LssLsss | 6|0 | 0 | 0 | L | L+s | L+2s | 2L+2s | 2L+3s | 2L+4s | 2L+5s |
| LsssLss | 5|1 | 3 | 0 | L | L+s | L+2s | L+3s | 2L+3s | 2L+4s | 2L+5s |
| sLssLss | 4|2 | 6 | 0 | s | L+s | L+2s | L+3s | 2L+3s | 2L+4s | 2L+5s |
| sLsssLs | 3|3 | 2 | 0 | s | L+s | L+2s | L+3s | L+4s | 2L+4s | 2L+5s |
| ssLssLs | 2|4 | 5 | 0 | s | 2s | L+2s | L+3s | L+4s | 2L+4s | 2L+5s |
| ssLsssL | 1|5 | 1 | 0 | s | 2s | L+2s | L+3s | L+4s | L+5s | 2L+5s |
| sssLssL | 0|6 | 4 | 0 | s | 2s | 3s | L+3s | L+4s | L+5s | 2L+5s |
| Mode | UDP | Rotational order | 0-mosdegree | 1-mosdegree | 2-mosdegree | 3-mosdegree | 4-mosdegree | 5-mosdegree | 6-mosdegree | 7-mosdegree |
|---|---|---|---|---|---|---|---|---|---|---|
| LssLsss | 6|0 | 0 | perfect | major | major | perfect | augmented | major | major | perfect |
| LsssLss | 5|1 | 3 | perfect | major | major | perfect | perfect | major | major | perfect |
| sLssLss | 4|2 | 6 | perfect | minor | major | perfect | perfect | major | major | perfect |
| sLsssLs | 3|3 | 2 | perfect | minor | major | perfect | perfect | minor | major | perfect |
| ssLssLs | 2|4 | 5 | perfect | minor | minor | perfect | perfect | minor | major | perfect |
| ssLsssL | 1|5 | 1 | perfect | minor | minor | perfect | perfect | minor | minor | perfect |
| sssLssL | 0|6 | 4 | perfect | minor | minor | diminished | perfect | minor | minor | perfect |
Note: don't merge cells on a table with sorting.
| Mode | Mode name | UDP | Rotational order | mosunison | 1-mosstep | 2-mosstep | 3-mosstep | 4-mosstep | 5-mosstep | 6-mosstep | mosoctave |
|---|---|---|---|---|---|---|---|---|---|---|---|
| LssLsss | antilocrian | 6|0 | 0 | 0 | L | L+s | L+2s | 2L+2s | 2L+3s | 2L+4s | 2L+5s |
| LsssLss | antiphrygian | 5|1 | 3 | 0 | L | L+s | L+2s | L+3s | 2L+3s | 2L+4s | 2L+5s |
| sLssLss | anti-aeolian | 4|2 | 6 | 0 | s | L+s | L+2s | L+3s | 2L+3s | 2L+4s | 2L+5s |
| sLsssLs | antidorian | 3|3 | 2 | 0 | s | L+s | L+2s | L+3s | L+4s | 2L+4s | 2L+5s |
| ssLssLs | antimixolydian | 2|4 | 5 | 0 | s | 2s | L+2s | L+3s | L+4s | 2L+4s | 2L+5s |
| ssLsssL | anti-ionian | 1|5 | 1 | 0 | s | 2s | L+2s | L+3s | L+4s | L+5s | 2L+5s |
| sssLssL | antilydian | 0|6 | 4 | 0 | s | 2s | 3s | L+3s | L+4s | L+5s | 2L+5s |
| Mode | Mode name | UDP | Rotational order | 0-mosdegree | 1-mosdegree | 2-mosdegree | 3-mosdegree | 4-mosdegree | 5-mosdegree | 6-mosdegree | 7-mosdegree |
|---|---|---|---|---|---|---|---|---|---|---|---|
| LssLsss | antilocrian | 6|0 | 0 | perfect | major | major | perfect | augmented | major | major | perfect |
| LsssLss | antiphrygian | 5|1 | 3 | perfect | major | major | perfect | perfect | major | major | perfect |
| sLssLss | anti-aeolian | 4|2 | 6 | perfect | minor | major | perfect | perfect | major | major | perfect |
| sLsssLs | antidorian | 3|3 | 2 | perfect | minor | major | perfect | perfect | minor | major | perfect |
| ssLssLs | antimixolydian | 2|4 | 5 | perfect | minor | minor | perfect | perfect | minor | major | perfect |
| ssLsssL | anti-ionian | 1|5 | 1 | perfect | minor | minor | perfect | perfect | minor | minor | perfect |
| sssLssL | antilydian | 0|6 | 4 | perfect | minor | minor | diminished | perfect | minor | minor | perfect |
Alternate mos tables
| Pattern | Number of notes | Number of periods | Name | Prefix |
|---|---|---|---|---|
| 1L 1s | 2 | 1 | trivial | triv- |
| 1L 1s | 2 | 1 | monowood | monowd- |
| 1L 2s | 3 | 1 | antrial | atri- |
| 2L 1s | 3 | 1 | trial | tri- |
| 1L 3s | 4 | 1 | antetric | atetra- |
| 2L 2s | 4 | 2 | biwood | biwd- |
| 3L 1s | 4 | 1 | tetric | tetra- |
| 1L 4s | 5 | 1 | pedal | ped- |
| 2L 3s | 5 | 1 | pentic | pent- |
| 3L 2s | 5 | 1 | antipentic | apent- |
| 4L 1s | 5 | 1 | manual | manu- |
| 1L 5s | 6 | 1 | antimachinoid | amech- |
| 2L 4s | 6 | 2 | anticitric | acitro- |
| 3L 3s | 6 | 3 | triwood | triwd- |
| 4L 2s | 6 | 2 | citric | citro- |
| 5L 1s | 6 | 1 | machinoid | mech- |
| 1L 6s | 7 | 1 | onyx | on- |
| 2L 5s | 7 | 1 | antidiatonic | pel- |
| 3L 4s | 7 | 1 | mosh | mosh- |
| 4L 3s | 7 | 1 | smitonic | smi- |
| 5L 2s | 7 | 1 | diatonic | none |
| 6L 1s | 7 | 1 | arch(a)eotonic | arch- |
| 1L 7s | 8 | 1 | antipine | apine- |
| 2L 6s | 8 | 2 | antiekic | anek- |
| 3L 5s | 8 | 1 | checkertonic | check- |
| 4L 4s | 8 | 4 | tetrawood; diminished | tetwd- |
| 5L 3s | 8 | 1 | oneirotonic | neiro- |
| 6L 2s | 8 | 2 | ekic | ek- |
| 7L 1s | 8 | 1 | pine | pine- |
| 1L 8s | 9 | 1 | antisubneutralic | ablu- |
| 2L 7s | 9 | 1 | balzano | bal- /bæl/ |
| 3L 6s | 9 | 3 | tcherepnin | cher- |
| 4L 5s | 9 | 1 | gramitonic | gram- |
| 5L 4s | 9 | 1 | semiquartal | cthon- |
| 6L 3s | 9 | 3 | hyrulic | hyru- |
| 7L 2s | 9 | 1 | superdiatonic | arm- |
| 8L 1s | 9 | 1 | subneutralic | blu- |
| 1L 9s | 10 | 1 | antisinatonic | asina- |
| 2L 8s | 10 | 2 | jaric | jara- |
| 3L 7s | 10 | 1 | sephiroid | seph- |
| 4L 6s | 10 | 2 | lime | lime- |
| 5L 5s | 10 | 5 | pentawood | penwd- |
| 6L 4s | 10 | 2 | lemon | lem- |
| 7L 3s | 10 | 1 | dicoid /'daɪkɔɪd/ | dico- |
| 8L 2s | 10 | 2 | taric | tara- |
| 9L 1s | 10 | 1 | sinatonic | sina- |
Scale trees of 1L 1s, 1L 2s, and 2L 1s (sandbox)
| Generator | Bright gen. | Dark gen. | L | s | L/s | Ranges of mosses | |||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| 1\2 | 600.000 | 600.000 | 1 | 1 | 1.000 | ||||||
| 6\11 | 654.545 | 545.455 | 6 | 5 | 1.200 | 2L 5s range (includes 2L 7s and 7L 2s) | |||||
| 5\9 | 666.667 | 533.333 | 5 | 4 | 1.250 | ||||||
| 9\16 | 675.000 | 525.000 | 9 | 7 | 1.286 | ||||||
| 4\7 | 685.714 | 514.286 | 4 | 3 | 1.333 | Basic 2L 3s | |||||
| 11\19 | 694.737 | 505.263 | 11 | 8 | 1.375 | 5L 2s range (includes 7L 5s and 5L 7s) | |||||
| 7\12 | 700.000 | 500.000 | 7 | 5 | 1.400 | ||||||
| 10\17 | 705.882 | 494.118 | 10 | 7 | 1.429 | ||||||
| 3\5 | 720.000 | 480.000 | 3 | 2 | 1.500 | Basic 2L 1s | |||||
| 11\18 | 733.333 | 466.667 | 11 | 7 | 1.571 | 5L 3s range | |||||
| 8\13 | 738.462 | 461.538 | 8 | 5 | 1.600 | ||||||
| 13\21 | 742.857 | 457.143 | 13 | 8 | 1.625 | ||||||
| 5\8 | 750.000 | 450.000 | 5 | 3 | 1.667 | Basic 3L 2s | |||||
| 12\19 | 757.895 | 442.105 | 12 | 7 | 1.714 | 3L 5s range | |||||
| 7\11 | 763.636 | 436.364 | 7 | 4 | 1.750 | ||||||
| 9\14 | 771.429 | 428.571 | 9 | 5 | 1.800 | ||||||
| 2\3 | 800.000 | 400.000 | 2 | 1 | 2.000 | Basic 1L 1s (dividing line between 2L 1s and 1L 2s) | |||||
| 9\13 | 830.769 | 369.231 | 9 | 4 | 2.250 | 3L 4s range (includes 3L 7s and 7L 3s) | |||||
| 7\10 | 840.000 | 360.000 | 7 | 3 | 2.333 | ||||||
| 12\17 | 847.059 | 352.941 | 12 | 5 | 2.400 | ||||||
| 5\7 | 857.143 | 342.857 | 5 | 2 | 2.500 | Basic 3L 1s | |||||
| 13\18 | 866.667 | 333.333 | 13 | 5 | 2.600 | 4L 3s range | |||||
| 8\11 | 872.727 | 327.273 | 8 | 3 | 2.667 | ||||||
| 11\15 | 880.000 | 320.000 | 11 | 4 | 2.750 | ||||||
| 3\4 | 900.000 | 300.000 | 3 | 1 | 3.000 | Basic 1L 2s | |||||
| 10\13 | 923.077 | 276.923 | 10 | 3 | 3.333 | Range of 1L 4s (includes 4L 5s and 5L 4s) | |||||
| 7\9 | 933.333 | 266.667 | 7 | 2 | 3.500 | ||||||
| 11\14 | 942.857 | 257.143 | 11 | 3 | 3.667 | ||||||
| 4\5 | 960.000 | 240.000 | 4 | 1 | 4.000 | Basic 1L 4s | |||||
| 9\11 | 981.818 | 218.182 | 9 | 2 | 4.500 | Range of 4L 1s (includes 5L 1s and 1L 5s) | |||||
| 5\6 | 1000.000 | 200.000 | 5 | 1 | 5.000 | ||||||
| 6\7 | 1028.571 | 171.429 | 6 | 1 | 6.000 | ||||||
| 1\1 | 1200.000 | 0.000 | 1 | 0 | → inf | ||||||
Module and template sandbox
Mos ancestors and descendants
| 2nd ancestor | 1st ancestor | Mos | 1st descendants | 2nd descendants |
|---|---|---|---|---|
| uL vs | zL ws | xL ys | xL (x+y)s | xL (2x+y)s |
| (2x+y)L xs | ||||
| (x+y)L xs | (2x+y)L (x+y)s | |||
| (x+y)L (2x+y)s |