User:Ganaram inukshuk/Sandbox
This is a sandbox page for me (Ganaram) to test out a few things before deploying things. (Expect some mess.)
Template test area
MOS mode degrees
| UDP and alterations | Rotational Order | Step pattern | Mode names | Scale degree (mosdegree) | |||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | ||||
| 2|4 M6md | 1 | LsLLsAs | Harmonic minor | Perf. | Maj. | Min. | Perf. | Perf. | Min. | Maj. | Perf. |
| 0|6 M5md | 2 | sLLsAsL | Locrian #6 | Perf. | Min. | Min. | Perf. | Dim. | Maj. | Min. | Perf. |
| 5|1 A4md | 3 | LLsAsLs | Ionian augmented | Perf. | Maj. | Maj. | Perf. | Aug. | Maj. | Maj. | Perf. |
| 3|3 A3md | 4 | LsAsLsL | Dorian #4 | Perf. | Maj. | Min. | Aug. | Perf. | Maj. | Min. | Perf. |
| 1|5 M2md | 5 | sAsLsLL | Phrygian dominant | Perf. | Min. | Maj. | Perf. | Perf. | Min. | Min. | Perf. |
| 6|0 A1md | 6 | AsLsLLs | Lydian #2 | Perf. | Aug. | Maj. | Aug. | Perf. | Maj. | Maj. | Perf. |
| 0|6 d3md d6md | 7 | sLsLLsA | Locrian b4 bb7 | Perf. | Min. | Min. | Dim. | Dim. | Min. | Dim. | Perf. |
| UDP and alterations | Rotational Order | Step pattern | Scale degree (mosdegree) | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |||
| 6|0 A4md | 1 | LLLLsLs | Perf. | Maj. | Maj. | Aug. | Aug. | Maj. | Maj. | Perf. |
| 6|0 m6md | 2 | LLLsLsL | Perf. | Maj. | Maj. | Aug. | Perf. | Maj. | Min. | Perf. |
| 4|2 m5md | 3 | LLsLsLL | Perf. | Maj. | Maj. | Perf. | Perf. | Min. | Min. | Perf. |
| 2|4 d4md | 4 | LsLsLLL | Perf. | Maj. | Min. | Perf. | Dim. | Min. | Min. | Perf. |
| 0|6 d3md | 5 | sLsLLLL | Perf. | Min. | Min. | Dim. | Dim. | Min. | Min. | Perf. |
| 5|1 m2md | 6 | LsLLLLs | Perf. | Maj. | Min. | Perf. | Perf. | Maj. | Maj. | Perf. |
| 3|3 m1md | 7 | sLLLLsL | Perf. | Min. | Min. | Perf. | Perf. | Maj. | Min. | Perf. |
| UDP and alterations | Rotational Order | Step pattern | Scale degree (mosdegree) | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |||
| 6|0 A4md A5md | 1 | LLLLLss | Perf. | Maj. | Maj. | Aug. | Aug. | Aug. | Maj. | Perf. |
| 6|0 A4md m6md | 2 | LLLLssL | Perf. | Maj. | Maj. | Aug. | Aug. | Maj. | Min. | Perf. |
| 6|0 m5md m6md | 3 | LLLssLL | Perf. | Maj. | Maj. | Aug. | Perf. | Min. | Min. | Perf. |
| 4|2 d4md m5md | 4 | LLssLLL | Perf. | Maj. | Maj. | Perf. | Dim. | Min. | Min. | Perf. |
| 2|4 d3md d4md | 5 | LssLLLL | Perf. | Maj. | Min. | Dim. | Dim. | Min. | Min. | Perf. |
| 0|6 d2md d3md | 6 | ssLLLLL | Perf. | Min. | Dim. | Dim. | Dim. | Min. | Min. | Perf. |
| 5|1 m1md m2md | 7 | sLLLLLs | Perf. | Min. | Min. | Perf. | Perf. | Maj. | Maj. | Perf. |
MOS step sizes
| 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
Expanded MOS intro
The following pieces of information may be worth adding:
- The specific step pattern for the true mos. (The template will have a link to the page for rotations.)
- Simple edos (or ed<p/q>) that support the mos.
- 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.
Base wording (for TAMNAMS-named mosses)
xL ys<p/q>, also called mosname, is a(n) equave-equivalent moment-of-symmetry scale, containing x large steps(s) and y small step(s) and repeating every equave. Scales of this form have a step pattern of step-pattern or some rotation thereof, with a generator that ranges from g1¢ to g2¢ or from d1¢ or d2¢. Equal divisions of the equave that support this scale's step pattern include (2nx+ny)ed<p/q> (L = 2 and s = 1), (3nx+ny)ed<p/q> (L = 3 and s = 1), and (3nx+2ny)ed<p/q> (L = 3 and s = 2).
nxL nys<p/q>, also called mosname, is a(n) equave-equivalent moment-of-symmetry scale, containing nx large steps(s) and ny small step(s), with a period of x large step(s) and y small steps(s) that repeats every equave-fraction, or n times every equave. Scales of this form have a step pattern of step-pattern or some rotation thereof, with a generator that ranges from g1¢ to g2¢ or from d1¢ or d2¢. Equal divisions of the equave that support this scale's step pattern include (2x+y)ed<p/q> (L = 2 and s = 1), (3x+y)ed<p/q> (L = 3 and s = 1), and (3x+2y)ed<p/q> (L = 3 and s = 2).
Base wording (for mos descendants)
xL ys<p/q>, also called mosname, is a(n) extension scale of the equave-equivalent moment-of-symmetry scale zL ws<p/q>, expanded to x large steps(s) and y small step(s) and repeating every equave. Scales of this form have a step pattern of step-pattern or some rotation thereof, with a generator that ranges from g1¢ to g2¢ or from d1¢ or d2¢. Equal divisions of the equave that support this scale's step pattern include (2nx+ny)ed<p/q> (L = 2 and s = 1), (3nx+ny)ed<p/q> (L = 3 and s = 1), and (3nx+2ny)ed<p/q> (L = 3 and s = 2).
nxL nys<p/q>, also called mosname, is a(n) extension scale of the equave-equivalent moment-of-symmetry scale nzL nws<p/q>, expanded to nx large steps(s) and ny small step(s), with a period of x large step(s) and y small steps(s) that repeats every equave-fraction, or n times every equave. Scales of this form have a step pattern of step-pattern or some rotation thereof, with a generator that ranges from g1¢ to g2¢ or from d1¢ or d2¢. Equal divisions of the equave that support this scale's step pattern include (2x+y)ed<p/q> (L = 2 and s = 1), (3x+y)ed<p/q> (L = 3 and s = 1), and (3x+2y)ed<p/q> (L = 3 and s = 2).
Examples
5L 7s, also called (hard) diachromatic or p-chromatic, is a chromatic scale of the moment-of-symmetry scale 5L 2s, expanded to 5 large steps and 7 small steps, repeating every octave. This scale has a step pattern of LssLsLsLssLs, or some rotation thereof, with a generator that ranges from 700¢ to 720¢, or from 480¢ to 500¢. Equal divisions of the octave that support this scale's step pattern include 17edo, 22edo, and 29edo.
Mbox template test
These would be their own templates.
Stub page:
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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 |