User:Ganaram inukshuk/Sandbox: Difference between revisions
Testing out JI ratio entry for new mos degrees column |
Testing out JI ratio entry using ratios formerly on the 4L 3s page |
||
| Line 31: | Line 31: | ||
{{#invoke:MOS_degrees_v2|mos_degrees_frame | {{#invoke:MOS_degrees_v2|mos_degrees_frame | ||
|Scale Signature= | |Scale Signature=4L 3s | ||
|Step Ratio=2/1; 3/1; 3/2 | |Step Ratio=2/1; 3/1; 3/2 | ||
|MOS Prefix={{{MOS Prefix|}}} | |MOS Prefix={{{MOS Prefix|}}} | ||
|Show Abbreviations=1 | |Show Abbreviations=1 | ||
|JI Ratios= | |JI Ratios=P0md: 1/1; | ||
M1md: 8/7; | |||
P2md: 77/64, 6/5; | |||
m3md: 14/11; | |||
M3md:11/8; | |||
m4md: 16/11; | |||
M4md: 11/7; | |||
P5md: 5/3; | |||
m6md: 7/4; | |||
P7md: 2/1 | |||
}} | }} | ||
{{#invoke:MOS_degrees_v2|mos_degrees_frame | {{#invoke:MOS_degrees_v2|mos_degrees_frame | ||
|Scale Signature=5L | |Scale Signature=5L 2s | ||
|Step Ratio=2/1; 3/1; 3/2 | |Step Ratio=2/1; 3/1; 3/2; 79/36 | ||
|MOS Prefix={{{MOS Prefix|}}} | |MOS Prefix={{{MOS Prefix|}}} | ||
| | |Show Abbreviations=1 | ||
|JI Ratios=P4md: 3/2; P3md: 4/3; P7md: 2/1; P0md: 1/1 | |||
|JI Ratios= | |||
}} | }} | ||
| Line 77: | Line 64: | ||
(12edo, L:s = 2:1) | (12edo, L:s = 2:1) | ||
|- | |- | ||
!Steps | ! Steps | ||
!Cents | !Cents | ||
!Steps | !Steps | ||
| Line 90: | Line 77: | ||
|Minor 1-diadegree | |Minor 1-diadegree | ||
|1 | |1 | ||
| 100 | |100 | ||
|1 | |1 | ||
|100 | |100 | ||
| Line 107: | Line 94: | ||
|- | |- | ||
|Major 2-diadegree | |Major 2-diadegree | ||
|4 | | 4 | ||
|400 | |400 | ||
|4 | | 4 | ||
|400 | |400 | ||
|- | |- | ||
| Line 152: | Line 139: | ||
|1000 | |1000 | ||
|10 | |10 | ||
|1000 | | 1000 | ||
|- | |- | ||
|Major 6-diadegree | |Major 6-diadegree | ||
|11 | |11 | ||
| 1100 | |1100 | ||
|11 | |11 | ||
|1100 | |1100 | ||
| Line 168: | Line 155: | ||
{| class="wikitable" | {| class="wikitable" | ||
|+Scale degrees of 5L 2s (with optional columns) | |+Scale degrees of 5L 2s (with optional columns) | ||
! rowspan="2" | Scale degree | ! rowspan="2" |Scale degree | ||
! rowspan="2" |Abbrev. | ! rowspan="2" |Abbrev. | ||
! rowspan="2" |On C | ! rowspan="2" |On C | ||
| Line 186: | Line 173: | ||
|- | |- | ||
|Minor 1-diadegree | |Minor 1-diadegree | ||
|m1md | | m1md | ||
|Db | |Db | ||
|1 | |1 | ||
| Line 196: | Line 183: | ||
|D | |D | ||
|2 | |2 | ||
| 200 | |200 | ||
| | | | ||
|- | |- | ||
| Line 220: | Line 207: | ||
|4/3 | |4/3 | ||
|- | |- | ||
| Augmented 3-diadegree | |Augmented 3-diadegree | ||
|A3md | |A3md | ||
|F# | |F# | ||
| Line 227: | Line 214: | ||
| | | | ||
|- | |- | ||
|Diminished 4-diadegree | | Diminished 4-diadegree | ||
|d4md | |d4md | ||
|Gb | |Gb | ||
|6 | | 6 | ||
|600 | | 600 | ||
| | | | ||
|- | |- | ||
| Line 245: | Line 232: | ||
|Ab | |Ab | ||
|8 | |8 | ||
| 800 | |800 | ||
| | | | ||
|- | |- | ||
| Line 276: | Line 263: | ||
|2/1 | |2/1 | ||
|} | |} | ||
=== Step sizes template=== | ===Step sizes template=== | ||
{{MOS degrees|Scale Signature=4L 3s}} | {{MOS degrees|Scale Signature=4L 3s}} | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
| Line 297: | Line 284: | ||
|- | |- | ||
|Large step | |Large step | ||
| 2 | |2 | ||
|240¢ | |240¢ | ||
|3 | |3 | ||
|276.9¢ | |276.9¢ | ||
| 3 | |3 | ||
|211.8¢ | |211.8¢ | ||
|Hide column if no ratios given | |Hide column if no ratios given | ||
| Line 316: | Line 303: | ||
|Bright generator | |Bright generator | ||
|3 | |3 | ||
|360¢ | | 360¢ | ||
|4 | |4 | ||
|369.2¢ | |369.2¢ | ||
| Line 326: | Line 313: | ||
*Allow option to show the bright generator, dark generator, or no generator. | *Allow option to show the bright generator, dark generator, or no generator. | ||
*JI ratios column only shows if there are any ratios to show | * JI ratios column only shows if there are any ratios to show | ||
===Mbox template test=== | ===Mbox template test=== | ||
| Line 342: | Line 329: | ||
==Math symbols test== | ==Math symbols test== | ||
===Isolated symbols === | ===Isolated symbols=== | ||
<math>T := [ t_1, t_2, ..., t_m ]</math> | <math>T := [ t_1, t_2, ..., t_m ]</math> | ||
<math>S := [ s_1, s_2, ..., s_m ]</math> | <math>S := [ s_1, s_2, ..., s_m ]</math> | ||
<math>P := [ p_1, p_2, ..., p_n ]</math> | <math>P := [ p_1, p_2, ..., p_n ]</math> | ||
=== Sample text=== | ===Sample text=== | ||
Pulled from [[muddle]] page. | Pulled from [[muddle]] page. | ||
| Line 359: | Line 346: | ||
|+<!-- caption -->Intervals of 2L 5s for each mode | |+<!-- caption -->Intervals of 2L 5s for each mode | ||
|- | |- | ||
!Mode!!UDP !! align="right" |Rotational order!! align="right" |mosunison!!1-mosstep!!2-mosstep!!3-mosstep!!4-mosstep!!5-mosstep!!6-mosstep!!mosoctave | ! Mode!!UDP!! align="right" |Rotational order!! align="right" |mosunison !!1-mosstep!! 2-mosstep!!3-mosstep!!4-mosstep!!5-mosstep!!6-mosstep!!mosoctave | ||
|- | |- | ||
|LssLsss||6<nowiki>|</nowiki>0|| align="right" |0|| align="right" |0||L||L+s||L+2s||2L+2s||2L+3s||2L+4s||2L+5s | | LssLsss|| 6<nowiki>|</nowiki>0|| align="right" |0|| align="right" |0||L||L+s||L+2s||2L+2s ||2L+3s||2L+4s||2L+5s | ||
|- | |- | ||
|LsssLss||5<nowiki>|</nowiki>1|| align="right" |3|| align="right" |0||L||L+s||L+2s||L+3s||2L+3s||2L+4s||2L+5s | |LsssLss||5<nowiki>|</nowiki>1|| align="right" |3|| align="right" | 0||L||L+s||L+2s || L+3s ||2L+3s||2L+4s||2L+5s | ||
|- | |- | ||
| sLssLss||4<nowiki>|</nowiki>2|| align="right" |6|| align="right" |0||s||L+s||L+2s||L+3s||2L+3s ||2L+4s||2L+5s | |sLssLss||4<nowiki>|</nowiki>2|| align="right" |6|| align="right" |0||s||L+s||L+2s||L+3s||2L+3s||2L+4s||2L+5s | ||
|- | |- | ||
|sLsssLs||3<nowiki>|</nowiki>3|| align="right" |2|| align="right" |0||s||L+s||L+2s||L+3s||L+4s||2L+4s||2L+5s | |sLsssLs||3<nowiki>|</nowiki>3|| align="right" |2|| align="right" |0||s||L+s||L+2s||L+3s||L+4s ||2L+4s||2L+5s | ||
|- | |- | ||
|ssLssLs||2<nowiki>|</nowiki>4|| align="right" |5|| align="right" |0||s||2s||L+2s||L+3s||L+4s||2L+4s||2L+5s | |ssLssLs||2<nowiki>|</nowiki>4|| align="right" |5|| align="right" |0||s||2s||L+2s ||L+3s||L+4s||2L+4s||2L+5s | ||
|- | |- | ||
|ssLsssL||1<nowiki>|</nowiki>5|| align="right" |1|| align="right" |0||s||2s||L+2s||L+3s||L+4s||L+5s||2L+5s | |ssLsssL||1<nowiki>|</nowiki>5|| align="right" |1|| align="right" |0||s||2s|| L+2s||L+3s||L+4s|| L+5s||2L+5s | ||
|- | |- | ||
|sssLssL||0<nowiki>|</nowiki>6|| align="right" |4|| align="right" |0||s|| 2s||3s||L+3s||L+4s||L+5s||2L+5s | |sssLssL||0<nowiki>|</nowiki>6|| align="right" |4|| align="right" |0||s||2s||3s||L+3s||L+4s||L+5s|| 2L+5s | ||
|} | |} | ||
| Line 382: | Line 369: | ||
!Mode!!UDP!! align="right" |Rotational order!!0-mosdegree!!1-mosdegree!!2-mosdegree!!3-mosdegree!!4-mosdegree!!5-mosdegree!!6-mosdegree!!7-mosdegree | !Mode!!UDP!! align="right" |Rotational order!!0-mosdegree!!1-mosdegree!!2-mosdegree!!3-mosdegree!!4-mosdegree!!5-mosdegree!!6-mosdegree!!7-mosdegree | ||
|- | |- | ||
|LssLsss||6<nowiki>|</nowiki>0|| align="right" |0||perfect||major||major||perfect||augmented||major||major||perfect | |LssLsss||6<nowiki>|</nowiki>0|| align="right" |0||perfect ||major||major||perfect||augmented||major||major||perfect | ||
|- | |- | ||
|LsssLss||5<nowiki>|</nowiki>1|| align="right" |3||perfect||major||major||perfect||perfect||major||major||perfect | |LsssLss||5<nowiki>|</nowiki>1|| align="right" |3|| perfect||major|| major||perfect ||perfect||major||major||perfect | ||
|- | |- | ||
|sLssLss||4<nowiki>|</nowiki>2|| align="right" |6||perfect||minor||major||perfect||perfect||major||major||perfect | |sLssLss||4<nowiki>|</nowiki>2|| align="right" |6||perfect||minor||major||perfect||perfect||major||major||perfect | ||
|- | |- | ||
|sLsssLs||3<nowiki>|</nowiki>3|| align="right" |2||perfect||minor||major||perfect||perfect||minor||major||perfect | |sLsssLs||3<nowiki>|</nowiki>3|| align="right" |2||perfect ||minor||major||perfect||perfect||minor||major||perfect | ||
|- | |- | ||
|ssLssLs||2<nowiki>|</nowiki>4|| align="right" |5||perfect||minor||minor||perfect||perfect|| minor||major|| perfect | |ssLssLs||2<nowiki>|</nowiki>4|| align="right" |5||perfect||minor||minor||perfect||perfect||minor||major||perfect | ||
|- | |- | ||
|ssLsssL|| 1<nowiki>|</nowiki>5|| align="right" |1||perfect||minor||minor||perfect||perfect||minor||minor||perfect | |ssLsssL||1<nowiki>|</nowiki>5|| align="right" |1||perfect ||minor||minor||perfect||perfect||minor||minor||perfect | ||
|- | |- | ||
|sssLssL||0<nowiki>|</nowiki>6|| align="right" |4||perfect||minor||minor||diminished||perfect||minor||minor||perfect | |sssLssL||0<nowiki>|</nowiki>6|| align="right" |4||perfect ||minor||minor||diminished||perfect||minor||minor||perfect | ||
|} | |} | ||
Note: don't merge cells on a table with sorting. | Note: don't merge cells on a table with sorting. | ||
| Line 400: | Line 387: | ||
|+Intervals of 2L 5s for each mode (with mode names) | |+Intervals of 2L 5s for each mode (with mode names) | ||
|- | |- | ||
! Mode | !Mode | ||
!Mode name!!UDP!! align="right" |Rotational order!! align="right" |mosunison!!1-mosstep!!2-mosstep!!3-mosstep!!4-mosstep!!5-mosstep!!6-mosstep!!mosoctave | !Mode name!!UDP!! align="right" |Rotational order!! align="right" |mosunison!!1-mosstep!!2-mosstep!!3-mosstep!!4-mosstep!!5-mosstep!!6-mosstep!!mosoctave | ||
|- | |- | ||
|LssLsss | |LssLsss | ||
|antilocrian||6<nowiki>|</nowiki>0|| align="right" |0|| align="right" |0||L||L+s||L+2s||2L+2s||2L+3s||2L+4s||2L+5s | |antilocrian||6<nowiki>|</nowiki>0|| align="right" |0|| align="right" |0||L||L+s ||L+2s||2L+2s|| 2L+3s||2L+4s||2L+5s | ||
|- | |- | ||
| LsssLss | |LsssLss | ||
|antiphrygian||5<nowiki>|</nowiki>1|| align="right" |3|| align="right" |0||L||L+s||L+2s||L+3s||2L+3s|| 2L+4s||2L+5s | |antiphrygian||5<nowiki>|</nowiki>1|| align="right" |3|| align="right" |0||L||L+s||L+2s||L+3s||2L+3s||2L+4s||2L+5s | ||
|- | |- | ||
|sLssLss | |sLssLss | ||
| Line 413: | Line 400: | ||
|- | |- | ||
|sLsssLs | |sLsssLs | ||
|antidorian||3<nowiki>|</nowiki>3|| align="right" |2|| align="right" |0||s||L+s||L+2s||L+3s||L+4s ||2L+4s||2L+5s | |antidorian|| 3<nowiki>|</nowiki>3 || align="right" |2|| align="right" |0||s||L+s||L+2s||L+3s||L+4s ||2L+4s||2L+5s | ||
|- | |- | ||
|ssLssLs | |ssLssLs | ||
|antimixolydian||2<nowiki>|</nowiki>4|| align="right" |5|| align="right" |0||s||2s||L+2s||L+3s||L+4s||2L+4s|| 2L+5s | |antimixolydian||2<nowiki>|</nowiki>4|| align="right" |5|| align="right" |0||s||2s||L+2s||L+3s||L+4s||2L+4s||2L+5s | ||
|- | |- | ||
|ssLsssL | |ssLsssL | ||
| anti-ionian||1<nowiki>|</nowiki>5|| align="right" |1|| align="right" |0||s||2s||L+2s||L+3s ||L+4s||L+5s||2L+5s | |anti-ionian||1<nowiki>|</nowiki>5 || align="right" | 1|| align="right" |0||s||2s||L+2s||L+3s||L+4s||L+5s||2L+5s | ||
|- | |- | ||
|sssLssL | |sssLssL | ||
| Line 428: | Line 415: | ||
|- | |- | ||
!Mode | !Mode | ||
!Mode name!!UDP!! align="right" |Rotational order!!0-mosdegree!!1-mosdegree!!2-mosdegree!!3-mosdegree!!4-mosdegree!!5-mosdegree!!6-mosdegree!! 7-mosdegree | !Mode name!! UDP!! align="right" |Rotational order!!0-mosdegree !!1-mosdegree!!2-mosdegree!!3-mosdegree!!4-mosdegree!!5-mosdegree!!6-mosdegree!!7-mosdegree | ||
|- | |- | ||
|LssLsss | |LssLsss | ||
|antilocrian||6<nowiki>|</nowiki>0|| align="right" |0||perfect||major||major||perfect||augmented ||major||major ||perfect | |antilocrian||6<nowiki>|</nowiki>0|| align="right" |0||perfect||major||major||perfect||augmented|| major||major||perfect | ||
|- | |- | ||
|LsssLss | |LsssLss | ||
|antiphrygian||5<nowiki>|</nowiki>1|| align="right" |3 | |antiphrygian || 5<nowiki>|</nowiki>1|| align="right" |3 | ||
|perfect | |perfect | ||
|major | |major | ||
|major | |major | ||
|perfect||perfect | | perfect||perfect | ||
|major | |major | ||
|major||perfect | |major||perfect | ||
| Line 454: | Line 441: | ||
|antidorian||3<nowiki>|</nowiki>3|| align="right" |2 | |antidorian||3<nowiki>|</nowiki>3|| align="right" |2 | ||
|perfect | |perfect | ||
|minor | | minor | ||
|major | |major | ||
|perfect | |perfect | ||
| Line 465: | Line 452: | ||
|minor||minor | |minor||minor | ||
|perfect | |perfect | ||
| perfect | |perfect | ||
|minor | |minor | ||
|major||perfect | |major||perfect | ||
| Line 476: | Line 463: | ||
|perfect | |perfect | ||
|perfect | |perfect | ||
|minor ||minor||perfect | |minor||minor||perfect | ||
|- | |- | ||
|sssLssL | |sssLssL | ||
| Line 522: | Line 509: | ||
|[[1L 3s]] | |[[1L 3s]] | ||
|4 | |4 | ||
|1 | | 1 | ||
|antetric | |antetric | ||
|atetra- | |atetra- | ||
| Line 557: | Line 544: | ||
|- | |- | ||
|[[4L 1s]] | |[[4L 1s]] | ||
| 5 | |5 | ||
|1 | |1 | ||
|manual | |manual | ||
| Line 563: | Line 550: | ||
|- | |- | ||
|[[1L 5s]] | |[[1L 5s]] | ||
| 6 | |6 | ||
|1 | |1 | ||
| antimachinoid | |antimachinoid | ||
|amech- | |amech- | ||
|- | |- | ||
| Line 602: | Line 589: | ||
|1 | |1 | ||
|antidiatonic | |antidiatonic | ||
|pel- | | pel- | ||
|- | |- | ||
|[[3L 4s]] | |[[3L 4s]] | ||
| Line 644: | Line 631: | ||
|1 | |1 | ||
|checkertonic | |checkertonic | ||
|check- | | check- | ||
|- | |- | ||
|[[4L 4s]] | |[[4L 4s]] | ||
| Line 704: | Line 691: | ||
|3 | |3 | ||
|hyrulic | |hyrulic | ||
|hyru- | | hyru- | ||
|- | |- | ||
|[[7L 2s]] | |[[7L 2s]] | ||
|9 | |9 | ||
|1 | |1 | ||
|superdiatonic | | superdiatonic | ||
|arm- | |arm- | ||
|- | |- | ||
| Line 715: | Line 702: | ||
|9 | |9 | ||
|1 | |1 | ||
|subneutralic | | subneutralic | ||
|blu- | |blu- | ||
|- | |- | ||
| Line 740: | Line 727: | ||
|2 | |2 | ||
|lime | |lime | ||
| lime- | |lime- | ||
|- | |- | ||
|[[5L 5s]] | |[[5L 5s]] | ||
| Line 761: | Line 748: | ||
|- | |- | ||
|[[8L 2s]] | |[[8L 2s]] | ||
| 10 | |10 | ||
|2 | |2 | ||
|taric | |taric | ||
| Line 769: | Line 756: | ||
|10 | |10 | ||
|1 | |1 | ||
| sinatonic | |sinatonic | ||
|sina- | |sina- | ||
|} | |} | ||
| Line 802: | Line 789: | ||
| | | | ||
|6\11 | |6\11 | ||
| 654.545 | |654.545 | ||
|545.455 | |545.455 | ||
|6 | |6 | ||
| Line 827: | Line 814: | ||
| | | | ||
|9\16 | |9\16 | ||
|675.000 | | 675.000 | ||
|525.000 | |525.000 | ||
|9 | | 9 | ||
|7 | | 7 | ||
|1.286 | |1.286 | ||
|- | |- | ||
| Line 842: | Line 829: | ||
|514.286 | |514.286 | ||
|4 | |4 | ||
| 3 | |3 | ||
|1.333 | |1.333 | ||
|Basic 2L 3s | |Basic 2L 3s | ||
| Line 853: | Line 840: | ||
|11\19 | |11\19 | ||
|694.737 | |694.737 | ||
|505.263 | | 505.263 | ||
|11 | |11 | ||
|8 | |8 | ||
| Line 867: | Line 854: | ||
|700.000 | |700.000 | ||
|500.000 | |500.000 | ||
|7 | | 7 | ||
|5 | |5 | ||
|1.400 | |1.400 | ||
| Line 927: | Line 914: | ||
| | | | ||
|13\21 | |13\21 | ||
|742.857 | | 742.857 | ||
|457.143 | |457.143 | ||
|13 | |13 | ||
|8 | | 8 | ||
|1.625 | | 1.625 | ||
|- | |- | ||
| | | | ||
| Line 1,002: | Line 989: | ||
| | | | ||
|9\13 | |9\13 | ||
| 830.769 | |830.769 | ||
|369.231 | |369.231 | ||
|9 | |9 | ||
| Line 1,015: | Line 1,002: | ||
|7\10 | |7\10 | ||
| | | | ||
|840.000 | | 840.000 | ||
|360.000 | |360.000 | ||
|7 | |7 | ||
| Line 1,077: | Line 1,064: | ||
| | | | ||
|11\15 | |11\15 | ||
|880.000 | | 880.000 | ||
|320.000 | | 320.000 | ||
|11 | |11 | ||
|4 | | 4 | ||
|2.750 | | 2.750 | ||
|- | |- | ||
| | | | ||
| Line 1,103: | Line 1,090: | ||
|10\13 | |10\13 | ||
|923.077 | |923.077 | ||
| 276.923 | |276.923 | ||
|10 | |10 | ||
|3 | |3 | ||
| Line 1,202: | Line 1,189: | ||
{| class="wikitable" | {| class="wikitable" | ||
!2nd ancestor | !2nd ancestor | ||
! 1st ancestor | !1st ancestor | ||
!Mos | !Mos | ||
!1st descendants | !1st descendants | ||
!2nd descendants | ! 2nd descendants | ||
|- | |- | ||
| rowspan="4" |uL vs | | rowspan="4" |uL vs | ||
| rowspan="4" |zL ws | | rowspan="4" |zL ws | ||
| rowspan="4" |xL ys | | rowspan="4" |xL ys | ||
| rowspan="2" | xL (x+y)s | | rowspan="2" |xL (x+y)s | ||
|xL (2x+y)s | |xL (2x+y)s | ||
|- | |- | ||