User:Ganaram inukshuk/Sandbox: Difference between revisions
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|MOS Prefix={{{MOS Prefix|}}} | |MOS Prefix={{{MOS Prefix|}}} | ||
|Show Abbreviations=1 | |Show Abbreviations=1 | ||
|Number of Alterations=0 | |||
|JI Ratios=P4md: 3/2; P3md: 4/3 | |JI Ratios=P4md: 3/2; P3md: 4/3 | ||
}} | }} | ||
| Line 71: | Line 72: | ||
|+Scale degrees of 5L 2s | |+Scale degrees of 5L 2s | ||
! rowspan="2" |Scale degree | ! rowspan="2" |Scale degree | ||
! colspan="2" |Basic 5L 2s | ! colspan="2" | Basic 5L 2s | ||
(12edo, L:s = 2:1) | (12edo, L:s = 2:1) | ||
! colspan="2" |Basic 5L 2s | ! colspan="2" | Basic 5L 2s | ||
(12edo, L:s = 2:1) | (12edo, L:s = 2:1) | ||
|- | |- | ||
! Steps | !Steps | ||
!Cents | !Cents | ||
!Steps | !Steps | ||
| Line 94: | Line 95: | ||
|- | |- | ||
|Major 1-diadegree | |Major 1-diadegree | ||
|2 | | 2 | ||
| 200 | |200 | ||
|2 | |2 | ||
|200 | |200 | ||
| Line 106: | Line 107: | ||
|- | |- | ||
|Major 2-diadegree | |Major 2-diadegree | ||
| 4 | |4 | ||
|400 | |400 | ||
| 4 | |4 | ||
|400 | |400 | ||
|- | |- | ||
|'''Perfect 3-diadegree''' | |'''Perfect 3-diadegree''' | ||
|5 | |5 | ||
|500 | | 500 | ||
|5 | |5 | ||
|500 | |500 | ||
| Line 148: | Line 149: | ||
|- | |- | ||
|Minor 6-diadegree | |Minor 6-diadegree | ||
|10 | |||
| 1000 | |||
|10 | |10 | ||
|1000 | |1000 | ||
|- | |- | ||
|Major 6-diadegree | |Major 6-diadegree | ||
| Line 168: | Line 169: | ||
|+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 | ||
! colspan="2" |Basic 5L 2s | ! colspan="2" | Basic 5L 2s | ||
(12edo, L:s = 2:1) | (12edo, L:s = 2:1) | ||
! rowspan="2" |Approx. JI ratios | ! rowspan="2" |Approx. JI ratios | ||
| Line 185: | Line 186: | ||
|- | |- | ||
|Minor 1-diadegree | |Minor 1-diadegree | ||
| m1md | |m1md | ||
|Db | |Db | ||
|1 | |1 | ||
| Line 215: | Line 216: | ||
|P3md | |P3md | ||
|F | |F | ||
|5 | | 5 | ||
|500 | |500 | ||
|4/3 | |4/3 | ||
| Line 226: | Line 227: | ||
| | | | ||
|- | |- | ||
| Diminished 4-diadegree | |Diminished 4-diadegree | ||
|d4md | |d4md | ||
|Gb | |Gb | ||
| 6 | | 6 | ||
| 600 | |600 | ||
| | | | ||
|- | |- | ||
| Line 264: | Line 265: | ||
|M6md | |M6md | ||
|B | |B | ||
|11 | | 11 | ||
|1100 | |1100 | ||
| | | | ||
| Line 280: | Line 281: | ||
|+3L 4s step sizes | |+3L 4s step sizes | ||
! rowspan="2" |Interval | ! rowspan="2" |Interval | ||
! colspan="2" |Basic 3L 4s | ! colspan="2" | Basic 3L 4s | ||
(10edo, L:s = 2:1) | (10edo, L:s = 2:1) | ||
! colspan="2" |Hard 3L 4s | ! colspan="2" |Hard 3L 4s | ||
| Line 299: | Line 300: | ||
|240¢ | |240¢ | ||
|3 | |3 | ||
|276.9¢ | | 276.9¢ | ||
|3 | |3 | ||
|211.8¢ | |211.8¢ | ||
| Line 315: | Line 316: | ||
|Bright generator | |Bright generator | ||
|3 | |3 | ||
| 360¢ | |360¢ | ||
|4 | |4 | ||
|369.2¢ | |369.2¢ | ||
| Line 325: | Line 326: | ||
*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 === | ||
These would be their own templates. | These would be their own templates. | ||
| Line 358: | Line 359: | ||
|+<!-- 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 379: | Line 380: | ||
|+Degrees of 2L 5s for each mode | |+Degrees of 2L 5s for each mode | ||
|- | |- | ||
!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 403: | Line 404: | ||
|- | |- | ||
|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 | ||
|anti-aeolian||4<nowiki>|</nowiki>2|| align="right" |6|| align="right" |0||s||L+s||L+2s||L+3s||2L+3s||2L+4s||2L+5s | |anti-aeolian ||4<nowiki>|</nowiki>2|| align="right" |6|| align="right" |0||s||L+s||L+2s||L+3s||2L+3s||2L+4s||2L+5s | ||
|- | |- | ||
|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 | ||
|antilydian||0<nowiki>|</nowiki>6|| align="right" |4|| align="right" |0||s||2s||3s||L+3s||L+4s||L+5s||2L+5s | |antilydian ||0<nowiki>|</nowiki>6|| align="right" |4|| align="right" |0||s||2s||3s||L+3s||L+4s||L+5s||2L+5s | ||
|} | |} | ||
{| class="wikitable sortable" style="text-align: left;" | {| class="wikitable sortable" style="text-align: left;" | ||
| Line 427: | Line 428: | ||
|- | |- | ||
!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 | ||
|- | |- | ||
|sLssLss | |sLssLss | ||
|anti-aeolian||4<nowiki>|</nowiki>2|| align="right" |6 | |anti-aeolian ||4<nowiki>|</nowiki>2|| align="right" |6 | ||
|perfect||minor | |perfect||minor | ||
|major | |major | ||
| Line 451: | Line 452: | ||
|- | |- | ||
|sLsssLs | |sLsssLs | ||
|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 460: | Line 461: | ||
|- | |- | ||
|ssLssLs | |ssLssLs | ||
|antimixolydian||2<nowiki>|</nowiki>4|| align="right" |5 | |antimixolydian ||2<nowiki>|</nowiki>4|| align="right" |5 | ||
|perfect | |perfect | ||
|minor||minor | |minor||minor | ||
| Line 469: | Line 470: | ||
|- | |- | ||
|ssLsssL | |ssLsssL | ||
|anti-ionian||1<nowiki>|</nowiki>5|| align="right" |1 | |anti-ionian ||1<nowiki>|</nowiki>5|| align="right" |1 | ||
|perfect | |perfect | ||
|minor | |minor | ||
| Line 478: | Line 479: | ||
|- | |- | ||
|sssLssL | |sssLssL | ||
|antilydian||0<nowiki>|</nowiki>6|| align="right" |4 | |antilydian ||0<nowiki>|</nowiki>6|| align="right" |4 | ||
|perfect | |perfect | ||
|minor | |minor | ||
| Line 487: | Line 488: | ||
|} | |} | ||
==Alternate mos tables== | == Alternate mos tables== | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
!Pattern | !Pattern | ||
| Line 521: | Line 522: | ||
|[[1L 3s]] | |[[1L 3s]] | ||
|4 | |4 | ||
| 1 | |1 | ||
|antetric | |antetric | ||
|atetra- | |atetra- | ||
| Line 527: | Line 528: | ||
|[[2L 2s]] | |[[2L 2s]] | ||
|4 | |4 | ||
|2 | | 2 | ||
|biwood | |biwood | ||
|biwd- | |biwd- | ||
| Line 545: | Line 546: | ||
|[[2L 3s]] | |[[2L 3s]] | ||
|5 | |5 | ||
|1 | | 1 | ||
|pentic | |pentic | ||
|pent- | |pent- | ||
| Line 557: | Line 558: | ||
|[[4L 1s]] | |[[4L 1s]] | ||
|5 | |5 | ||
|1 | | 1 | ||
|manual | |manual | ||
|manu- | |manu- | ||
| Line 588: | Line 589: | ||
|6 | |6 | ||
|1 | |1 | ||
|machinoid | | machinoid | ||
|mech- | |mech- | ||
|- | |- | ||
| Line 601: | Line 602: | ||
|1 | |1 | ||
|antidiatonic | |antidiatonic | ||
| pel- | |pel- | ||
|- | |- | ||
|[[3L 4s]] | |[[3L 4s]] | ||
| Line 630: | Line 631: | ||
|8 | |8 | ||
|1 | |1 | ||
|antipine | | antipine | ||
|apine- | |apine- | ||
|- | |- | ||
| Line 643: | Line 644: | ||
|1 | |1 | ||
|checkertonic | |checkertonic | ||
| check- | |check- | ||
|- | |- | ||
|[[4L 4s]] | |[[4L 4s]] | ||
| Line 703: | Line 704: | ||
|3 | |3 | ||
|hyrulic | |hyrulic | ||
| hyru- | |hyru- | ||
|- | |- | ||
|[[7L 2s]] | |[[7L 2s]] | ||
|9 | |9 | ||
|1 | |1 | ||
| superdiatonic | |superdiatonic | ||
|arm- | |arm- | ||
|- | |- | ||
| Line 714: | Line 715: | ||
|9 | |9 | ||
|1 | |1 | ||
| subneutralic | |subneutralic | ||
|blu- | |blu- | ||
|- | |- | ||
| Line 732: | Line 733: | ||
|10 | |10 | ||
|1 | |1 | ||
|sephiroid | | sephiroid | ||
|seph- | |seph- | ||
|- | |- | ||
| Line 803: | Line 804: | ||
|654.545 | |654.545 | ||
|545.455 | |545.455 | ||
|6 | | 6 | ||
|5 | |5 | ||
|1.200 | |1.200 | ||
| Line 825: | Line 826: | ||
| | | | ||
| | | | ||
|9\16 | | 9\16 | ||
| 675.000 | |675.000 | ||
|525.000 | |525.000 | ||
| 9 | |9 | ||
| 7 | |7 | ||
|1.286 | |1.286 | ||
|- | |- | ||
| Line 852: | Line 853: | ||
|11\19 | |11\19 | ||
|694.737 | |694.737 | ||
| 505.263 | |505.263 | ||
|11 | |11 | ||
|8 | |8 | ||
| Line 866: | Line 867: | ||
|700.000 | |700.000 | ||
|500.000 | |500.000 | ||
| 7 | |7 | ||
|5 | |5 | ||
|1.400 | |1.400 | ||
| Line 926: | Line 927: | ||
| | | | ||
|13\21 | |13\21 | ||
| 742.857 | |742.857 | ||
|457.143 | |457.143 | ||
|13 | |13 | ||
| 8 | |8 | ||
| 1.625 | |1.625 | ||
|- | |- | ||
| | | | ||
| Line 1,003: | Line 1,004: | ||
|830.769 | |830.769 | ||
|369.231 | |369.231 | ||
|9 | | 9 | ||
|4 | |4 | ||
|2.250 | |2.250 | ||
| Line 1,014: | Line 1,015: | ||
|7\10 | |7\10 | ||
| | | | ||
| 840.000 | |840.000 | ||
|360.000 | |360.000 | ||
|7 | |7 | ||
| Line 1,056: | Line 1,057: | ||
|5 | |5 | ||
|2.600 | |2.600 | ||
| rowspan="3" | 4L 3s range | | rowspan="3" |4L 3s range | ||
|- | |- | ||
| | | | ||
| Line 1,076: | Line 1,077: | ||
| | | | ||
|11\15 | |11\15 | ||
| 880.000 | |880.000 | ||
| 320.000 | |320.000 | ||
|11 | |11 | ||
| 4 | |4 | ||
| 2.750 | |2.750 | ||
|- | |- | ||
| | | | ||
| Line 1,153: | Line 1,154: | ||
|981.818 | |981.818 | ||
|218.182 | |218.182 | ||
|9 | | 9 | ||
|2 | |2 | ||
|4.500 | |4.500 | ||
| Line 1,191: | Line 1,192: | ||
|0.000 | |0.000 | ||
|1 | |1 | ||
|0 | | 0 | ||
|→ inf | |→ inf | ||
| | | | ||
|} | |} | ||
==Module and template sandbox== | ==Module and template sandbox == | ||
===Mos ancestors and descendants=== | ===Mos ancestors and descendants=== | ||
| Line 1,204: | Line 1,205: | ||
!Mos | !Mos | ||
!1st descendants | !1st descendants | ||
! 2nd descendants | !2nd descendants | ||
|- | |- | ||
| rowspan="4" |uL vs | | rowspan="4" |uL vs | ||
| Line 1,215: | Line 1,216: | ||
|- | |- | ||
| rowspan="2" |(x+y)L xs | | rowspan="2" |(x+y)L xs | ||
|(2x+y)L (x+y)s | | (2x+y)L (x+y)s | ||
|- | |- | ||
|(x+y)L (2x+y)s | |(x+y)L (2x+y)s | ||
|} | |} | ||