User:Ganaram inukshuk/Sandbox: Difference between revisions
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{{#invoke:MOS_degrees_v2|mos_degrees_frame | {{#invoke:MOS_degrees_v2|mos_degrees_frame | ||
|Scale Signature=5L 2s | |Scale Signature=5L 2s | ||
|Step Ratio=2/1 | |Step Ratio=2/1; 3/1; 3/2 | ||
|UDP={{{UDP|}}} | |UDP={{{UDP|}}} | ||
|Notation={{{Notation|}}} | |Notation={{{Notation|}}} | ||
Line 28: | Line 28: | ||
{{#invoke:MOS_degrees_v2|mos_degrees_frame | {{#invoke:MOS_degrees_v2|mos_degrees_frame | ||
|Scale Signature=5L 3s | |Scale Signature=5L 3s | ||
|Step Ratio= | |Step Ratio=2/1; 3/1; 3/2 | ||
|UDP={{{UDP|}}} | |UDP={{{UDP|}}} | ||
|Notation={{{Notation|}}} | |Notation={{{Notation|}}} | ||
Line 37: | Line 37: | ||
{{#invoke:MOS_degrees_v2|mos_degrees_frame | {{#invoke:MOS_degrees_v2|mos_degrees_frame | ||
|Scale Signature=5L 5s | |Scale Signature=5L 5s | ||
|Step Ratio= | |Step Ratio=2/1; 3/1; 3/2 | ||
|UDP={{{UDP|}}} | |UDP={{{UDP|}}} | ||
|Notation={{{Notation|}}} | |Notation={{{Notation|}}} | ||
Line 46: | Line 46: | ||
{{#invoke:MOS_degrees_v2|mos_degrees_frame | {{#invoke:MOS_degrees_v2|mos_degrees_frame | ||
|Scale Signature=4L 5s<3/1> | |Scale Signature=4L 5s<3/1> | ||
|Step Ratio= | |Step Ratio=2/1; 3/1; 3/2 | ||
|UDP={{{UDP|}}} | |UDP={{{UDP|}}} | ||
|Notation={{{Notation|}}} | |Notation={{{Notation|}}} | ||
Line 57: | Line 57: | ||
|+Scale degrees of 5L 2s | |+Scale degrees of 5L 2s | ||
! rowspan="2" |Scale degree | ! rowspan="2" |Scale degree | ||
! colspan="2" |Basic 5L 2s | |||
(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 | |||
!Cents | |||
!Steps | !Steps | ||
!Cents | !Cents | ||
|- | |- | ||
|'''Perfect 0-diadegree''' | |'''Perfect 0-diadegree''' | ||
|0 | |||
|0 | |||
|0 | |0 | ||
|0 | |0 | ||
|- | |- | ||
|Minor 1-diadegree | |Minor 1-diadegree | ||
| 1 | |1 | ||
| 100 | |100 | ||
|1 | |||
|100 | |||
|- | |- | ||
|Major 1-diadegree | |Major 1-diadegree | ||
|2 | |||
|200 | |||
|2 | |2 | ||
|200 | |200 | ||
|- | |- | ||
|Minor 2-diadegree | |Minor 2-diadegree | ||
|3 | |||
|300 | |||
|3 | |3 | ||
|300 | |300 | ||
|- | |- | ||
|Major 2-diadegree | |Major 2-diadegree | ||
|4 | |||
| 400 | |||
|4 | |4 | ||
|400 | |400 | ||
|- | |- | ||
|'''Perfect 3-diadegree''' | |'''Perfect 3-diadegree''' | ||
|5 | |||
|500 | |||
|5 | |5 | ||
|500 | |500 | ||
|- | |- | ||
|Augmented 3-diadegree | |Augmented 3-diadegree | ||
|6 | |||
|600 | |||
|6 | |6 | ||
|600 | |600 | ||
|- | |- | ||
|Diminished 4-diadegree | |Diminished 4-diadegree | ||
| 6 | |||
|600 | |||
|6 | |6 | ||
|600 | |600 | ||
|- | |- | ||
|'''Perfect 4-diadegree''' | |'''Perfect 4-diadegree''' | ||
|7 | |||
|700 | |||
|7 | |7 | ||
|700 | |700 | ||
|- | |- | ||
|Minor 5-diadegree | |Minor 5-diadegree | ||
|8 | |||
|800 | |||
|8 | |8 | ||
|800 | |800 | ||
|- | |- | ||
|Major 5-diadegree | |Major 5-diadegree | ||
|9 | |||
|900 | |||
|9 | |9 | ||
|900 | |900 | ||
|- | |- | ||
|Minor 6-diadegree | |Minor 6-diadegree | ||
|10 | |||
|1000 | |||
|10 | |10 | ||
|1000 | |1000 | ||
|- | |- | ||
|Major 6-diadegree | |Major 6-diadegree | ||
|11 | |||
|1100 | |||
|11 | |11 | ||
|1100 | |1100 | ||
|- | |- | ||
|'''Perfect 7-diadegree''' | |'''Perfect 7-diadegree''' | ||
|12 | | 12 | ||
|1200 | |||
| 12 | |||
|1200 | |1200 | ||
|} | |} | ||
Line 140: | Line 172: | ||
|Minor 1-diadegree | |Minor 1-diadegree | ||
|m1md | |m1md | ||
| Db | |Db | ||
|1 | |1 | ||
|100 | |100 | ||
Line 149: | Line 181: | ||
|D | |D | ||
|2 | |2 | ||
| 200 | |200 | ||
| | | | ||
|- | |- | ||
Line 161: | Line 193: | ||
|Major 2-diadegree | |Major 2-diadegree | ||
|M2md | |M2md | ||
| E | |E | ||
|4 | |4 | ||
|400 | |400 | ||
Line 167: | Line 199: | ||
|- | |- | ||
|'''Perfect 3-diadegree''' | |'''Perfect 3-diadegree''' | ||
|P3md | | P3md | ||
|F | |F | ||
|5 | |5 | ||
Line 176: | Line 208: | ||
|A3md | |A3md | ||
|F# | |F# | ||
| 6 | |6 | ||
|600 | |600 | ||
| | | | ||
Line 218: | Line 250: | ||
|M6md | |M6md | ||
|B | |B | ||
|11 | | 11 | ||
|1100 | |1100 | ||
| | | | ||
|- | |- | ||
|'''Perfect 7-diadegree''' | |'''Perfect 7-diadegree''' | ||
| P7md | |P7md | ||
|C | |C | ||
|12 | |12 | ||
|1200 | |1200 | ||
| 2/1 | |2/1 | ||
|} | |} | ||
===Step sizes template=== | ===Step sizes template=== | ||
Line 238: | Line 270: | ||
! colspan="2" |Hard 3L 4s | ! colspan="2" |Hard 3L 4s | ||
(13edo, L:s = 3:1) | (13edo, L:s = 3:1) | ||
! colspan="2" |Soft 3L 4s | ! colspan="2" | Soft 3L 4s | ||
(17edo, L:s = 3:2) | (17edo, L:s = 3:2) | ||
! rowspan="2" |Approx. JI ratios | ! rowspan="2" |Approx. JI ratios | ||
|- | |- | ||
!Steps | !Steps | ||
!Cents | ! Cents | ||
!Steps | !Steps | ||
!Cents | !Cents | ||
Line 254: | Line 286: | ||
|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 263: | Line 295: | ||
|1 | |1 | ||
|92.3¢ | |92.3¢ | ||
|2 | | 2 | ||
|141.2¢ | |141.2¢ | ||
| | | | ||
|- | |- | ||
|Bright generator | |Bright generator | ||
|3 | | 3 | ||
| 360¢ | | 360¢ | ||
|4 | |4 | ||
|369.2¢ | |369.2¢ | ||
|5 | |5 | ||
|355.6¢ | | 355.6¢ | ||
| | | | ||
|} | |} | ||
Line 293: | Line 325: | ||
{{Mbox|type=notice|text=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.}} | {{Mbox|type=notice|text=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 == | ==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 312: | Line 344: | ||
|+<!-- 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 333: | Line 365: | ||
|+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 363: | Line 395: | ||
|- | |- | ||
|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 384: | Line 416: | ||
|- | |- | ||
|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 | ||
Line 397: | Line 429: | ||
|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 | ||
| perfect | |perfect | ||
|perfect | |perfect | ||
|major | |major | ||
|major ||perfect | |major||perfect | ||
|- | |- | ||
|sLsssLs | | sLsssLs | ||
|antidorian||3<nowiki>|</nowiki>3|| align="right" |2 | |antidorian||3<nowiki>|</nowiki>3|| align="right" |2 | ||
|perfect | |perfect | ||
Line 431: | Line 463: | ||
|minor||minor||perfect | |minor||minor||perfect | ||
|- | |- | ||
|sssLssL | | sssLssL | ||
|antilydian||0<nowiki>|</nowiki>6|| align="right" |4 | |antilydian||0<nowiki>|</nowiki>6|| align="right" |4 | ||
|perfect | |perfect | ||
|minor | |minor | ||
|minor||diminished | | minor||diminished | ||
|perfect | |perfect | ||
|minor | |minor | ||
Line 441: | Line 473: | ||
|} | |} | ||
==Alternate mos tables== | ==Alternate mos tables == | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
!Pattern | !Pattern | ||
Line 456: | Line 488: | ||
|- | |- | ||
|[[1L 1s]] | |[[1L 1s]] | ||
|2 | | 2 | ||
|1 | |1 | ||
|monowood | |monowood | ||
Line 475: | Line 507: | ||
|[[1L 3s]] | |[[1L 3s]] | ||
|4 | |4 | ||
| 1 | |1 | ||
|antetric | |antetric | ||
|atetra- | |atetra- | ||
Line 493: | Line 525: | ||
|[[1L 4s]] | |[[1L 4s]] | ||
|5 | |5 | ||
|1 | | 1 | ||
|pedal | |pedal | ||
|ped- | |ped- | ||
Line 522: | Line 554: | ||
|- | |- | ||
|[[2L 4s]] | |[[2L 4s]] | ||
|6 | | 6 | ||
|2 | |2 | ||
|anticitric | |anticitric | ||
Line 528: | Line 560: | ||
|- | |- | ||
|[[3L 3s]] | |[[3L 3s]] | ||
|6 | | 6 | ||
|3 | |3 | ||
|triwood | |triwood | ||
Line 554: | Line 586: | ||
|7 | |7 | ||
|1 | |1 | ||
| antidiatonic | |antidiatonic | ||
|pel- | |pel- | ||
|- | |- | ||
Line 585: | Line 617: | ||
|1 | |1 | ||
|antipine | |antipine | ||
| apine- | |apine- | ||
|- | |- | ||
|[[2L 6s]] | |[[2L 6s]] | ||
Line 627: | Line 659: | ||
|1 | |1 | ||
|antisubneutralic | |antisubneutralic | ||
|ablu- | | ablu- | ||
|- | |- | ||
|[[2L 7s]] | |[[2L 7s]] | ||
Line 675: | Line 707: | ||
|1 | |1 | ||
|antisinatonic | |antisinatonic | ||
| asina- | |asina- | ||
|- | |- | ||
|[[2L 8s]] | |[[2L 8s]] | ||
Line 693: | Line 725: | ||
|2 | |2 | ||
|lime | |lime | ||
|lime- | | lime- | ||
|- | |- | ||
|[[5L 5s]] | |[[5L 5s]] | ||
Line 702: | Line 734: | ||
|- | |- | ||
|[[6L 4s]] | |[[6L 4s]] | ||
|10 | | 10 | ||
|2 | | 2 | ||
|lemon | |lemon | ||
|lem- | | lem- | ||
|- | |- | ||
|[[7L 3s]] | |[[7L 3s]] | ||
Line 715: | Line 747: | ||
|[[8L 2s]] | |[[8L 2s]] | ||
|10 | |10 | ||
| 2 | |2 | ||
| taric | |taric | ||
| tara- | |tara- | ||
|- | |- | ||
|[[9L 1s]] | |[[9L 1s]] | ||
Line 730: | Line 762: | ||
! colspan="6" |Generator | ! colspan="6" |Generator | ||
!Bright gen. | !Bright gen. | ||
!Dark gen. | ! Dark gen. | ||
!L | !L | ||
!s | !s | ||
Line 771: | Line 803: | ||
|533.333 | |533.333 | ||
|5 | |5 | ||
|4 | | 4 | ||
|1.250 | |1.250 | ||
|- | |- | ||
Line 781: | Line 813: | ||
|9\16 | |9\16 | ||
|675.000 | |675.000 | ||
|525.000 | | 525.000 | ||
|9 | |9 | ||
|7 | |7 | ||
Line 789: | Line 821: | ||
| | | | ||
| | | | ||
| 4\7 | |4\7 | ||
| | | | ||
| | | | ||
|685.714 | |685.714 | ||
| 514.286 | |514.286 | ||
|4 | |4 | ||
|3 | |3 | ||
Line 820: | Line 852: | ||
|700.000 | |700.000 | ||
|500.000 | |500.000 | ||
| 7 | |7 | ||
|5 | |5 | ||
|1.400 | |1.400 | ||
Line 845: | Line 877: | ||
|480.000 | |480.000 | ||
|3 | |3 | ||
| 2 | |2 | ||
|1.500 | |1.500 | ||
| Basic 2L 1s | |Basic 2L 1s | ||
|- | |- | ||
| | | | ||
Line 871: | Line 903: | ||
|461.538 | |461.538 | ||
|8 | |8 | ||
|5 | | 5 | ||
|1.600 | |1.600 | ||
|- | |- | ||
Line 918: | Line 950: | ||
|7\11 | |7\11 | ||
| | | | ||
|763.636 | | 763.636 | ||
|436.364 | |436.364 | ||
|7 | |7 | ||
Line 931: | Line 963: | ||
|9\14 | |9\14 | ||
|771.429 | |771.429 | ||
|428.571 | | 428.571 | ||
| 9 | |9 | ||
| 5 | |5 | ||
|1.800 | |1.800 | ||
|- | |- | ||
Line 971: | Line 1,003: | ||
|360.000 | |360.000 | ||
|7 | |7 | ||
|3 | | 3 | ||
|2.333 | |2.333 | ||
|- | |- | ||
Line 1,029: | Line 1,061: | ||
| | | | ||
| | | | ||
|11\15 | | 11\15 | ||
|880.000 | |880.000 | ||
|320.000 | | 320.000 | ||
|11 | |11 | ||
|4 | | 4 | ||
|2.750 | |2.750 | ||
|- | |- | ||
Line 1,055: | Line 1,087: | ||
| | | | ||
|10\13 | |10\13 | ||
| 923.077 | |923.077 | ||
|276.923 | |276.923 | ||
|10 | |10 | ||
Line 1,079: | Line 1,111: | ||
| | | | ||
| | | | ||
|11\14 | | 11\14 | ||
|942.857 | |942.857 | ||
|257.143 | | 257.143 | ||
|11 | |11 | ||
|3 | |3 | ||
Line 1,118: | Line 1,150: | ||
|5\6 | |5\6 | ||
| | | | ||
|1000.000 | | 1000.000 | ||
|200.000 | | 200.000 | ||
|5 | |5 | ||
|1 | |1 | ||
Line 1,132: | Line 1,164: | ||
|1028.571 | |1028.571 | ||
|171.429 | |171.429 | ||
|6 | | 6 | ||
|1 | |1 | ||
|6.000 | |6.000 | ||
Line 1,152: | Line 1,184: | ||
==Module and template sandbox== | ==Module and template sandbox== | ||
===Mos ancestors and descendants=== | ===Mos ancestors and descendants === | ||
{| class="wikitable" | {| class="wikitable" | ||
!2nd ancestor | !2nd ancestor |
Revision as of 01:16, 10 October 2023
This is a sandbox page for me (Ganaram) to test out a few things before deploying things. (Expect some mess.)
Test area
Mos degrees template with new code
To call module without affecting the current template (fill in arguments as needed):
{{#invoke:MOS_degrees_v2|mos_degrees_frame
|Scale Signature=
|Step Ratio=
|UDP=
|Notation=
|Genchain Extend=
|MOS Prefix=
}}
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".
Script error: No such module "MOS_degrees_v2".
Mos degrees template (version 2)
Scale degree | Basic 5L 2s
(12edo, L:s = 2:1) |
Basic 5L 2s
(12edo, L:s = 2:1) | ||
---|---|---|---|---|
Steps | Cents | Steps | Cents | |
Perfect 0-diadegree | 0 | 0 | 0 | 0 |
Minor 1-diadegree | 1 | 100 | 1 | 100 |
Major 1-diadegree | 2 | 200 | 2 | 200 |
Minor 2-diadegree | 3 | 300 | 3 | 300 |
Major 2-diadegree | 4 | 400 | 4 | 400 |
Perfect 3-diadegree | 5 | 500 | 5 | 500 |
Augmented 3-diadegree | 6 | 600 | 6 | 600 |
Diminished 4-diadegree | 6 | 600 | 6 | 600 |
Perfect 4-diadegree | 7 | 700 | 7 | 700 |
Minor 5-diadegree | 8 | 800 | 8 | 800 |
Major 5-diadegree | 9 | 900 | 9 | 900 |
Minor 6-diadegree | 10 | 1000 | 10 | 1000 |
Major 6-diadegree | 11 | 1100 | 11 | 1100 |
Perfect 7-diadegree | 12 | 1200 | 12 | 1200 |
Scale degree | Abbrev. | On C | Basic 5L 2s
(12edo, L:s = 2:1) |
Approx. JI ratios | |
---|---|---|---|---|---|
Steps | Cents | ||||
Perfect 0-diadegree | P0md | C | 0 | 0 | 1/1 |
Minor 1-diadegree | m1md | Db | 1 | 100 | |
Major 1-diadegree | M1md | D | 2 | 200 | |
Minor 2-diadegree | m2md | Eb | 3 | 300 | |
Major 2-diadegree | M2md | E | 4 | 400 | |
Perfect 3-diadegree | P3md | F | 5 | 500 | 4/3 |
Augmented 3-diadegree | A3md | F# | 6 | 600 | |
Diminished 4-diadegree | d4md | Gb | 6 | 600 | |
Perfect 4-diadegree | P4md | G | 7 | 700 | 3/2 |
Minor 5-diadegree | m5md | Ab | 8 | 800 | |
Major 5-diadegree | M5md | A | 9 | 900 | |
Minor 6-diadegree | m6md | Bb | 10 | 1000 | |
Major 6-diadegree | M6md | B | 11 | 1100 | |
Perfect 7-diadegree | P7md | C | 12 | 1200 | 2/1 |
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 |