User:Ganaram inukshuk/Sandbox: Difference between revisions

Ganaram inukshuk (talk | contribs)
Mos degrees template with new code: Added JI ratios to in-progress template
Ganaram inukshuk (talk | contribs)
Testing out JI ratio entry for new mos degrees column
Line 35: Line 35:
|MOS Prefix={{{MOS Prefix|}}}
|MOS Prefix={{{MOS Prefix|}}}
|Show Abbreviations=1
|Show Abbreviations=1
|JI Ratios=P4md: 3/2; P3md: 4/3
|JI Ratios=P4md: 3/2; P3md: 4/3; P7md: 2/1; P0md: 1/1
}}
}}


Line 45: Line 45:
|Genchain Extend={{{Genchain Extend|}}}
|Genchain Extend={{{Genchain Extend|}}}
|MOS Prefix={{{MOS Prefix|}}}
|MOS Prefix={{{MOS Prefix|}}}
|JI Ratios=
}}
}}


Line 54: Line 55:
|Genchain Extend={{{Genchain Extend|}}}
|Genchain Extend={{{Genchain Extend|}}}
|MOS Prefix={{{MOS Prefix|}}}
|MOS Prefix={{{MOS Prefix|}}}
|JI Ratios=
}}
}}


Line 63: Line 65:
|Genchain Extend={{{Genchain Extend|}}}
|Genchain Extend={{{Genchain Extend|}}}
|MOS Prefix={{{MOS Prefix|}}}
|MOS Prefix={{{MOS Prefix|}}}
|JI Ratios=
}}
}}


Line 87: Line 90:
|Minor 1-diadegree
|Minor 1-diadegree
|1
|1
|100
| 100
|1
|1
|100
|100
Line 93: Line 96:
|Major 1-diadegree
|Major 1-diadegree
|2
|2
|200
| 200
|2
|2
|200
|200
Line 105: Line 108:
|Major 2-diadegree
|Major 2-diadegree
|4
|4
| 400
|400
|4
|4
|400
|400
Line 122: Line 125:
|-
|-
|Diminished 4-diadegree
|Diminished 4-diadegree
| 6
|6
|600
|600
|6
|6
Line 153: Line 156:
|Major 6-diadegree
|Major 6-diadegree
|11
|11
|1100
| 1100
|11
|11
|1100
|1100
|-
|-
|'''Perfect 7-diadegree'''
|'''Perfect 7-diadegree'''
| 12
|12
|1200
|1200
| 12
|12
|1200
|1200
|}
|}
{| 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 193: Line 196:
|D
|D
|2
|2
|200
| 200
|
|
|-
|-
Line 211: Line 214:
|-
|-
|'''Perfect 3-diadegree'''
|'''Perfect 3-diadegree'''
| P3md
|P3md
|F
|F
|5
|5
Line 217: Line 220:
|4/3
|4/3
|-
|-
|Augmented 3-diadegree
| Augmented 3-diadegree
|A3md
|A3md
|F#
|F#
Line 242: Line 245:
|Ab
|Ab
|8
|8
|800
| 800
|
|
|-
|-
Line 262: Line 265:
|M6md
|M6md
|B
|B
| 11
|11
|1100
|1100
|
|
Line 273: Line 276:
|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 282: Line 285:
! 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 294: Line 297:
|-
|-
|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
|-
|-
|Small step
|Small step
Line 307: Line 310:
|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 339: Line 342:
==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>
Line 356: 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 377: 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 397: Line 400:
|+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
|-
|-
Line 403: Line 406:
|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 410: Line 413:
|-
|-
|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
Line 416: Line 419:
|-
|-
|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 425: 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
Line 448: Line 451:
|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 462: Line 465:
|minor||minor
|minor||minor
|perfect
|perfect
|perfect
| perfect
|minor
|minor
|major||perfect
|major||perfect
Line 473: Line 476:
|perfect
|perfect
|perfect
|perfect
|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 485: Line 488:
|}
|}


==Alternate mos tables ==
==Alternate mos tables==
{| class="wikitable sortable"
{| class="wikitable sortable"
!Pattern
!Pattern
Line 500: Line 503:
|-
|-
|[[1L 1s]]
|[[1L 1s]]
| 2
|2
|1
|1
|monowood
|monowood
Line 537: Line 540:
|[[1L 4s]]
|[[1L 4s]]
|5
|5
| 1
|1
|pedal
|pedal
|ped-
|ped-
Line 554: Line 557:
|-
|-
|[[4L 1s]]
|[[4L 1s]]
|5
| 5
|1
|1
|manual
|manual
Line 560: Line 563:
|-
|-
|[[1L 5s]]
|[[1L 5s]]
|6
| 6
|1
|1
|antimachinoid
| antimachinoid
|amech-
|amech-
|-
|-
|[[2L 4s]]
|[[2L 4s]]
| 6
|6
|2
|2
|anticitric
|anticitric
Line 572: Line 575:
|-
|-
|[[3L 3s]]
|[[3L 3s]]
| 6
|6
|3
|3
|triwood
|triwood
Line 671: Line 674:
|1
|1
|antisubneutralic
|antisubneutralic
| ablu-
|ablu-
|-
|-
|[[2L 7s]]
|[[2L 7s]]
Line 677: Line 680:
|1
|1
|balzano
|balzano
| bal- /bæl/
|bal- /bæl/
|-
|-
|[[3L 6s]]
|[[3L 6s]]
Line 746: Line 749:
|-
|-
|[[6L 4s]]
|[[6L 4s]]
| 10
|10
| 2
|2
|lemon
|lemon
| lem-
|lem-
|-
|-
|[[7L 3s]]
|[[7L 3s]]
Line 758: Line 761:
|-
|-
|[[8L 2s]]
|[[8L 2s]]
|10
| 10
|2
|2
|taric
|taric
Line 766: Line 769:
|10
|10
|1
|1
|sinatonic
| sinatonic
|sina-
|sina-
|}
|}
Line 774: Line 777:
! colspan="6" |Generator
! colspan="6" |Generator
!Bright gen.
!Bright gen.
! Dark gen.
!Dark gen.
!L
!L
!s
!s
Line 799: Line 802:
|
|
|6\11
|6\11
|654.545
| 654.545
|545.455
|545.455
|6
|6
Line 815: Line 818:
|533.333
|533.333
|5
|5
| 4
|4
|1.250
|1.250
|-
|-
Line 825: Line 828:
|9\16
|9\16
|675.000
|675.000
| 525.000
|525.000
|9
|9
|7
|7
Line 839: Line 842:
|514.286
|514.286
|4
|4
|3
| 3
|1.333
|1.333
|Basic 2L 3s
|Basic 2L 3s
Line 915: Line 918:
|461.538
|461.538
|8
|8
| 5
|5
|1.600
|1.600
|-
|-
Line 962: Line 965:
|7\11
|7\11
|
|
| 763.636
|763.636
|436.364
|436.364
|7
|7
Line 975: Line 978:
|9\14
|9\14
|771.429
|771.429
| 428.571
|428.571
|9
|9
|5
|5
Line 999: Line 1,002:
|
|
|9\13
|9\13
|830.769
| 830.769
|369.231
|369.231
|9
|9
Line 1,015: Line 1,018:
|360.000
|360.000
|7
|7
| 3
|3
|2.333
|2.333
|-
|-
Line 1,054: Line 1,057:
|5
|5
|2.600
|2.600
| rowspan="3" |4L 3s range
| rowspan="3" | 4L 3s range
|-
|-
|
|
Line 1,073: Line 1,076:
|
|
|
|
| 11\15
|11\15
|880.000
|880.000
| 320.000
|320.000
|11
|11
| 4
|4
|2.750
|2.750
|-
|-
Line 1,100: Line 1,103:
|10\13
|10\13
|923.077
|923.077
|276.923
| 276.923
|10
|10
|3
|3
Line 1,123: Line 1,126:
|
|
|
|
| 11\14
|11\14
|942.857
|942.857
| 257.143
|257.143
|11
|11
|3
|3
Line 1,162: Line 1,165:
|5\6
|5\6
|
|
| 1000.000
|1000.000
| 200.000
|200.000
|5
|5
|1
|1
Line 1,176: Line 1,179:
|1028.571
|1028.571
|171.429
|171.429
| 6
|6
|1
|1
|6.000
|6.000
Line 1,196: Line 1,199:
==Module and template sandbox==
==Module and template sandbox==


===Mos ancestors and descendants ===
===Mos ancestors and descendants===
{| class="wikitable"
{| class="wikitable"
!2nd ancestor
!2nd ancestor
!1st ancestor
! 1st ancestor
!Mos
!Mos
!1st descendants
!1st descendants
Line 1,207: Line 1,210:
| 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
|-
|-