User:Ganaram inukshuk/Sandbox: Difference between revisions

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VisualWikitext
Ganaram inukshuk (talk | contribs)
autopatrolled, emailconfirmed
4,810 edits
→Mos degrees template with new code: Added JI ratios to in-progress template
Ganaram inukshuk (talk | contribs)
autopatrolled, emailconfirmed
4,810 edits
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
|-
|-

Revision as of 05:40, 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

Expanding the mos intro to include step patterns

Base pattern for single-period scales

xL ys, also called mosname or alt-mosname, is a moment-of-symmetry scale consisting of x large step(s) and y small step(s), repeating every octave. This scale has a step pattern of step-pattern, or some rotation thereof, and is made using a generator ranging from g1¢ to g2¢, or from d1¢ to d2¢.

5L 2s, also called diatonic, is a moment of symmetry scale consisting of 5 large steps and 2 small steps, repeating every octave. This scale has a step pattern of LLLsLLs, or some rotation thereof, and is made using a generator ranging from 685.714¢ to 720¢, or from 480¢ to 514.286¢.

Base pattern for multi-period scales

nxL nys, also called mosname or alt-mosname, is a moment-of-symmetry scale consisting of nx large step(s) and ny small step(s), with a period of x large step(s) and y small step(s) that repeats n times every octave, or every p¢. This scale has a step pattern of step-pattern, or some rotation thereof for every period, and is made using a generator ranging from g2¢ to g2¢, or from d1¢ to d2¢.

3L 6s, also called tcherepnin, is a moment of symmetry scale consisting of 3 large steps and 6 small steps, with a period of 1 large step and 2 small steps that repeats 3 times every octave, or every 400¢. This scale has a step pattern of Lss, or some rotation thereof, for every period, and is made using a generator ranging from 266.667¢ to 400¢, or from 0¢ to 133.333¢.

Mos degrees template with new code

Template to call module without affecting the current template (fill in arguments as needed): 

{{#invoke:MOS_degrees_v2|mos_degrees_frame
|Scale Signature=
|Step Ratio=
|MOS Prefix=
|Show Abbreviations=
|JI Ratios=
}}

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 degrees of 5L 2s
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 degrees of 5L 2s (with optional columns)
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 of 4L 3s
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)
3L 4s 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

Mbox template test

These would be their own templates.

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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.

Intervals of 2L 5s for each mode
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


Degrees of 2L 5s for each mode
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.

Intervals of 2L 5s for each mode (with mode names)
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
Degrees of 2L 5s for each mode (with mode names)
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
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