User:Ganaram inukshuk/Sandbox: Difference between revisions

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6,211 edits
Sandboxing proposed template for mos step sizes
Line 1: Line 1:
This is a sandbox page for me (Ganaram) to test out a few things before deploying things. (Expect some mess.)
This is a sandbox page for me (Ganaram) to test out a few things before deploying things. (Expect some mess.)


== Math symbols test ==
== Test area ==
Step sizes template
{| class="wikitable sortable"
|+3L 4s step sizes
! rowspan="2" |Interval
! colspan="2" |Basic 3L 4s
(10edo, L:s = 2:1)
! colspan="2" |Hard 3L 4s
(13edo, L:s = 3:1)
! colspan="2" |Soft 3L 4s
(17edo, L:s = 3:2)
! rowspan="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:


=== Isolated symbols ===
* Allow option to show the bright generator, dark generator, or no generator.
* JI ratios column only shows if there are any ratios to show
 
==Math symbols test==
 
===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 15: Line 67:
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.
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 ==
==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.
The following two tables were made using a custom program (dubbed Moscalc and Modecalc) whose output is formatted for use with MediaWiki.
{| class="wikitable sortable" style="text-align: left;"
{| class="wikitable sortable" style="text-align: left;"
|+<!-- 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 41: Line 93:
|+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 62: Line 114:
|-
|-
! 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
|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 89: Line 141:
|-
|-
! 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
|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
|minor
|minor
|major
|major
|perfect
|perfect
|perfect|| minor
|perfect||minor
|major|| perfect
|major||perfect
|-
|-
| ssLssLs
|ssLssLs
|antimixolydian|| 2<nowiki>|</nowiki>4 || align="right" | 5
|antimixolydian||2<nowiki>|</nowiki>4|| align="right" |5
|perfect
|perfect
|minor|| minor
|minor||minor
|perfect
|perfect
|perfect
|perfect
|minor
|minor
|major|| perfect
|major||perfect
|-
|-
| 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 137: Line 189:
|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
|minor|| perfect
|minor||perfect
|}
|}


== Alternate mos tables ==
==Alternate mos tables==
{| class="wikitable sortable"
{| class="wikitable sortable"
!Pattern
!Pattern
Line 434: Line 486:
|}
|}


== Scale trees of 1L 1s, 1L 2s, and 2L 1s (sandbox) ==
==Scale trees of 1L 1s, 1L 2s, and 2L 1s (sandbox)==
{| class="wikitable"
{| class="wikitable"
! colspan="6" |Generator
! colspan="6" |Generator
!Bright gen.
!Bright gen.
! Dark gen.
!Dark gen.
!L
!L
!s
!s
!L/s
! L/s
!Ranges of mosses
!Ranges of mosses
|-
|-
Line 450: Line 502:
|
|
|
|
| 600.000
|600.000
|600.000
|600.000
|1
|1
Line 468: Line 520:
|5
|5
|1.200
|1.200
| rowspan="3" |2L 5s range (includes 2L 7s and 7L 2s)
| rowspan="3" | 2L 5s range (includes 2L 7s and 7L 2s)
|-
|-
|
|
Line 505: Line 557:
|3
|3
|1.333
|1.333
| Basic 2L 3s
|Basic 2L 3s
|-
|-
|
|
Line 518: Line 570:
|8
|8
|1.375
|1.375
| rowspan="3" |5L 2s range (includes 7L 5s and 5L 7s)
| rowspan="3" | 5L 2s range (includes 7L 5s and 5L 7s)
|-
|-
|
|
Line 524: Line 576:
|
|
|
|
| 7\12
|7\12
|
|
| 700.000
|700.000
|500.000
|500.000
|7
|7
Line 538: Line 590:
|
|
|10\17
|10\17
| 705.882
|705.882
|494.118
|494.118
|10
|10
Line 574: Line 626:
|
|
|
|
| 8\13
|8\13
|
|
| 738.462
|738.462
|461.538
|461.538
|8
|8
Line 589: Line 641:
|13\21
|13\21
|742.857
|742.857
| 457.143
|457.143
|13
|13
|8
|8
Line 601: Line 653:
|
|
|750.000
|750.000
| 450.000
|450.000
|5
|5
|3
|3
|1.667
|1.667
| Basic 3L 2s
|Basic 3L 2s
|-
|-
|
|
Line 613: Line 665:
|
|
|12\19
|12\19
| 757.895
|757.895
|442.105
|442.105
|12
|12
Line 645: Line 697:
|-
|-
|
|
| 2\3
|2\3
|
|
|
|
Line 655: Line 707:
|1
|1
|2.000
|2.000
| Basic 1L 1s (dividing line between 2L 1s and 1L 2s)
|Basic 1L 1s (dividing line between 2L 1s and 1L 2s)
|-
|-
|
|
Line 663: Line 715:
|
|
|9\13
|9\13
| 830.769
|830.769
|369.231
|369.231
| 9
|9
| 4
| 4
|2.250
|2.250
| rowspan="3" |3L 4s range (includes 3L 7s and 7L 3s)
| rowspan="3" | 3L 4s range (includes 3L 7s and 7L 3s)
|-
|-
|
|
Line 678: Line 730:
|840.000
|840.000
|360.000
|360.000
| 7
|7
| 3
|3
|2.333
|2.333
|-
|-
Line 687: Line 739:
|
|
|
|
| 12\17
|12\17
|847.059
|847.059
|352.941
|352.941
| 12
|12
| 5
|5
|2.400
|2.400
|-
|-
Line 697: Line 749:
|
|
|
|
| 5\7
|5\7
|
|
|
|
|857.143
|857.143
| 342.857
|342.857
| 5
|5
| 2
|2
| 2.500
|2.500
|Basic 3L 1s
|Basic 3L 1s
|-
|-
Line 713: Line 765:
|
|
|13\18
|13\18
| 866.667
|866.667
|333.333
|333.333
|13
|13
Line 726: Line 778:
|8\11
|8\11
|
|
| 872.727
|872.727
|327.273
|327.273
| 8
|8
| 3
|3
|2.667
|2.667
|-
|-
Line 738: Line 790:
|
|
|11\15
|11\15
| 880.000
|880.000
|320.000
|320.000
| 11
|11
|4
|4
|2.750
|2.750
Line 752: Line 804:
|900.000
|900.000
|300.000
|300.000
| 3
|3
| 1
|1
|3.000
|3.000
|Basic 1L 2s
|Basic 1L 2s
Line 763: Line 815:
|
|
|10\13
|10\13
| 923.077
|923.077
|276.923
|276.923
| 10
|10
|3
|3
|3.333
|3.333
| rowspan="3" | Range of 1L 4s (includes 4L 5s and 5L 4s)
| rowspan="3" |Range of 1L 4s (includes 4L 5s and 5L 4s)
|-
|-
|
|
Line 776: Line 828:
|7\9
|7\9
|
|
| 933.333
|933.333
|266.667
|266.667
| 7
|7
|2
|2
|3.500
|3.500
Line 787: Line 839:
|
|
|
|
| 11\14
|11\14
|942.857
|942.857
|257.143
|257.143
Line 800: Line 852:
|
|
|
|
| 960.000
|960.000
| 240.000
|240.000
|4
|4
|1
|1
|4.000
|4.000
| Basic 1L 4s
|Basic 1L 4s
|-
|-
|
|
Line 812: Line 864:
|
|
|
|
| 9\11
|9\11
| 981.818
|981.818
| 218.182
|218.182
|9
|9
|2
|2
|4.500
|4.500
| rowspan="3" | Range of 4L 1s (includes 5L 1s and 1L 5s)
| rowspan="3" |Range of 4L 1s (includes 5L 1s and 1L 5s)
|-
|-
|
|
Line 824: Line 876:
|
|
|
|
| 5\6
|5\6
|
|
|1000.000
|1000.000
Line 838: Line 890:
|
|
|6\7
|6\7
| 1028.571
|1028.571
|171.429
|171.429
| 6
|6
|1
|1
|6.000
|6.000
Line 851: Line 903:
|
|
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== 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 00:32, 4 July 2023

This is a sandbox page for me (Ganaram) to test out a few things before deploying things. (Expect some mess.)

Test area

Step sizes template

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

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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