User:Ganaram inukshuk/Sandbox: Difference between revisions

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m →Mbox template test: Sandboxed a few mbox-based templates (stub, cleanup, under construction)
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→Test area: Mos degrees template, v2 mockup
Line 5: Line 5:
== Test area ==
== Test area ==


=== Step sizes template ===
=== Mos degrees template (version 2)===
{| class="wikitable"
|+Scale degrees of 5L 2s
(Note names and JI ratios column are optional)
! rowspan="2" |Scale degree
! rowspan="2" |On C
! colspan="2" |Basic 5L 2s
(12edo, L:s = 2:1)
! rowspan="2" |Approx. JI ratios
|-
!Steps
!Cents
|-
|'''Perfect 0-diadegree'''
|C
|0
|0
|1/1
|-
|Minor 1-diadegree
|Db
|1
|100
|
|-
|Major 1-diadegree
|D
|2
|200
|
|-
|Minor 2-diadegree
|Eb
|3
|300
|
|-
|Major 2-diadegree
|E
|4
|400
|
|-
|'''Perfect 3-diadegree'''
|F
|5
|500
|4/3
|-
|Augmented 3-diadegree
|F#
|6
|600
|
|-
|Diminished 4-diadegree
|Gb
|6
|600
|
|-
|'''Perfect 4-diadegree'''
|G
|7
|700
|3/2
|-
|Minor 5-diadegree
|Ab
|8
|800
|
|-
|Major 5-diadegree
|A
|9
|900
|
|-
|Minor 6-diadegree
|Bb
|10
|1000
|
|-
|Major 6-diadegree
|B
|11
|1100
|
|-
|'''Perfect 7-diadegrPerfect 0-mosdegree (unison)ee'''
|C
|12
|1200
|2/1
|}
{| class="wikitable"
|+Scale degrees of 5L 2s
(main columns only)
! rowspan="2" |Scale degree
! colspan="2" |Basic 5L 2s
(12edo, L:s = 2:1)
|-
!Steps
!Cents
|-
|'''Perfect 0-diadegree'''
|0
|0
|-
|Minor 1-diadegree
|1
|100
|-
|Major 1-diadegree
|2
|200
|-
|Minor 2-diadegree
|3
|300
|-
|Major 2-diadegree
|4
|400
|-
|'''Perfect 3-diadegree'''
|5
|500
|-
|Augmented 3-diadegree
|6
|600
|-
|Diminished 4-diadegree
|6
|600
|-
|'''Perfect 4-diadegree'''
|7
|700
|-
|Minor 5-diadegree
|8
|800
|-
|Major 5-diadegree
|9
|900
|-
|Minor 6-diadegree
|10
|1000
|-
|Major 6-diadegree
|11
|1100
|-
|'''Perfect 7-diadegrPerfect 0-mosdegree (unison)ee'''
|12
|1200
|}
 
===Step sizes template===
{{MOS degrees|Scale Signature=4L 3s}}
{| class="wikitable sortable"
{| class="wikitable sortable"
|+3L 4s step sizes
|+3L 4s step sizes
Line 28: Line 193:
|240¢
|240¢
|3
|3
|276.9¢
| 276.9¢
|3
|3
|211.8¢
|211.8¢
Line 47: Line 212:
|4
|4
|369.2¢
|369.2¢
|5
| 5
|355.6¢
|355.6¢
|
|
Line 53: Line 218:
Notes:
Notes:


* Allow option to show the bright generator, dark generator, or no generator.
*Allow option to show the bright generator, dark generator, or no generator.
* JI ratios column only shows if there are any ratios to show
*JI ratios column only shows if there are any ratios to show


=== Mbox template test ===
===Mbox template test===
These would be their own templates.
These would be their own templates.


Line 75: Line 240:
<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 87: Line 252:
|+<!-- 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 108: Line 273:
|+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 128: Line 293:
|+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
|-
|-
|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;"
|+Degrees of 2L 5s for each mode (with mode names)
|+Degrees of 2L 5s for each mode (with mode names)
|-
|-
! 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
Line 168: Line 333:
|perfect||perfect
|perfect||perfect
|major
|major
|major||perfect
| major ||perfect
|-
|-
|sLssLss
|sLssLss
|anti-aeolian||4<nowiki>|</nowiki>2|| align="right" |6
|anti-aeolian||4<nowiki>|</nowiki>2|| align="right" | 6
|perfect||minor
|perfect||minor
|major
|major
Line 207: Line 372:
|-
|-
|sssLssL
|sssLssL
|antilydian||0<nowiki>|</nowiki>6|| align="right" |4
| antilydian||0<nowiki>|</nowiki>6|| align="right" |4
|perfect
|perfect
|minor
|minor
Line 389: Line 554:
|8
|8
|2
|2
|ekic
| ekic
|ek-
|ek-
|-
|-
Line 399: Line 564:
|-
|-
|[[1L 8s]]
|[[1L 8s]]
|9
| 9
|1
| 1
|antisubneutralic
|antisubneutralic
|ablu-
|ablu-
Line 483: Line 648:
|-
|-
|[[7L 3s]]
|[[7L 3s]]
|10
| 10
|1
|1
|dicoid /'daɪkɔɪd/
|dicoid /'daɪkɔɪd/
Line 501: Line 666:
|}
|}


==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
Line 508: Line 673:
!L
!L
!s
!s
! L/s
!L/s
!Ranges of mosses
!Ranges of mosses
|-
|-
Line 535: Line 700:
|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 547: Line 712:
|5
|5
|4
|4
|1.250
| 1.250
|-
|-
|
|
Line 585: Line 750:
|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 597: Line 762:
|7
|7
|5
|5
|1.400
| 1.400
|-
|-
|
|
Line 733: Line 898:
|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 754: Line 919:
|
|
|
|
|12\17
| 12\17
|847.059
|847.059
|352.941
|352.941
|12
| 12
|5
| 5
|2.400
| 2.400
|-
|-
|
|
Line 804: Line 969:
|
|
|
|
|11\15
| 11\15
|880.000
|880.000
|320.000
|320.000
Line 820: Line 985:
|300.000
|300.000
|3
|3
|1
| 1
|3.000
|3.000
|Basic 1L 2s
|Basic 1L 2s
Line 925: Line 1,090:
|}
|}


== Module and template sandbox==
==Module and template sandbox==


===Mos ancestors and descendants===
===Mos ancestors and descendants===

Revision as of 23:27, 8 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 (version 2)

Scale degrees of 5L 2s (Note names and JI ratios column are optional)
Scale degree On C Basic 5L 2s

(12edo, L:s = 2:1)

Approx. JI ratios
Steps Cents
Perfect 0-diadegree C 0 0 1/1
Minor 1-diadegree Db 1 100
Major 1-diadegree D 2 200
Minor 2-diadegree Eb 3 300
Major 2-diadegree E 4 400
Perfect 3-diadegree F 5 500 4/3
Augmented 3-diadegree F# 6 600
Diminished 4-diadegree Gb 6 600
Perfect 4-diadegree G 7 700 3/2
Minor 5-diadegree Ab 8 800
Major 5-diadegree A 9 900
Minor 6-diadegree Bb 10 1000
Major 6-diadegree B 11 1100
Perfect 7-diadegrPerfect 0-mosdegree (unison)ee C 12 1200 2/1
Scale degrees of 5L 2s (main columns only)
Scale degree Basic 5L 2s

(12edo, L:s = 2:1)

Steps Cents
Perfect 0-diadegree 0 0
Minor 1-diadegree 1 100
Major 1-diadegree 2 200
Minor 2-diadegree 3 300
Major 2-diadegree 4 400
Perfect 3-diadegree 5 500
Augmented 3-diadegree 6 600
Diminished 4-diadegree 6 600
Perfect 4-diadegree 7 700
Minor 5-diadegree 8 800
Major 5-diadegree 9 900
Minor 6-diadegree 10 1000
Major 6-diadegree 11 1100
Perfect 7-diadegrPerfect 0-mosdegree (unison)ee 12 1200

Step sizes template

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.

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.

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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