User:Ganaram inukshuk/Sandbox: Difference between revisions
→Interval and degree tables: Test with merged cells and sorting |
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== 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. | |||
{| class="wikitable sortable" style="text-align: left;" | {| class="wikitable sortable" style="text-align: left;" | ||
|+<!-- caption -->Intervals of 2L 5s | |+<!-- caption -->Intervals of 2L 5s for each mode | ||
|- | |- | ||
! Mode | ! 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"| | | 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"| | | 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"| | | 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"| | | 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"| | | 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"| | | 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"| | | sssLssL || 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 | |+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 | ||
| Line 56: | Line 57: | ||
| 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. | |||
{| class="wikitable sortable" style="text-align: left;" | {| class="wikitable sortable" style="text-align: left;" | ||
|+ | |+Intervals of 2L 5s for each mode (with mode names) | ||
|- | |- | ||
! Mode !! UDP !! align="right" | Rotational order !! | ! Mode | ||
!Mode name!! 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 || | | 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 | |||
|- | |- | ||
| LsssLss || 5<nowiki>|</nowiki>1 || align="right" | 3 || | | 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 | |||
|- | |- | ||
| sLssLss || 4<nowiki>|</nowiki>2 || align="right" | 6 || | | 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 | |||
|- | |- | ||
| sLsssLs || 3<nowiki>|</nowiki>3 || align="right" | 2 || | | 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 | |||
|- | |- | ||
| ssLssLs || 2<nowiki>|</nowiki>4 || align="right" | 5 || | | ssLssLs | ||
|antimixolydian|| 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 || | | 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 | |||
|- | |- | ||
| sssLssL || 0<nowiki>|</nowiki>6 || align="right" | 4 || diminished || perfect | | sssLssL | ||
|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;" | |||
|+Degrees of 2L 5s for each mode (with mode names) | |||
|- | |||
! Mode | |||
!Mode name!! UDP !! align="right" | Rotational order !! 0-mosdegree !! 1-mosdegree !! 2-mosdegree !! 3-mosdegree !! 4-mosdegree !! 5-mosdegree !! 6-mosdegree !! 7-mosdegree | |||
|- | |||
| LssLsss | |||
|antilocrian|| 6<nowiki>|</nowiki>0 || align="right" | 0 || perfect || major || major || perfect || augmented || major || major || perfect | |||
|- | |||
| LsssLss | |||
|antiphrygian|| 5<nowiki>|</nowiki>1 || align="right" | 3 | |||
|perfect | |||
|major | |||
|major | |||
|perfect|| perfect | |||
|major | |||
|major|| perfect | |||
|- | |||
| sLssLss | |||
|anti-aeolian|| 4<nowiki>|</nowiki>2 || align="right" | 6 | |||
|perfect|| minor | |||
|major | |||
|perfect | |||
|perfect | |||
|major | |||
|major|| perfect | |||
|- | |||
| sLsssLs | |||
|antidorian|| 3<nowiki>|</nowiki>3 || align="right" | 2 | |||
|perfect | |||
|minor | |||
|major | |||
|perfect | |||
|perfect|| minor | |||
|major|| perfect | |||
|- | |||
| ssLssLs | |||
|antimixolydian|| 2<nowiki>|</nowiki>4 || align="right" | 5 | |||
|perfect | |||
|minor|| minor | |||
|perfect | |||
|perfect | |||
|minor | |||
|major|| perfect | |||
|- | |||
| ssLsssL | |||
|anti-ionian|| 1<nowiki>|</nowiki>5 || align="right" | 1 | |||
|perfect | |||
|minor | |||
|minor | |||
|perfect | |||
|perfect | |||
|minor|| minor || perfect | |||
|- | |||
| sssLssL | |||
|antilydian|| 0<nowiki>|</nowiki>6 || align="right" | 4 | |||
|perfect | |||
|minor | |||
|minor|| diminished | |||
|perfect | |||
|minor | |||
|minor|| perfect | |||
|} | |} | ||