User:Ganaram inukshuk/Sandbox

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

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