User:Ganaram inukshuk/Sandbox/Modmosses

This page is a testing area for the following function from Module:TAMNAMS:

function p.mode_udp(input_mode, input_mos, mos_abbrev)

The function works as follows: given an arbitrary input_mode for an input_mos, find the closest true-mos mode and list the altered scale degrees (alterations) needed to produce that mode. The closest true-mos mode is the mode that requires the fewest alterations to produce the input_mode. If more than one true-mos modes satisfy this condition, then the brightest of those modes is chosen to break the tie.

What's being tested is whether there are any cases in which the tiebreaker of using the brightest mode is not ideal. One notable example of this is melodic minor (step pattern LsLLLLs). This mode is aeolian natural-6 natural-7, but also ionian b3. This is considered a non-issue since ionian b3 is considered an alternate name for melodic minor.

Modmosses shown here are chosen for testing purposes and may not correspond to actual scales used in practice.

1L 6s

Scale degrees of the modes of 1L 6s
UDP	Cyclic order	Step pattern	Scale degree (ondegree)
UDP	Cyclic order	Step pattern	0	1	2	3	4	5	6	7
6\|0	1	Lssssss	Perf.	Aug.	Maj.	Maj.	Maj.	Maj.	Perf.	Perf.
5\|1	7	sLsssss	Perf.	Perf.	Maj.	Maj.	Maj.	Maj.	Perf.	Perf.
4\|2	6	ssLssss	Perf.	Perf.	Min.	Maj.	Maj.	Maj.	Perf.	Perf.
3\|3	5	sssLsss	Perf.	Perf.	Min.	Min.	Maj.	Maj.	Perf.	Perf.
2\|4	4	ssssLss	Perf.	Perf.	Min.	Min.	Min.	Maj.	Perf.	Perf.
1\|5	3	sssssLs	Perf.	Perf.	Min.	Min.	Min.	Min.	Perf.	Perf.
0\|6	2	ssssssL	Perf.	Perf.	Min.	Min.	Min.	Min.	Dim.	Perf.

Modmosses chosen:

LssssLd - Lssssss, but with a raised 6-degree.

Scale degrees of the modes of 1L 6s (LssssLd)
UDP and alterations	Cyclic order	Step pattern	Scale degree (ondegree)
UDP and alterations	Cyclic order	Step pattern	0	1	2	3	4	5	6	7
6\|0 A6md	1	LssssLd	Perf.	Aug.	Maj.	Maj.	Maj.	Maj.	Aug.	Perf.
2\|4 d6md 0\|6 M5md	2	ssssLdL	Perf.	Perf.	Min.	Min.	Min.	Maj.	Dim.	Perf.
3\|3 m5md 1\|5 M4md	3	sssLdLs	Perf.	Perf.	Min.	Min.	Maj.	Min.	Perf.	Perf.
4\|2 m4md 2\|4 M3md	4	ssLdLss	Perf.	Perf.	Min.	Maj.	Min.	Maj.	Perf.	Perf.
5\|1 m3md 3\|3 M2md	5	sLdLsss	Perf.	Perf.	Maj.	Min.	Maj.	Maj.	Perf.	Perf.
6\|0 m2md 4\|2 A1md	6	LdLssss	Perf.	Aug.	Min.	Maj.	Maj.	Maj.	Perf.	Perf.
0\|6 d1md	7	dLssssL	Perf.	Dim.	Min.	Min.	Min.	Min.	Dim.	Perf.

2L 5s

Scale degrees of the modes of 2L 5s
UDP	Cyclic order	Step pattern	Scale degree (peldegree)
UDP	Cyclic order	Step pattern	0	1	2	3	4	5	6	7
6\|0	1	LssLsss	Perf.	Maj.	Maj.	Perf.	Aug.	Maj.	Maj.	Perf.
5\|1	4	LsssLss	Perf.	Maj.	Maj.	Perf.	Perf.	Maj.	Maj.	Perf.
4\|2	7	sLssLss	Perf.	Min.	Maj.	Perf.	Perf.	Maj.	Maj.	Perf.
3\|3	3	sLsssLs	Perf.	Min.	Maj.	Perf.	Perf.	Min.	Maj.	Perf.
2\|4	6	ssLssLs	Perf.	Min.	Min.	Perf.	Perf.	Min.	Maj.	Perf.
1\|5	2	ssLsssL	Perf.	Min.	Min.	Perf.	Perf.	Min.	Min.	Perf.
0\|6	5	sssLssL	Perf.	Min.	Min.	Dim.	Perf.	Min.	Min.	Perf.

Modmosses chosen

sLssLdL - The "sister" of LsLLsAs, a modmos of 5L 2s.
ssLsLdL - The "sister" of LLsLsAs, a modmos of 5L 2s.
sLssssL - The "sister" of LsLLLLs, a modmos of 5L 2s.

Scale degrees of the modes of 2L 5s (sLssLdL)
UDP and alterations	Cyclic order	Step pattern	Scale degree (peldegree)
UDP and alterations	Cyclic order	Step pattern	0	1	2	3	4	5	6	7
4\|2 m6md	1	sLssLdL	Perf.	Min.	Maj.	Perf.	Perf.	Maj.	Min.	Perf.
6\|0 m5md	2	LssLdLs	Perf.	Maj.	Maj.	Perf.	Aug.	Min.	Maj.	Perf.
1\|5 d4md	3	ssLdLsL	Perf.	Min.	Min.	Perf.	Dim.	Min.	Min.	Perf.
3\|3 d3md	4	sLdLsLs	Perf.	Min.	Maj.	Dim.	Perf.	Min.	Maj.	Perf.
5\|1 m2md	5	LdLsLss	Perf.	Maj.	Min.	Perf.	Perf.	Maj.	Maj.	Perf.
0\|6 d1md	6	dLsLssL	Perf.	Dim.	Min.	Dim.	Perf.	Min.	Min.	Perf.
6\|0 A3md A6md	7	LsLssLd	Perf.	Maj.	Maj.	Aug.	Aug.	Maj.	Aug.	Perf.

Scale degrees of the modes of 2L 5s (ssLsLdL)
UDP and alterations	Cyclic order	Step pattern	Scale degree (peldegree)
UDP and alterations	Cyclic order	Step pattern	0	1	2	3	4	5	6	7
1\|5 M5md	1	ssLsLdL	Perf.	Min.	Min.	Perf.	Perf.	Maj.	Min.	Perf.
3\|3 A4md	2	sLsLdLs	Perf.	Min.	Maj.	Perf.	Aug.	Min.	Maj.	Perf.
5\|1 A3md	3	LsLdLss	Perf.	Maj.	Maj.	Aug.	Perf.	Maj.	Maj.	Perf.
0\|6 M2md	4	sLdLssL	Perf.	Min.	Maj.	Dim.	Perf.	Min.	Min.	Perf.
2\|4 M1md	5	LdLssLs	Perf.	Maj.	Min.	Perf.	Perf.	Min.	Maj.	Perf.
0\|6 d1md d4md	6	dLssLsL	Perf.	Dim.	Min.	Dim.	Dim.	Min.	Min.	Perf.
6\|0 A6md	7	LssLsLd	Perf.	Maj.	Maj.	Perf.	Aug.	Maj.	Aug.	Perf.

Scale degrees of the modes of 2L 5s (sLssssL)
UDP and alterations	Cyclic order	Step pattern	Scale degree (peldegree)
UDP and alterations	Cyclic order	Step pattern	0	1	2	3	4	5	6	7
3\|3 m6md 1\|5 M2md	1	sLssssL	Perf.	Min.	Maj.	Perf.	Perf.	Min.	Min.	Perf.
5\|1 m5md 3\|3 M1md	2	LssssLs	Perf.	Maj.	Maj.	Perf.	Perf.	Min.	Maj.	Perf.
0\|6 d4md	3	ssssLsL	Perf.	Min.	Min.	Dim.	Dim.	Min.	Min.	Perf.
2\|4 d3md 0\|6 M6md	4	sssLsLs	Perf.	Min.	Min.	Dim.	Perf.	Min.	Maj.	Perf.
4\|2 m2md 2\|4 M5md	5	ssLsLss	Perf.	Min.	Min.	Perf.	Perf.	Maj.	Maj.	Perf.
6\|0 m1md 4\|2 A4md	6	sLsLsss	Perf.	Min.	Maj.	Perf.	Aug.	Maj.	Maj.	Perf.
6\|0 A3md	7	LsLssss	Perf.	Maj.	Maj.	Aug.	Aug.	Maj.	Maj.	Perf.

3L 4s

Scale degrees of the modes of 3L 4s
UDP	Cyclic order	Step pattern	Scale degree (moshdegree)
UDP	Cyclic order	Step pattern	0	1	2	3	4	5	6	7
6\|0	1	LsLsLss	Perf.	Maj.	Perf.	Maj.	Maj.	Aug.	Maj.	Perf.
5\|1	3	LsLssLs	Perf.	Maj.	Perf.	Maj.	Maj.	Perf.	Maj.	Perf.
4\|2	5	LssLsLs	Perf.	Maj.	Perf.	Min.	Maj.	Perf.	Maj.	Perf.
3\|3	7	sLsLsLs	Perf.	Min.	Perf.	Min.	Maj.	Perf.	Maj.	Perf.
2\|4	2	sLsLssL	Perf.	Min.	Perf.	Min.	Maj.	Perf.	Min.	Perf.
1\|5	4	sLssLsL	Perf.	Min.	Perf.	Min.	Min.	Perf.	Min.	Perf.
0\|6	6	ssLsLsL	Perf.	Min.	Dim.	Min.	Min.	Perf.	Min.	Perf.

4L 3s

Scale degrees of the modes of 4L 3s
UDP	Cyclic order	Step pattern	Scale degree (smidegree)
UDP	Cyclic order	Step pattern	0	1	2	3	4	5	6	7
6\|0	1	LLsLsLs	Perf.	Maj.	Aug.	Maj.	Maj.	Perf.	Maj.	Perf.
5\|1	6	LsLLsLs	Perf.	Maj.	Perf.	Maj.	Maj.	Perf.	Maj.	Perf.
4\|2	4	LsLsLLs	Perf.	Maj.	Perf.	Maj.	Min.	Perf.	Maj.	Perf.
3\|3	2	LsLsLsL	Perf.	Maj.	Perf.	Maj.	Min.	Perf.	Min.	Perf.
2\|4	7	sLLsLsL	Perf.	Min.	Perf.	Maj.	Min.	Perf.	Min.	Perf.
1\|5	5	sLsLLsL	Perf.	Min.	Perf.	Min.	Min.	Perf.	Min.	Perf.
0\|6	3	sLsLsLL	Perf.	Min.	Perf.	Min.	Min.	Dim.	Min.	Perf.

Modmosses chosen:

LLssLsL - LsLsLsL, but with the 2nd and 3rd steps rearranged to produce an augmented 2-step.
LLssLLs - LsLsLLs, but with the 2nd and 3rd steps rearranged to produce an augmented 2-step.

Scale degrees of the modes of 4L 3s (LLssLsL)
UDP and alterations	Cyclic order	Step pattern	Scale degree (smidegree)
UDP and alterations	Cyclic order	Step pattern	0	1	2	3	4	5	6	7
3\|3 A2md	1	LLssLsL	Perf.	Maj.	Aug.	Maj.	Min.	Perf.	Min.	Perf.
0\|6 M1md	2	LssLsLL	Perf.	Maj.	Perf.	Min.	Min.	Dim.	Min.	Perf.
0\|6 d2md d4md	3	ssLsLLL	Perf.	Min.	Dim.	Min.	Dim.	Dim.	Min.	Perf.
1\|5 M6md	4	sLsLLLs	Perf.	Min.	Perf.	Min.	Min.	Perf.	Maj.	Perf.
5\|1 A5md	5	LsLLLss	Perf.	Maj.	Perf.	Maj.	Maj.	Aug.	Maj.	Perf.
2\|4 M4md	6	sLLLssL	Perf.	Min.	Perf.	Maj.	Maj.	Perf.	Min.	Perf.
6\|0 A3md	7	LLLssLs	Perf.	Maj.	Aug.	Aug.	Maj.	Perf.	Maj.	Perf.

Scale degrees of the modes of 4L 3s (LLssLLs)
UDP and alterations	Cyclic order	Step pattern	Scale degree (smidegree)
UDP and alterations	Cyclic order	Step pattern	0	1	2	3	4	5	6	7
6\|0 m4md 4\|2 A2md	1	LLssLLs	Perf.	Maj.	Aug.	Maj.	Min.	Perf.	Maj.	Perf.
3\|3 m3md 1\|5 M1md	2	LssLLsL	Perf.	Maj.	Perf.	Min.	Min.	Perf.	Min.	Perf.
0\|6 d2md	3	ssLLsLL	Perf.	Min.	Dim.	Min.	Min.	Dim.	Min.	Perf.
4\|2 m1md 2\|4 M6md	4	sLLsLLs	Perf.	Min.	Perf.	Maj.	Min.	Perf.	Maj.	Perf.
6\|0 A5md	5	LLsLLss	Perf.	Maj.	Aug.	Maj.	Maj.	Aug.	Maj.	Perf.
5\|1 m6md 3\|3 M4md	6	LsLLssL	Perf.	Maj.	Perf.	Maj.	Maj.	Perf.	Min.	Perf.
2\|4 d5md 0\|6 M3md	7	sLLssLL	Perf.	Min.	Perf.	Maj.	Min.	Dim.	Min.	Perf.

5L 2s

Scale degrees of the modes of 5L 2s
UDP	Cyclic order	Step pattern	Scale degree (diadegree)
UDP	Cyclic order	Step pattern	0	1	2	3	4	5	6	7
6\|0	1	LLLsLLs	Perf.	Maj.	Maj.	Aug.	Perf.	Maj.	Maj.	Perf.
5\|1	5	LLsLLLs	Perf.	Maj.	Maj.	Perf.	Perf.	Maj.	Maj.	Perf.
4\|2	2	LLsLLsL	Perf.	Maj.	Maj.	Perf.	Perf.	Maj.	Min.	Perf.
3\|3	6	LsLLLsL	Perf.	Maj.	Min.	Perf.	Perf.	Maj.	Min.	Perf.
2\|4	3	LsLLsLL	Perf.	Maj.	Min.	Perf.	Perf.	Min.	Min.	Perf.
1\|5	7	sLLLsLL	Perf.	Min.	Min.	Perf.	Perf.	Min.	Min.	Perf.
0\|6	4	sLLsLLL	Perf.	Min.	Min.	Perf.	Dim.	Min.	Min.	Perf.

Modmosses chosen

Harmonic minor (LsLLsAs); names provided by module
Harmonic major (LLsLsAs); names provided by module
Melodic minor or ionian b3 (LsLLLLs); names provided by module
Neapolitan major (sLLLLLs); attested names added for comparison
Neapolitan minor (sLLLsAs); attested names added for comparison

Scale degrees of the modes of 5L 2s (LsLLsAs)
UDP and alterations	Cyclic order	Step pattern	Scale degree (diadegree)
UDP and alterations	Cyclic order	Step pattern	0	1	2	3	4	5	6	7
2\|4 M6md	1	LsLLsAs	Perf.	Maj.	Min.	Perf.	Perf.	Min.	Maj.	Perf.
0\|6 M5md	2	sLLsAsL	Perf.	Min.	Min.	Perf.	Dim.	Maj.	Min.	Perf.
5\|1 A4md	3	LLsAsLs	Perf.	Maj.	Maj.	Perf.	Aug.	Maj.	Maj.	Perf.
3\|3 A3md	4	LsAsLsL	Perf.	Maj.	Min.	Aug.	Perf.	Maj.	Min.	Perf.
1\|5 M2md	5	sAsLsLL	Perf.	Min.	Maj.	Perf.	Perf.	Min.	Min.	Perf.
6\|0 A1md	6	AsLsLLs	Perf.	Aug.	Maj.	Aug.	Perf.	Maj.	Maj.	Perf.
0\|6 d3md d6md	7	sLsLLsA	Perf.	Min.	Min.	Dim.	Dim.	Min.	Dim.	Perf.

Scale degrees of the modes of 5L 2s (LLsLsAs)
UDP and alterations	Cyclic order	Step pattern	Scale degree (diadegree)
UDP and alterations	Cyclic order	Step pattern	0	1	2	3	4	5	6	7
5\|1 m5md	1	LLsLsAs	Perf.	Maj.	Maj.	Perf.	Perf.	Min.	Maj.	Perf.
3\|3 d4md	2	LsLsAsL	Perf.	Maj.	Min.	Perf.	Dim.	Maj.	Min.	Perf.
1\|5 d3md	3	sLsAsLL	Perf.	Min.	Min.	Dim.	Perf.	Min.	Min.	Perf.
6\|0 m2md	4	LsAsLLs	Perf.	Maj.	Min.	Aug.	Perf.	Maj.	Maj.	Perf.
4\|2 m1md	5	sAsLLsL	Perf.	Min.	Maj.	Perf.	Perf.	Maj.	Min.	Perf.
6\|0 A1md A4md	6	AsLLsLs	Perf.	Aug.	Maj.	Aug.	Aug.	Maj.	Maj.	Perf.
0\|6 d6md	7	sLLsLsA	Perf.	Min.	Min.	Perf.	Dim.	Min.	Dim.	Perf.

Scale degrees of the modes of 5L 2s (LsLLLLs)
UDP and alterations	Cyclic order	Step pattern	Scale degree (diadegree)
UDP and alterations	Cyclic order	Step pattern	0	1	2	3	4	5	6	7
5\|1 m2md 3\|3 M6md	1	LsLLLLs	Perf.	Maj.	Min.	Perf.	Perf.	Maj.	Maj.	Perf.
3\|3 m1md 1\|5 M5md	2	sLLLLsL	Perf.	Min.	Min.	Perf.	Perf.	Maj.	Min.	Perf.
6\|0 A4md	3	LLLLsLs	Perf.	Maj.	Maj.	Aug.	Aug.	Maj.	Maj.	Perf.
6\|0 m6md 4\|2 A3md	4	LLLsLsL	Perf.	Maj.	Maj.	Aug.	Perf.	Maj.	Min.	Perf.
4\|2 m5md 2\|4 M2md	5	LLsLsLL	Perf.	Maj.	Maj.	Perf.	Perf.	Min.	Min.	Perf.
2\|4 d4md 0\|6 M1md	6	LsLsLLL	Perf.	Maj.	Min.	Perf.	Dim.	Min.	Min.	Perf.
0\|6 d3md	7	sLsLLLL	Perf.	Min.	Min.	Dim.	Dim.	Min.	Min.	Perf.

Scale degrees of the modes of 5L 2s (sLLLLLs)
UDP and alterations	Cyclic order	Step pattern	Scale degree (diadegree)
UDP and alterations	Cyclic order	Step pattern	0	1	2	3	4	5	6	7
5\|1 m1md m2md 1\|5 M5md M6md	1	sLLLLLs	Perf.	Min.	Min.	Perf.	Perf.	Maj.	Maj.	Perf.
6\|0 A4md A5md	2	LLLLLss	Perf.	Maj.	Maj.	Aug.	Aug.	Aug.	Maj.	Perf.
6\|0 A4md m6md 4\|2 A3md A4md	3	LLLLssL	Perf.	Maj.	Maj.	Aug.	Aug.	Maj.	Min.	Perf.
6\|0 m5md m6md 2\|4 M2md A3md	4	LLLssLL	Perf.	Maj.	Maj.	Aug.	Perf.	Min.	Min.	Perf.
4\|2 d4md m5md 0\|6 M1md M2md	5	LLssLLL	Perf.	Maj.	Maj.	Perf.	Dim.	Min.	Min.	Perf.
2\|4 d3md d4md 0\|6 M1md d3md	6	LssLLLL	Perf.	Maj.	Min.	Dim.	Dim.	Min.	Min.	Perf.
0\|6 d2md d3md	7	ssLLLLL	Perf.	Min.	Dim.	Dim.	Dim.	Min.	Min.	Perf.

Scale degrees of the modes of 5L 2s (sLLLsAs)
UDP and alterations	Cyclic order	Step pattern	Scale degree (diadegree)
UDP and alterations	Cyclic order	Step pattern	0	1	2	3	4	5	6	7
1\|5 M6md	1	sLLLsAs	Perf.	Min.	Min.	Perf.	Perf.	Min.	Maj.	Perf.
6\|0 A5md	2	LLLsAss	Perf.	Maj.	Maj.	Aug.	Perf.	Aug.	Maj.	Perf.
4\|2 A4md	3	LLsAssL	Perf.	Maj.	Maj.	Perf.	Aug.	Maj.	Min.	Perf.
2\|4 A3md	4	LsAssLL	Perf.	Maj.	Min.	Aug.	Perf.	Min.	Min.	Perf.
0\|6 M2md	5	sAssLLL	Perf.	Min.	Maj.	Perf.	Dim.	Min.	Min.	Perf.
5\|1 A1md	6	AssLLLs	Perf.	Aug.	Maj.	Perf.	Perf.	Maj.	Maj.	Perf.
0\|6 d2md d3md d6md	7	ssLLLsA	Perf.	Min.	Dim.	Dim.	Dim.	Min.	Dim.	Perf.

Default names chosen for 5L 2s modmosses

The criteria for closeness is whichever reported UDP (ignoring alterations) matches the common name.

Modes of harmonic minor
Step pattern	Common name(s)	Brightest match	Darkest match	Which is closer?	Default names chosen
LsLLsAs	Harmonic minor	2\|4 M6md	2\|4 M6md	Tied	Aeolian ♮7 (Harmonic minor)
sLLsAsL	Locrian ♮6	0\|6 M5md	0\|6 M5md	Tied	Locrian ♮6
LLsAsLs	Ionian augmented	5\|1 A4md	5\|1 A4md	Tied	Ionian #5 (Ionian augmented)
LsAsLsL	Dorian #4	3\|3 A3md	3\|3 A3md	Tied	Dorian #4
sAsLsLL	Phrygian dominant	1\|5 M2md	1\|5 M2md	Tied	Phrygian #3 (Phrygian dominant)
AsLsLLs	Lydian #2	6\|0 A1md	6\|0 A1md	Tied	Lydian #2
sLsLLsA	Altered diminished	0\|6 d3md d6md	0\|6 d3md d6md	Tied	Locrian b4 bb7 (Altered diminished)
Modes of harmonic major
Step pattern	Common name(s)	Brightest match	Darkest match	Which is closer?	Default names chosen
LLsLsAs	Harmonic major	5\|1 m5md	5\|1 m5md	Tied	Ionian b6 (Harmonic major)
LsLsAsL	Dorian b5	3\|3 d4md	3\|3 d4md	Tied	Dorian b5
sLsAsLL	Phrygian b4	1\|5 d3md	1\|5 d3md	Tied	Phrygian b4
LsAsLLs	Lydian b3	6\|0 m2md	6\|0 m2md	Tied	Lydian b3
sAsLLsL	Mixolydian b2	4\|2 m1md	4\|2 m1md	Tied	Mixolydian b2
AsLLsLs	Lydian augmented #2	6\|0 A1md A4md	6\|0 A1md A4md	Tied	Lydian #2 #5 (Lydian augmented #2)
sLLsLsA	Locrian bb7	0\|6 d6md	0\|6 d6md	Tied	Locrian bb7
Modes of harmonic minor
Step pattern	Common name(s)	Brightest match	Darkest match	Which is closer?	Default names chosen
LsLLLLs	Melodic minor	5\|1 m2md	3\|3 M6md	Neither	Ionian b3 (Melodic minor)
sLLLLsL	Dorian b2	3\|3 m1md	1\|5 M5md	Brightest-match	Dorian b2
LLLLsLs	Lydian augmented	6\|0 A4md	6\|0 A4md	Tied	Lydian #5 (Lydian augmented)
LLLsLsL	Lydian dominant	6\|0 m6md	4\|2 A3md	Brightest-match	Lydian b7 (Lydian dominant)
LLsLsLL	Mixolydian b6	4\|2 m5md	2\|4 M2md	Brightest-match	Mixolydian b6
LsLsLLL	Locrian ♮2	2\|4 d4md	0\|6 M1md	Darkest-match	Aeolian b5 (Half-diminished)
sLsLLLL	Altered	0\|6 d3md	0\|6 d3md	Brightest-match	Locrian b4 (Altered)
Modes of Neapolitan minor
Step pattern	Common name(s)	Brightest match	Darkest match	Which is closer?	Default names chosen
sLLLsAs	Neapolitan minor	1\|5 M6md	1\|5 M6md	Tied	Phrygian ♮7 (Neapolitan minor)
LLLsAss	Lydian #6	6\|0 A5md	6\|0 A5md	Tied	Lydian #6
LLsAssL	Mixolydian augmented	4\|2 A4md	4\|2 A4md	Tied	Mixolydian #5 (Mixolydian augmented)
LsAssLL	Aeolian #4	2\|4 A3md	2\|4 A3md	Tied	Aeolian #4
sAssLLL	Locrian dominant	0\|6 M2md	0\|6 M2md	Tied	Locrian ♮3 (Locrian dominant)
AssLLLs	Ionian #2	5\|1 A1md	5\|1 A1md	Tied	Ionian #2
ssLLLsA	Altered diminished bb3	0\|6 d2md d3md d6md	0\|6 d2md d3md d6md	Tied	Locrian bb3 b4 bb7 (Altered diminished bb3)
Modes of Neapolitan major
Step pattern	Common name(s)	Brightest match	Darkest match	Which is closer?	Default names chosen
sLLLLLs	Neapolitan major	5\|1 m1md m2md	1\|5 M5md M6md	Brightest-match	Ionian b2 b3 (Neapolitan major)
LLLLLss	Lydian augmented #6	6\|0 A4md A5md	6\|0 A4md A5md	Tied	Lydian #5 #6 (Lydian augmented #6)
LLLLssL	Lydian augmented dominant	6\|0 A4md m6md	4\|2 A3md A4md	Brightest-match	Lydian #5 b7 (Lydian augmented dominant)
LLLssLL	Lydian dominant b6	6\|0 m5md m6md	2\|4 M2md A3md	Brightest-match	Lydian b6 b7 (Lydian minor)
LLssLLL	Major locrian	4\|2 d4md m5md	0\|6 M1md M2md	Brightest-match	Mixolydian b5 b6 (Major Locrian)
LssLLLL	Altered dominant #2	2\|4 d3md d4md	0\|6 M1md d3md	Darkest-match	Aeolian b4 b5 (Altered dominant ♮2)
ssLLLLL	Altered dominant bb3	0\|6 d2md d3md	0\|6 d2md d3md	Tied	Locrian bb3 b4 (Altered dominant bb3)

6L 1s

Scale degrees of the modes of 6L 1s
UDP	Cyclic order	Step pattern	Scale degree (archdegree)
UDP	Cyclic order	Step pattern	0	1	2	3	4	5	6	7
6\|0	1	LLLLLLs	Perf.	Perf.	Maj.	Maj.	Maj.	Maj.	Aug.	Perf.
5\|1	2	LLLLLsL	Perf.	Perf.	Maj.	Maj.	Maj.	Maj.	Perf.	Perf.
4\|2	3	LLLLsLL	Perf.	Perf.	Maj.	Maj.	Maj.	Min.	Perf.	Perf.
3\|3	4	LLLsLLL	Perf.	Perf.	Maj.	Maj.	Min.	Min.	Perf.	Perf.
2\|4	5	LLsLLLL	Perf.	Perf.	Maj.	Min.	Min.	Min.	Perf.	Perf.
1\|5	6	LsLLLLL	Perf.	Perf.	Min.	Min.	Min.	Min.	Perf.	Perf.
0\|6	7	sLLLLLL	Perf.	Dim.	Min.	Min.	Min.	Min.	Perf.	Perf.