User:Ganaram inukshuk/Sandbox/Modmosses

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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.

Step types
Step Size Value Comments
A Augmented step 2L - s Large step plus a chroma.
L Large step L Large step size.
s Small step s Small step size. If used in conjunction with diminished steps, a capital S can be used instead, to main lexicographic ordering.
c Chroma L - s The difference between a large and small step.

Cannot be used as a step size in the template, but is used to change the size of other steps.

d Diminished step L - 2s Small step minus a chroma.

1L 6s

Scale degrees of the modes of 1L 6s 
UDP Cyclic
order		 Step
pattern		 Scale degree (ondegree)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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

Modmos properties

5L 2s modmosses
Step pattern Common name Brightest mode Darkest mode Is chiral? (Reverses to what modmos?)
LsLLsAs Harmonic minor AsLsLLs sLsLLsA Yes (Harmonic major)
LLsLsAs Harmonic major AsLLsLs sLLsLsA Yes (Harmonic minor)
LsLLLLs Melodic minor LLLLsLs sLsLLLL No (reverses to itself)
sLLLLLs Neapolitan major LLLLLss ssLLLLL No (reverses to itself)
sLLLsAs Neapolitan minor LLLsAss ssLLLsA Yes (AsLLLss, ssAsLLL)
sAsLsAs Double harmonic AsLsAss ssAsLsA No (reverses to itself)
Scale degrees of the modes of 5L 2s (AssLAss) 
UDP and
alterations		 Cyclic
order		 Step
pattern		 Scale degree (diadegree)
0 1 2 3 4 5 6 7
5|1 A1md A5md 1 AssLAss Perf. Aug. Maj. Perf. Perf. Aug. Maj. Perf.
1|5 d2md d3md d6md 2 ssLAssA Perf. Min. Dim. Dim. Perf. Min. Dim. Perf.
1|5 A3md M6md 3 sLAssAs Perf. Min. Min. Aug. Perf. Min. Maj. Perf.
6|0 A2md A5md 4 LAssAss Perf. Maj. Aug. Aug. Perf. Aug. Maj. Perf.
4|2 A1md A4md 5 AssAssL Perf. Aug. Maj. Perf. Aug. Maj. Min. Perf.
0|6 d2md d5md d6md 6 ssAssLA Perf. Min. Dim. Perf. Dim. Dim. Dim. Perf.
0|6 M2md M6md 7 sAssLAs Perf. Min. Maj. Perf. Dim. Min. Maj. Perf.
Scale degrees of the modes of 5L 2s (LsLLsAs) 
UDP and
alterations		 Cyclic
order		 Step
pattern		 Scale degree (diadegree)
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)
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)
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)
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)
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.
Scale degrees of the modes of 5L 2s (sAsLsAs) 
UDP and
alterations		 Cyclic
order		 Step
pattern		 Scale degree (diadegree)
0 1 2 3 4 5 6 7
5|1 m1md m5md
1|5 M2md M6md		 1 sAsLsAs Perf. Min. Maj. Perf. Perf. Min. Maj. Perf.
6|0 A1md A5md 2 AsLsAss Perf. Aug. Maj. Aug. Perf. Aug. Maj. Perf.
1|5 d3md d6md 3 sLsAssA Perf. Min. Min. Dim. Perf. Min. Dim. Perf.
6|0 m2md m5md
2|4 A3md M6md		 4 LsAssAs Perf. Maj. Min. Aug. Perf. Min. Maj. Perf.
4|2 m1md d4md
0|6 M2md M5md		 5 sAssAsL Perf. Min. Maj. Perf. Dim. Maj. Min. Perf.
5|1 A1md A4md 6 AssAsLs Perf. Aug. Maj. Perf. Aug. Maj. Maj. Perf.
0|6 d2md d6md 7 ssAsLsA Perf. Min. Dim. Perf. 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. In most cases, the brightest closest mode is either closest or exact.

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

6L 1s

Scale degrees of the modes of 6L 1s 
UDP Cyclic
order		 Step
pattern		 Scale degree (archdegree)
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.
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