User:Ganaram inukshuk/Sandbox/Modmosses: Difference between revisions

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{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=LsLLLLs}}
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=LsLLLLs}}


{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=sLLLLLs|Mode Names=Neapolitan major; Lydian augmented #6; Lydian augmented dominant; Lydian dominant b6, Lydian minor; Major locrian; Half-diminished b4; Altered dominant bb3}}
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=sLLLLLs}}


{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=sLLLsAs|Mode Names=Neapolitan minor; Lydian #6; Mixolydian augmented; Aeolian #4; Locrian dominant; Ionian #2; Altered diminished bb3}}
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=sLLLsAs}}
Modes whose attested names don't match the given UDP:
Modes whose attested names don't match the given UDP:


Line 59: Line 59:
* sLLLSAs: Neapolitan minor; closest true-mos mode is phrygian.
* sLLLSAs: Neapolitan minor; closest true-mos mode is phrygian.
* LLssLLL: Major locrian; closest true-mos mode is mixolydian.
* LLssLLL: Major locrian; closest true-mos mode is mixolydian.
'''Default names chosen for 5L 2s modmosses'''
{| class="wikitable"
! colspan="8" |Modes of harmonic minor
|-
!Step pattern
!Common or attested names
!Brightest mode as tiebreaker
!Darkest mode as tiebreaker
!Same UDP?
!Which is closer?
!Alternative or unambiguous name(s)
!Default names chosen
|-
|LsLLsAs
|Harmonic minor
|<nowiki>2|4 M6md</nowiki>
|<nowiki>2|4 M6md</nowiki>
|Yes
|Tied
|Aeolian ♮7
|Aeolian ♮7 (Harmonic minor)
|-
|sLLsAsL
|Locrian ♮6
|<nowiki>0|6 M5md</nowiki>
|<nowiki>0|6 M5md</nowiki>
|Yes
|Tied
|
|Locrian ♮6
|-
|LLsAsLs
|Ionian augmented
|<nowiki>5|1 A4md</nowiki>
|<nowiki>5|1 A4md</nowiki>
|Yes
|Tied
|Ionian #5
|Ionian #5 (Ionian augmented)
|-
|LsAsLsL
|Dorian #4
|<nowiki>3|3 A3md</nowiki>
|<nowiki>3|3 A3md</nowiki>
|Yes
|Tied
|
|Dorian #4
|-
|sAsLsLL
|Phrygian dominant
|<nowiki>1|5 M2md</nowiki>
|<nowiki>1|5 M2md</nowiki>
|Yes
|Tied
|Phrygian #3
|Phrygian #3 (Phrygian dominant)
|-
|AsLsLLs
|Lydian #2
|<nowiki>6|0 A1md</nowiki>
|<nowiki>6|0 A1md</nowiki>
|Yes
|Tied
|
|Lydian #2
|-
|sLsLLsA
|Altered diminished
|<nowiki>0|6 d3md d6md</nowiki>
|<nowiki>0|6 d3md d6md</nowiki>
|Yes
|Tied
|
|Locrian b4 bb7 (Altered  diminished)
|-
! colspan="8" |Modes of harmonic major
|-
!Step pattern
!Common or attested names
!Brightest mode as tiebreaker
!Darkest mode as tiebreaker
!Same UDP?
!Which is closer?
!Alternative or unambiguous name(s)
!Default names chosen
|-
|LLsLsAs
|Harmonic major
|<nowiki>5|1 m5md</nowiki>
|<nowiki>5|1 m5md</nowiki>
|Yes
|Tied
|
|Ionian b6 (Harmonic major)
|-
|LsLsAsL
|Dorian b5
|<nowiki>3|3 d4md</nowiki>
|<nowiki>3|3 d4md</nowiki>
|Yes
|Tied
|
|Dorian b5
|-
|sLsAsLL
|Phrygian b4
|<nowiki>1|5 d3md</nowiki>
|<nowiki>1|5 d3md</nowiki>
|Yes
|Tied
|
|Phrygian b4
|-
|LsAsLLs
|Lydian b3
|<nowiki>6|0 m2md</nowiki>
|<nowiki>6|0 m2md</nowiki>
|Yes
|Tied
|
|Lydian b3
|-
|sAsLLsL
|Mixolydian b2
|<nowiki>4|2 m1md</nowiki>
|<nowiki>4|2 m1md</nowiki>
|Yes
|Tied
|
|Mixolydian b2
|-
|AsLLsLs
|Lydian augmented #2
|<nowiki>6|0 A1md A4md</nowiki>
|<nowiki>6|0 A1md A4md</nowiki>
|Yes
|Tied
|Lydian #2 #5
|Lydian #2 #5 (Lydian augmented #2)
|-
|sLLsLsA
|Locrian bb7
|<nowiki>0|6 d6md</nowiki>
|<nowiki>0|6 d6md</nowiki>
|Yes
|Tied
|
|Locrian bb7
|-
! colspan="8" |Modes of harmonic minor
|-
!Step pattern
!Common or attested names
!Brightest mode as tiebreaker
!Darkest mode as tiebreaker
!Same UDP?
!Which is closer?
!Alternative or unambiguous name(s)
!Default names chosen
|-
|LsLLLLs
|Melodic minor
|<nowiki>5|1 m2md</nowiki>
|<nowiki>3|3 M6md</nowiki>
|No
|Tied
|
|Ionian b3 (Melodic minor)
|-
|sLLLLsL
|Dorian b2
|<nowiki>3|3 m1md</nowiki>
|<nowiki>1|5 M5md</nowiki>
|No
|Brightest-match
|
|Dorian b2
|-
|LLLLsLs
|Lydian augmented
|<nowiki>6|0 A4md</nowiki>
|<nowiki>6|0 A4md</nowiki>
|Yes
|Tied
|Lydian #5
|Lydian #5 (Lydian augmented)
|-
|LLLsLsL
|Lydian dominant
|<nowiki>6|0 m6md</nowiki>
|<nowiki>4|2 A3md</nowiki>
|No
|Brightest-match
|Lydian b7
|Lydian b7 (Lydian dominant)
|-
|LLsLsLL
|Mixolydian b6
|<nowiki>4|2 m5md</nowiki>
|<nowiki>2|4 M2md</nowiki>
|No
|Brightest-match
|
|Mixolydian b6
|-
|LsLsLLL
|Locrian ♮2
|<nowiki>2|4 d4md</nowiki>
|<nowiki>0|6 M1md</nowiki>
|No
|Darkest-match
|Aeolian b5, Locrian ♮2
|Aeolian b5 (Half-diminished)
|-
|sLsLLLL
|Altered
|<nowiki>0|6 d3md</nowiki>
|<nowiki>0|6 d3md</nowiki>
|Yes
|Brightest-match
|Locrian b4
|Locrian b4 (Altered)
|-
! colspan="8" |Modes of Neapolitan major
|-
!Step pattern
!Common or attested names
!Brightest mode as tiebreaker
!Darkest mode as tiebreaker
!Same UDP?
!Which is closer?
!Alternative or unambiguous name(s)
!Default names chosen
|-
|sLLLLLs
|Neapolitan major
|<nowiki>5|1 m1md m2md</nowiki>
|<nowiki>1|5 M5md M6md</nowiki>
|No
|Brightest-match
|Ionian b2 b3, Phrygian ♮6 ♮7
|Ionian b2 b3 (Neapolitan major)
|-
|LLLLLss
|Lydian augmented #6
|<nowiki>6|0 A4md A5md</nowiki>
|<nowiki>6|0 A4md A5md</nowiki>
|Yes
|Tied
|Lydian #5 #6
|Lydian #5 #6 (Lydian augmented #6)
|-
|LLLLssL
|Lydian augmented dominant
|<nowiki>6|0 A4md m6md</nowiki>
|<nowiki>4|2 A3md A4md</nowiki>
|No
|Brightest-match
|Lydian #5 b7
|Lydian #5 b7 (Lydian augmented dominant)
|-
|LLLssLL
|Lydian dominant b6
|<nowiki>6|0 m5md m6md</nowiki>
|<nowiki>2|4 M2md A3md</nowiki>
|No
|Brightest-match
|Lydian b6 b7
|Lydian b6 b7 (Lydian minor)
|-
|LLssLLL
|Major locrian
|<nowiki>4|2 d4md m5md</nowiki>
|<nowiki>0|6 M1md M2md</nowiki>
|No
|Brightest-match
|Mixolydian b5 b6, Locrian ♮2 ♮3
|Mixolydian b5 b6 (Major Locrian)
|-
|LssLLLL
|Altered dominant #2
|<nowiki>2|4 d3md d4md</nowiki>
|<nowiki>0|6 M1md d3md</nowiki>
|No
|Darkest-match
|Aeolian b4 b5, Locrian ♮2 b4
|Aeolian b4 b5 (Altered dominant ♮2)
|-
|ssLLLLL
|Altered dominant bb3
|<nowiki>0|6 d2md d3md</nowiki>
|<nowiki>0|6 d2md d3md</nowiki>
|Yes
|Tied
|
|Locrian bb3 b4 (Altered dominant bb3)
|-
! colspan="8" |Modes of Neapolitan minor
|-
!Step pattern
!Common or attested names
!Brightest mode as tiebreaker
!Darkest mode as tiebreaker
!Same UDP?
!Which is closer?
!Alternative or unambiguous name(s)
!Default names chosen
|-
|sLLLsAs
|Neapolitan minor
|<nowiki>1|5 M6md</nowiki>
|<nowiki>1|5 M6md</nowiki>
|Yes
|Tied
|Phrygian ♮7
|Phrygian ♮7 (Neapolitan minor)
|-
|LLLsAss
|Lydian #6
|<nowiki>6|0 A5md</nowiki>
|<nowiki>6|0 A5md</nowiki>
|Yes
|Tied
|
|Lydian #6
|-
|LLsAssL
|Mixolydian augmented
|<nowiki>4|2 A4md</nowiki>
|<nowiki>4|2 A4md</nowiki>
|Yes
|Tied
|Mixolydian #5
|Mixolydian #5 (Mixolydian augmented)
|-
|LsAssLL
|Aeolian #4
|<nowiki>2|4 A3md</nowiki>
|<nowiki>2|4 A3md</nowiki>
|Yes
|Tied
|
|Aeolian #4
|-
|sAssLLL
|Locrian dominant
|<nowiki>0|6 M2md</nowiki>
|<nowiki>0|6 M2md</nowiki>
|Yes
|Tied
|Locrian ♮3
|Locrian ♮3 (Locrian dominant)
|-
|AssLLLs
|Ionian #2
|<nowiki>5|1 A1md</nowiki>
|<nowiki>5|1 A1md</nowiki>
|Yes
|Tied
|
|Ionian #2
|-
|ssLLLsA
|Altered diminished bb3
|<nowiki>0|6 d2md d3md d6md</nowiki>
|<nowiki>0|6 d2md d3md d6md</nowiki>
|Yes
|Tied
|Locrian bb3 b4 bb7
|Locrian bb3 b4 bb7 (Altered diminished bb3)
|}


== 6L 1s ==
== 6L 1s ==
{{MOS mode degrees|Scale Signature=6L 1s}}
{{MOS mode degrees|Scale Signature=6L 1s}}

Revision as of 21:20, 20 July 2024

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)
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
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.

Modes whose attested names don't match the given UDP:

  • LsLLLLs: Ionian b3 or melodic minor; non-issue since both names are valid.
  • sLLLSAs: Neapolitan minor; closest true-mos mode is phrygian.
  • LLssLLL: Major locrian; closest true-mos mode is mixolydian.

Default names chosen for 5L 2s modmosses

Modes of harmonic minor
Step pattern Common or attested names Brightest mode as tiebreaker Darkest mode as tiebreaker Same UDP? Which is closer? Alternative or unambiguous name(s) Default names chosen
LsLLsAs Harmonic minor 2|4 M6md 2|4 M6md Yes Tied Aeolian ♮7 Aeolian ♮7 (Harmonic minor)
sLLsAsL Locrian ♮6 0|6 M5md 0|6 M5md Yes Tied Locrian ♮6
LLsAsLs Ionian augmented 5|1 A4md 5|1 A4md Yes Tied Ionian #5 Ionian #5 (Ionian augmented)
LsAsLsL Dorian #4 3|3 A3md 3|3 A3md Yes Tied Dorian #4
sAsLsLL Phrygian dominant 1|5 M2md 1|5 M2md Yes Tied Phrygian #3 Phrygian #3 (Phrygian dominant)
AsLsLLs Lydian #2 6|0 A1md 6|0 A1md Yes Tied Lydian #2
sLsLLsA Altered diminished 0|6 d3md d6md 0|6 d3md d6md Yes Tied Locrian b4 bb7 (Altered diminished)
Modes of harmonic major
Step pattern Common or attested names Brightest mode as tiebreaker Darkest mode as tiebreaker Same UDP? Which is closer? Alternative or unambiguous name(s) Default names chosen
LLsLsAs Harmonic major 5|1 m5md 5|1 m5md Yes Tied Ionian b6 (Harmonic major)
LsLsAsL Dorian b5 3|3 d4md 3|3 d4md Yes Tied Dorian b5
sLsAsLL Phrygian b4 1|5 d3md 1|5 d3md Yes Tied Phrygian b4
LsAsLLs Lydian b3 6|0 m2md 6|0 m2md Yes Tied Lydian b3
sAsLLsL Mixolydian b2 4|2 m1md 4|2 m1md Yes Tied Mixolydian b2
AsLLsLs Lydian augmented #2 6|0 A1md A4md 6|0 A1md A4md Yes Tied Lydian #2 #5 Lydian #2 #5 (Lydian augmented #2)
sLLsLsA Locrian bb7 0|6 d6md 0|6 d6md Yes Tied Locrian bb7
Modes of harmonic minor
Step pattern Common or attested names Brightest mode as tiebreaker Darkest mode as tiebreaker Same UDP? Which is closer? Alternative or unambiguous name(s) Default names chosen
LsLLLLs Melodic minor 5|1 m2md 3|3 M6md No Tied Ionian b3 (Melodic minor)
sLLLLsL Dorian b2 3|3 m1md 1|5 M5md No Brightest-match Dorian b2
LLLLsLs Lydian augmented 6|0 A4md 6|0 A4md Yes Tied Lydian #5 Lydian #5 (Lydian augmented)
LLLsLsL Lydian dominant 6|0 m6md 4|2 A3md No Brightest-match Lydian b7 Lydian b7 (Lydian dominant)
LLsLsLL Mixolydian b6 4|2 m5md 2|4 M2md No Brightest-match Mixolydian b6
LsLsLLL Locrian ♮2 2|4 d4md 0|6 M1md No Darkest-match Aeolian b5, Locrian ♮2 Aeolian b5 (Half-diminished)
sLsLLLL Altered 0|6 d3md 0|6 d3md Yes Brightest-match Locrian b4 Locrian b4 (Altered)
Modes of Neapolitan major
Step pattern Common or attested names Brightest mode as tiebreaker Darkest mode as tiebreaker Same UDP? Which is closer? Alternative or unambiguous name(s) Default names chosen
sLLLLLs Neapolitan major 5|1 m1md m2md 1|5 M5md M6md No Brightest-match Ionian b2 b3, Phrygian ♮6 ♮7 Ionian b2 b3 (Neapolitan major)
LLLLLss Lydian augmented #6 6|0 A4md A5md 6|0 A4md A5md Yes Tied Lydian #5 #6 Lydian #5 #6 (Lydian augmented #6)
LLLLssL Lydian augmented dominant 6|0 A4md m6md 4|2 A3md A4md No Brightest-match Lydian #5 b7 Lydian #5 b7 (Lydian augmented dominant)
LLLssLL Lydian dominant b6 6|0 m5md m6md 2|4 M2md A3md No Brightest-match Lydian b6 b7 Lydian b6 b7 (Lydian minor)
LLssLLL Major locrian 4|2 d4md m5md 0|6 M1md M2md No Brightest-match Mixolydian b5 b6, Locrian ♮2 ♮3 Mixolydian b5 b6 (Major Locrian)
LssLLLL Altered dominant #2 2|4 d3md d4md 0|6 M1md d3md No Darkest-match Aeolian b4 b5, Locrian ♮2 b4 Aeolian b4 b5 (Altered dominant ♮2)
ssLLLLL Altered dominant bb3 0|6 d2md d3md 0|6 d2md d3md Yes Tied Locrian bb3 b4 (Altered dominant bb3)
Modes of Neapolitan minor
Step pattern Common or attested names Brightest mode as tiebreaker Darkest mode as tiebreaker Same UDP? Which is closer? Alternative or unambiguous name(s) Default names chosen
sLLLsAs Neapolitan minor 1|5 M6md 1|5 M6md Yes Tied Phrygian ♮7 Phrygian ♮7 (Neapolitan minor)
LLLsAss Lydian #6 6|0 A5md 6|0 A5md Yes Tied Lydian #6
LLsAssL Mixolydian augmented 4|2 A4md 4|2 A4md Yes Tied Mixolydian #5 Mixolydian #5 (Mixolydian augmented)
LsAssLL Aeolian #4 2|4 A3md 2|4 A3md Yes Tied Aeolian #4
sAssLLL Locrian dominant 0|6 M2md 0|6 M2md Yes Tied Locrian ♮3 Locrian ♮3 (Locrian dominant)
AssLLLs Ionian #2 5|1 A1md 5|1 A1md Yes Tied Ionian #2
ssLLLsA Altered diminished bb3 0|6 d2md d3md d6md 0|6 d2md d3md d6md Yes Tied Locrian bb3 b4 bb7 Locrian bb3 b4 bb7 (Altered diminished bb3)

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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