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

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Line 61: Line 61:
'''Default names chosen for 5L 2s modmosses'''
'''Default names chosen for 5L 2s modmosses'''
{| class="wikitable"
{| class="wikitable"
! colspan="8" |Modes of harmonic minor
! colspan="7" |Modes of harmonic minor
|-
|-
!Step pattern
!Step pattern
Line 67: Line 67:
!Brightest mode as tiebreaker
!Brightest mode as tiebreaker
!Darkest mode as tiebreaker
!Darkest mode as tiebreaker
!Same UDP?
!Which is closer?
!Which is closer?
!Alternative or unambiguous name(s)
!Alternative or unambiguous name(s)
Line 76: Line 75:
|<nowiki>2|4 M6md</nowiki>
|<nowiki>2|4 M6md</nowiki>
|<nowiki>2|4 M6md</nowiki>
|<nowiki>2|4 M6md</nowiki>
|Yes
|Tied
|Tied
|Aeolian ♮7
|Aeolian ♮7
Line 85: Line 83:
|<nowiki>0|6 M5md</nowiki>
|<nowiki>0|6 M5md</nowiki>
|<nowiki>0|6 M5md</nowiki>
|<nowiki>0|6 M5md</nowiki>
|Yes
|Tied
|Tied
|
|
Line 94: Line 91:
|<nowiki>5|1 A4md</nowiki>
|<nowiki>5|1 A4md</nowiki>
|<nowiki>5|1 A4md</nowiki>
|<nowiki>5|1 A4md</nowiki>
|Yes
|Tied
|Tied
|Ionian #5
|Ionian #5
Line 103: Line 99:
|<nowiki>3|3 A3md</nowiki>
|<nowiki>3|3 A3md</nowiki>
|<nowiki>3|3 A3md</nowiki>
|<nowiki>3|3 A3md</nowiki>
|Yes
|Tied
|Tied
|
|
Line 112: Line 107:
|<nowiki>1|5 M2md</nowiki>
|<nowiki>1|5 M2md</nowiki>
|<nowiki>1|5 M2md</nowiki>
|<nowiki>1|5 M2md</nowiki>
|Yes
|Tied
|Tied
|Phrygian #3
|Phrygian #3
Line 121: Line 115:
|<nowiki>6|0 A1md</nowiki>
|<nowiki>6|0 A1md</nowiki>
|<nowiki>6|0 A1md</nowiki>
|<nowiki>6|0 A1md</nowiki>
|Yes
|Tied
|Tied
|
|
Line 130: Line 123:
|<nowiki>0|6 d3md d6md</nowiki>
|<nowiki>0|6 d3md d6md</nowiki>
|<nowiki>0|6 d3md d6md</nowiki>
|<nowiki>0|6 d3md d6md</nowiki>
|Yes
|Tied
|Tied
|
|
|Locrian b4 bb7 (Altered  diminished)
|Locrian b4 bb7 (Altered  diminished)
|-
|-
! colspan="8" |Modes of harmonic major
! colspan="7" |Modes of harmonic major
|-
|-
!Step pattern
!Step pattern
Line 141: Line 133:
!Brightest mode as tiebreaker
!Brightest mode as tiebreaker
!Darkest mode as tiebreaker
!Darkest mode as tiebreaker
!Same UDP?
!Which is closer?
!Which is closer?
!Alternative or unambiguous name(s)
!Alternative or unambiguous name(s)
Line 150: Line 141:
|<nowiki>5|1 m5md</nowiki>
|<nowiki>5|1 m5md</nowiki>
|<nowiki>5|1 m5md</nowiki>
|<nowiki>5|1 m5md</nowiki>
|Yes
|Tied
|Tied
|
|
Line 159: Line 149:
|<nowiki>3|3 d4md</nowiki>
|<nowiki>3|3 d4md</nowiki>
|<nowiki>3|3 d4md</nowiki>
|<nowiki>3|3 d4md</nowiki>
|Yes
|Tied
|Tied
|
|
Line 168: Line 157:
|<nowiki>1|5 d3md</nowiki>
|<nowiki>1|5 d3md</nowiki>
|<nowiki>1|5 d3md</nowiki>
|<nowiki>1|5 d3md</nowiki>
|Yes
|Tied
|Tied
|
|
Line 177: Line 165:
|<nowiki>6|0 m2md</nowiki>
|<nowiki>6|0 m2md</nowiki>
|<nowiki>6|0 m2md</nowiki>
|<nowiki>6|0 m2md</nowiki>
|Yes
|Tied
|Tied
|
|
Line 186: Line 173:
|<nowiki>4|2 m1md</nowiki>
|<nowiki>4|2 m1md</nowiki>
|<nowiki>4|2 m1md</nowiki>
|<nowiki>4|2 m1md</nowiki>
|Yes
|Tied
|Tied
|
|
Line 195: Line 181:
|<nowiki>6|0 A1md A4md</nowiki>
|<nowiki>6|0 A1md A4md</nowiki>
|<nowiki>6|0 A1md A4md</nowiki>
|<nowiki>6|0 A1md A4md</nowiki>
|Yes
|Tied
|Tied
|Lydian #2 #5
|Lydian #2 #5
Line 204: Line 189:
|<nowiki>0|6 d6md</nowiki>
|<nowiki>0|6 d6md</nowiki>
|<nowiki>0|6 d6md</nowiki>
|<nowiki>0|6 d6md</nowiki>
|Yes
|Tied
|Tied
|
|
|Locrian bb7
|Locrian bb7
|-
|-
! colspan="8" |Modes of harmonic minor
! colspan="7" |Modes of harmonic minor
|-
|-
!Step pattern
!Step pattern
Line 215: Line 199:
!Brightest mode as tiebreaker
!Brightest mode as tiebreaker
!Darkest mode as tiebreaker
!Darkest mode as tiebreaker
!Same UDP?
!Which is closer?
!Which is closer?
!Alternative or unambiguous name(s)
!Alternative or unambiguous name(s)
Line 224: Line 207:
|<nowiki>5|1 m2md</nowiki>
|<nowiki>5|1 m2md</nowiki>
|<nowiki>3|3 M6md</nowiki>
|<nowiki>3|3 M6md</nowiki>
|No
|Neither
|Tied
|
|
|Ionian b3 (Melodic minor)
|Ionian b3 (Melodic minor)
Line 233: Line 215:
|<nowiki>3|3 m1md</nowiki>
|<nowiki>3|3 m1md</nowiki>
|<nowiki>1|5 M5md</nowiki>
|<nowiki>1|5 M5md</nowiki>
|No
|Brightest-match
|Brightest-match
|
|
Line 242: Line 223:
|<nowiki>6|0 A4md</nowiki>
|<nowiki>6|0 A4md</nowiki>
|<nowiki>6|0 A4md</nowiki>
|<nowiki>6|0 A4md</nowiki>
|Yes
|Tied
|Tied
|Lydian #5
|Lydian #5
Line 251: Line 231:
|<nowiki>6|0 m6md</nowiki>
|<nowiki>6|0 m6md</nowiki>
|<nowiki>4|2 A3md</nowiki>
|<nowiki>4|2 A3md</nowiki>
|No
|Brightest-match
|Brightest-match
|Lydian b7
|Lydian b7
Line 260: Line 239:
|<nowiki>4|2 m5md</nowiki>
|<nowiki>4|2 m5md</nowiki>
|<nowiki>2|4 M2md</nowiki>
|<nowiki>2|4 M2md</nowiki>
|No
|Brightest-match
|Brightest-match
|
|
Line 269: Line 247:
|<nowiki>2|4 d4md</nowiki>
|<nowiki>2|4 d4md</nowiki>
|<nowiki>0|6 M1md</nowiki>
|<nowiki>0|6 M1md</nowiki>
|No
|Darkest-match
|Darkest-match
|Aeolian b5, Locrian ♮2
|Aeolian b5, Locrian ♮2
Line 278: Line 255:
|<nowiki>0|6 d3md</nowiki>
|<nowiki>0|6 d3md</nowiki>
|<nowiki>0|6 d3md</nowiki>
|<nowiki>0|6 d3md</nowiki>
|Yes
|Brightest-match
|Brightest-match
|Locrian b4
|Locrian b4
|Locrian b4 (Altered)
|Locrian b4 (Altered)
|-
|-
! colspan="8" |Modes of Neapolitan major
! colspan="7" |Modes of Neapolitan major
|-
|-
!Step pattern
!Step pattern
Line 289: Line 265:
!Brightest mode as tiebreaker
!Brightest mode as tiebreaker
!Darkest mode as tiebreaker
!Darkest mode as tiebreaker
!Same UDP?
!Which is closer?
!Which is closer?
!Alternative or unambiguous name(s)
!Alternative or unambiguous name(s)
Line 298: Line 273:
|<nowiki>5|1 m1md m2md</nowiki>
|<nowiki>5|1 m1md m2md</nowiki>
|<nowiki>1|5 M5md M6md</nowiki>
|<nowiki>1|5 M5md M6md</nowiki>
|No
|Brightest-match
|Brightest-match
|Ionian b2 b3, Phrygian ♮6 ♮7
|Ionian b2 b3, Phrygian ♮6 ♮7
Line 307: Line 281:
|<nowiki>6|0 A4md A5md</nowiki>
|<nowiki>6|0 A4md A5md</nowiki>
|<nowiki>6|0 A4md A5md</nowiki>
|<nowiki>6|0 A4md A5md</nowiki>
|Yes
|Tied
|Tied
|Lydian #5 #6
|Lydian #5 #6
Line 316: Line 289:
|<nowiki>6|0 A4md m6md</nowiki>
|<nowiki>6|0 A4md m6md</nowiki>
|<nowiki>4|2 A3md A4md</nowiki>
|<nowiki>4|2 A3md A4md</nowiki>
|No
|Brightest-match
|Brightest-match
|Lydian #5 b7
|Lydian #5 b7
Line 325: Line 297:
|<nowiki>6|0 m5md m6md</nowiki>
|<nowiki>6|0 m5md m6md</nowiki>
|<nowiki>2|4 M2md A3md</nowiki>
|<nowiki>2|4 M2md A3md</nowiki>
|No
|Brightest-match
|Brightest-match
|Lydian b6 b7
|Lydian b6 b7
Line 334: Line 305:
|<nowiki>4|2 d4md m5md</nowiki>
|<nowiki>4|2 d4md m5md</nowiki>
|<nowiki>0|6 M1md M2md</nowiki>
|<nowiki>0|6 M1md M2md</nowiki>
|No
|Brightest-match
|Brightest-match
|Mixolydian b5 b6, Locrian ♮2 ♮3
|Mixolydian b5 b6, Locrian ♮2 ♮3
Line 343: Line 313:
|<nowiki>2|4 d3md d4md</nowiki>
|<nowiki>2|4 d3md d4md</nowiki>
|<nowiki>0|6 M1md d3md</nowiki>
|<nowiki>0|6 M1md d3md</nowiki>
|No
|Darkest-match
|Darkest-match
|Aeolian b4 b5, Locrian ♮2 b4
|Aeolian b4 b5, Locrian ♮2 b4
Line 352: Line 321:
|<nowiki>0|6 d2md d3md</nowiki>
|<nowiki>0|6 d2md d3md</nowiki>
|<nowiki>0|6 d2md d3md</nowiki>
|<nowiki>0|6 d2md d3md</nowiki>
|Yes
|Tied
|Tied
|
|
|Locrian bb3 b4 (Altered dominant bb3)
|Locrian bb3 b4 (Altered dominant bb3)
|-
|-
! colspan="8" |Modes of Neapolitan minor
! colspan="7" |Modes of Neapolitan minor
|-
|-
!Step pattern
!Step pattern
Line 363: Line 331:
!Brightest mode as tiebreaker
!Brightest mode as tiebreaker
!Darkest mode as tiebreaker
!Darkest mode as tiebreaker
!Same UDP?
!Which is closer?
!Which is closer?
!Alternative or unambiguous name(s)
!Alternative or unambiguous name(s)
Line 372: Line 339:
|<nowiki>1|5 M6md</nowiki>
|<nowiki>1|5 M6md</nowiki>
|<nowiki>1|5 M6md</nowiki>
|<nowiki>1|5 M6md</nowiki>
|Yes
|Tied
|Tied
|Phrygian ♮7
|Phrygian ♮7
Line 381: Line 347:
|<nowiki>6|0 A5md</nowiki>
|<nowiki>6|0 A5md</nowiki>
|<nowiki>6|0 A5md</nowiki>
|<nowiki>6|0 A5md</nowiki>
|Yes
|Tied
|Tied
|
|
Line 390: Line 355:
|<nowiki>4|2 A4md</nowiki>
|<nowiki>4|2 A4md</nowiki>
|<nowiki>4|2 A4md</nowiki>
|<nowiki>4|2 A4md</nowiki>
|Yes
|Tied
|Tied
|Mixolydian #5
|Mixolydian #5
Line 399: Line 363:
|<nowiki>2|4 A3md</nowiki>
|<nowiki>2|4 A3md</nowiki>
|<nowiki>2|4 A3md</nowiki>
|<nowiki>2|4 A3md</nowiki>
|Yes
|Tied
|Tied
|
|
Line 408: Line 371:
|<nowiki>0|6 M2md</nowiki>
|<nowiki>0|6 M2md</nowiki>
|<nowiki>0|6 M2md</nowiki>
|<nowiki>0|6 M2md</nowiki>
|Yes
|Tied
|Tied
|Locrian ♮3
|Locrian ♮3
Line 417: Line 379:
|<nowiki>5|1 A1md</nowiki>
|<nowiki>5|1 A1md</nowiki>
|<nowiki>5|1 A1md</nowiki>
|<nowiki>5|1 A1md</nowiki>
|Yes
|Tied
|Tied
|
|
Line 426: Line 387:
|<nowiki>0|6 d2md d3md d6md</nowiki>
|<nowiki>0|6 d2md d3md d6md</nowiki>
|<nowiki>0|6 d2md d3md d6md</nowiki>
|<nowiki>0|6 d2md d3md d6md</nowiki>
|Yes
|Tied
|Tied
|Locrian bb3 b4 bb7
|Locrian bb3 b4 bb7

Revision as of 21:24, 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 Which is closer? Alternative or unambiguous name(s) Default names chosen
LsLLsAs Harmonic minor 2|4 M6md 2|4 M6md Tied Aeolian ♮7 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 #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 #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 or attested names Brightest mode as tiebreaker Darkest mode as tiebreaker Which is closer? Alternative or unambiguous name(s) 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 #2 #5 (Lydian augmented #2)
sLLsLsA Locrian bb7 0|6 d6md 0|6 d6md Tied Locrian bb7
Modes of harmonic minor
Step pattern Common or attested names Brightest mode as tiebreaker Darkest mode as tiebreaker Which is closer? Alternative or unambiguous name(s) 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 #5 (Lydian augmented)
LLLsLsL Lydian dominant 6|0 m6md 4|2 A3md Brightest-match Lydian b7 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, Locrian ♮2 Aeolian b5 (Half-diminished)
sLsLLLL Altered 0|6 d3md 0|6 d3md 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 Which is closer? Alternative or unambiguous name(s) Default names chosen
sLLLLLs Neapolitan major 5|1 m1md m2md 1|5 M5md M6md 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 Tied Lydian #5 #6 Lydian #5 #6 (Lydian augmented #6)
LLLLssL Lydian augmented dominant 6|0 A4md m6md 4|2 A3md A4md Brightest-match Lydian #5 b7 Lydian #5 b7 (Lydian augmented dominant)
LLLssLL Lydian dominant b6 6|0 m5md m6md 2|4 M2md A3md Brightest-match Lydian b6 b7 Lydian b6 b7 (Lydian minor)
LLssLLL Major locrian 4|2 d4md m5md 0|6 M1md M2md 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 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 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 Which is closer? Alternative or unambiguous name(s) Default names chosen
sLLLsAs Neapolitan minor 1|5 M6md 1|5 M6md Tied Phrygian ♮7 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 #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 ♮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 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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