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

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Modmosses shown here are chosen for testing purposes and may not correspond to actual scales used in practice.
Modmosses shown here are chosen for testing purposes and may not correspond to actual scales used in practice.
{| class="wikitable"
|+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 ==
== 1L 6s ==
Line 12: Line 46:


* LssssLd - Lssssss, but with a raised 6-degree.
* LssssLd - Lssssss, but with a raised 6-degree.
{{MOS mode degrees|Scale Signature=1L 6s|MODMOS Step Pattern=LssssLd}}
{{MOS mode degrees|Scale Signature=1L 6s|MODMOS Step Pattern=LSSSSLd}}


== 2L 5s ==
== 2L 5s ==
Line 21: Line 55:
* ssLsLdL - The "sister" of LLsLsAs, 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.
* sLssssL - The "sister" of LsLLLLs, a modmos of 5L 2s.
{{MOS mode degrees|Scale Signature=2L 5s|MODMOS Step Pattern=sLssLdL}}
{{MOS mode degrees|Scale Signature=2L 5s|MODMOS Step Pattern=SLSSLdL}}
{{MOS mode degrees|Scale Signature=2L 5s|MODMOS Step Pattern=ssLsLdL}}
{{MOS mode degrees|Scale Signature=2L 5s|MODMOS Step Pattern=SSLSLdL}}
{{MOS mode degrees|Scale Signature=2L 5s|MODMOS Step Pattern=sLssssL}}
{{MOS mode degrees|Scale Signature=2L 5s|MODMOS Step Pattern=sLssssL}}


Line 34: Line 68:
* LLssLsL - LsLsLsL, but with the 2nd and 3rd steps rearranged to produce an augmented 2-step.
* 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.
* LLssLLs - LsLsLLs, but with the 2nd and 3rd steps rearranged to produce an augmented 2-step.
{{MOS mode degrees|Scale Signature=4L 3s|MODMOS Step Pattern=LLssLsL}}{{MOS mode degrees|Scale Signature=4L 3s|MODMOS Step Pattern=LLssLLs}}
{{MOS mode degrees|Scale Signature=4L 3s|MODMOS Step Pattern=LLssLsL}}
{{MOS mode degrees|Scale Signature=4L 3s|MODMOS Step Pattern=LLssLLs}}


== 5L 2s ==
== 5L 2s ==
Line 45: Line 80:
* Neapolitan major (sLLLLLs); attested names added for comparison
* Neapolitan major (sLLLLLs); attested names added for comparison
* Neapolitan minor (sLLLsAs); attested names added for comparison
* Neapolitan minor (sLLLsAs); attested names added for comparison
Modmos properties
{| class="wikitable"
|+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)
|}{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=AssLAss|Mode Names=Default}}
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=LsLLsAs}}
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=LsLLsAs}}


Line 54: Line 134:


{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=sLLLsAs}}
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=sLLLsAs}}
Modes whose attested names don't match the given UDP:
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=sAsLsAs}}
'''Default names chosen for 5L 2s modmosses'''


* LsLLLLs: Ionian b3 or melodic minor; non-issue since both names are valid.
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.
* 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'''
{| class="wikitable"
{| class="wikitable"
! colspan="8" |Modes of harmonic minor
! colspan="5" |Modes of harmonic minor
|-
|-
!Step pattern
!Step pattern
!Common or attested names
!Common name(s)
!Brightest mode as tiebreaker
!Brightest match
!Darkest mode as tiebreaker
!Darkest match
!Same UDP?
!Which is closer?
!Which is closer?
!Alternative or unambiguous name(s)
!Default names chosen
|-
|-
|LsLLsAs
|LsLLsAs
Line 76: Line 151:
|<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 (Harmonic minor)
|-
|-
|sLLsAsL
|sLLsAsL
Line 85: Line 157:
|<nowiki>0|6 M5md</nowiki>
|<nowiki>0|6 M5md</nowiki>
|<nowiki>0|6 M5md</nowiki>
|<nowiki>0|6 M5md</nowiki>
|Yes
|Tied
|Tied
|
|Locrian ♮6
|-
|-
|LLsAsLs
|LLsAsLs
Line 94: Line 163:
|<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 (Ionian augmented)
|-
|-
|LsAsLsL
|LsAsLsL
Line 103: Line 169:
|<nowiki>3|3 A3md</nowiki>
|<nowiki>3|3 A3md</nowiki>
|<nowiki>3|3 A3md</nowiki>
|<nowiki>3|3 A3md</nowiki>
|Yes
|Tied
|Tied
|
|Dorian #4
|-
|-
|sAsLsLL
|sAsLsLL
Line 112: Line 175:
|<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 (Phrygian dominant)
|-
|-
|AsLsLLs
|AsLsLLs
Line 121: Line 181:
|<nowiki>6|0 A1md</nowiki>
|<nowiki>6|0 A1md</nowiki>
|<nowiki>6|0 A1md</nowiki>
|<nowiki>6|0 A1md</nowiki>
|Yes
|Tied
|Tied
|
|Lydian #2
|-
|-
|sLsLLsA
|sLsLLsA
Line 130: Line 187:
|<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)
|-
|-
! colspan="8" |Modes of harmonic major
! colspan="5" |Modes of harmonic major
|-
|-
!Step pattern
!Step pattern
!Common or attested names
!Common name(s)
!Brightest mode as tiebreaker
!Brightest match
!Darkest mode as tiebreaker
!Darkest match
!Same UDP?
!Which is closer?
!Which is closer?
!Alternative or unambiguous name(s)
!Default names chosen
|-
|-
|LLsLsAs
|LLsLsAs
Line 150: Line 201:
|<nowiki>5|1 m5md</nowiki>
|<nowiki>5|1 m5md</nowiki>
|<nowiki>5|1 m5md</nowiki>
|<nowiki>5|1 m5md</nowiki>
|Yes
|Tied
|Tied
|
|Ionian b6 (Harmonic major)
|-
|-
|LsLsAsL
|LsLsAsL
Line 159: Line 207:
|<nowiki>3|3 d4md</nowiki>
|<nowiki>3|3 d4md</nowiki>
|<nowiki>3|3 d4md</nowiki>
|<nowiki>3|3 d4md</nowiki>
|Yes
|Tied
|Tied
|
|Dorian b5
|-
|-
|sLsAsLL
|sLsAsLL
Line 168: Line 213:
|<nowiki>1|5 d3md</nowiki>
|<nowiki>1|5 d3md</nowiki>
|<nowiki>1|5 d3md</nowiki>
|<nowiki>1|5 d3md</nowiki>
|Yes
|Tied
|Tied
|
|Phrygian b4
|-
|-
|LsAsLLs
|LsAsLLs
Line 177: Line 219:
|<nowiki>6|0 m2md</nowiki>
|<nowiki>6|0 m2md</nowiki>
|<nowiki>6|0 m2md</nowiki>
|<nowiki>6|0 m2md</nowiki>
|Yes
|Tied
|Tied
|
|Lydian b3
|-
|-
|sAsLLsL
|sAsLLsL
Line 186: Line 225:
|<nowiki>4|2 m1md</nowiki>
|<nowiki>4|2 m1md</nowiki>
|<nowiki>4|2 m1md</nowiki>
|<nowiki>4|2 m1md</nowiki>
|Yes
|Tied
|Tied
|
|Mixolydian b2
|-
|-
|AsLLsLs
|AsLLsLs
Line 195: Line 231:
|<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 (Lydian augmented #2)
|-
|-
|sLLsLsA
|sLLsLsA
Line 204: Line 237:
|<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
|-
|-
! colspan="8" |Modes of harmonic minor
! colspan="5" |Modes of harmonic minor
|-
|-
!Step pattern
!Step pattern
!Common or attested names
!Common name(s)
!Brightest mode as tiebreaker
!Brightest match
!Darkest mode as tiebreaker
!Darkest match
!Same UDP?
!Which is closer?
!Which is closer?
!Alternative or unambiguous name(s)
!Default names chosen
|-
|-
|LsLLLLs
|LsLLLLs
Line 224: Line 251:
|<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)
|-
|-
|sLLLLsL
|sLLLLsL
Line 233: Line 257:
|<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
|
|Dorian b2
|-
|-
|LLLLsLs
|LLLLsLs
Line 242: Line 263:
|<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 (Lydian augmented)
|-
|-
|LLLsLsL
|LLLsLsL
Line 251: Line 269:
|<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 (Lydian dominant)
|-
|-
|LLsLsLL
|LLsLsLL
Line 260: Line 275:
|<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
|
|Mixolydian b6
|-
|-
|LsLsLLL
|LsLsLLL
Line 269: Line 281:
|<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 (Half-diminished)
|-
|-
|sLsLLLL
|sLsLLLL
Line 278: Line 287:
|<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 (Altered)
|-
|-
! colspan="8" |Modes of Neapolitan major
! colspan="5" |Modes of Neapolitan minor
|-
!Step pattern
!Common name(s)
!Brightest match
!Darkest match
!Which is closer?
|-
|sLLLsAs
|Neapolitan minor
|<nowiki>1|5 M6md</nowiki>
|<nowiki>1|5 M6md</nowiki>
|Tied
|-
|LLLsAss
|Lydian #6
|<nowiki>6|0 A5md</nowiki>
|<nowiki>6|0 A5md</nowiki>
|Tied
|-
|LLsAssL
|Mixolydian augmented
|<nowiki>4|2 A4md</nowiki>
|<nowiki>4|2 A4md</nowiki>
|Tied
|-
|LsAssLL
|Aeolian #4
|<nowiki>2|4 A3md</nowiki>
|<nowiki>2|4 A3md</nowiki>
|Tied
|-
|sAssLLL
|Locrian dominant
|<nowiki>0|6 M2md</nowiki>
|<nowiki>0|6 M2md</nowiki>
|Tied
|-
|AssLLLs
|Ionian #2
|<nowiki>5|1 A1md</nowiki>
|<nowiki>5|1 A1md</nowiki>
|Tied
|-
|ssLLLsA
|Altered diminished bb3
|<nowiki>0|6 d2md d3md d6md</nowiki>
|<nowiki>0|6 d2md d3md d6md</nowiki>
|Tied
|-
! colspan="5" |Modes of Neapolitan major
|-
|-
!Step pattern
!Step pattern
!Common or attested names
!Common name(s)
!Brightest mode as tiebreaker
!Brightest match
!Darkest mode as tiebreaker
!Darkest match
!Same UDP?
!Which is closer?
!Which is closer?
!Alternative or unambiguous name(s)
!Default names chosen
|-
|-
|sLLLLLs
|sLLLLLs
Line 298: Line 351:
|<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 (Neapolitan major)
|-
|-
|LLLLLss
|LLLLLss
Line 307: Line 357:
|<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 (Lydian augmented #6)
|-
|-
|LLLLssL
|LLLLssL
Line 316: Line 363:
|<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 (Lydian augmented dominant)
|-
|-
|LLLssLL
|LLLssLL
Line 325: Line 369:
|<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 (Lydian minor)
|-
|-
|LLssLLL
|LLssLLL
Line 334: Line 375:
|<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 (Major Locrian)
|-
|-
|LssLLLL
|LssLLLL
Line 343: Line 381:
|<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 (Altered dominant ♮2)
|-
|-
|ssLLLLL
|ssLLLLL
Line 352: Line 387:
|<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)
|-
|-
! colspan="8" |Modes of Neapolitan minor
! colspan="5" |Modes of double harmonic
|-
|-
!Step pattern
!Step pattern
!Common or attested names
!Common name(s)
!Brightest mode as tiebreaker
!Brightest match
!Darkest mode as tiebreaker
!Darkest match
!Same UDP?
!Which is closer?
!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
|sAsLsAs
|Lydian #6
|Double harmonic
|<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}}
Retrieved from "https://en.xen.wiki/w/User:Ganaram_inukshuk/Sandbox/Modmosses"