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

Ganaram inukshuk (talk | contribs)
Ganaram inukshuk (talk | contribs)
 
(8 intermediate revisions by the same user not shown)
Line 6: Line 6:


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="7" |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
!Which is closer?
!Which is closer?
!Alternative or unambiguous name(s)
!Default names chosen
|-
|-
|LsLLsAs
|LsLLsAs
Line 76: Line 152:
|<nowiki>2|4 M6md</nowiki>
|<nowiki>2|4 M6md</nowiki>
|Tied
|Tied
|Aeolian ♮7
|Aeolian ♮7 (Harmonic minor)
|-
|-
|sLLsAsL
|sLLsAsL
Line 84: Line 158:
|<nowiki>0|6 M5md</nowiki>
|<nowiki>0|6 M5md</nowiki>
|Tied
|Tied
|
|Locrian ♮6
|-
|-
|LLsAsLs
|LLsAsLs
Line 92: Line 164:
|<nowiki>5|1 A4md</nowiki>
|<nowiki>5|1 A4md</nowiki>
|Tied
|Tied
|Ionian #5
|Ionian #5 (Ionian augmented)
|-
|-
|LsAsLsL
|LsAsLsL
Line 100: Line 170:
|<nowiki>3|3 A3md</nowiki>
|<nowiki>3|3 A3md</nowiki>
|Tied
|Tied
|
|Dorian #4
|-
|-
|sAsLsLL
|sAsLsLL
Line 108: Line 176:
|<nowiki>1|5 M2md</nowiki>
|<nowiki>1|5 M2md</nowiki>
|Tied
|Tied
|Phrygian #3
|Phrygian #3 (Phrygian dominant)
|-
|-
|AsLsLLs
|AsLsLLs
Line 116: Line 182:
|<nowiki>6|0 A1md</nowiki>
|<nowiki>6|0 A1md</nowiki>
|Tied
|Tied
|
|Lydian #2
|-
|-
|sLsLLsA
|sLsLLsA
Line 124: Line 188:
|<nowiki>0|6 d3md d6md</nowiki>
|<nowiki>0|6 d3md d6md</nowiki>
|Tied
|Tied
|
|Locrian b4 bb7 (Altered  diminished)
|-
|-
! colspan="7" |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
!Which is closer?
!Which is closer?
!Alternative or unambiguous name(s)
!Default names chosen
|-
|-
|LLsLsAs
|LLsLsAs
Line 142: Line 202:
|<nowiki>5|1 m5md</nowiki>
|<nowiki>5|1 m5md</nowiki>
|Tied
|Tied
|
|Ionian b6 (Harmonic major)
|-
|-
|LsLsAsL
|LsLsAsL
Line 150: Line 208:
|<nowiki>3|3 d4md</nowiki>
|<nowiki>3|3 d4md</nowiki>
|Tied
|Tied
|
|Dorian b5
|-
|-
|sLsAsLL
|sLsAsLL
Line 158: Line 214:
|<nowiki>1|5 d3md</nowiki>
|<nowiki>1|5 d3md</nowiki>
|Tied
|Tied
|
|Phrygian b4
|-
|-
|LsAsLLs
|LsAsLLs
Line 166: Line 220:
|<nowiki>6|0 m2md</nowiki>
|<nowiki>6|0 m2md</nowiki>
|Tied
|Tied
|
|Lydian b3
|-
|-
|sAsLLsL
|sAsLLsL
Line 174: Line 226:
|<nowiki>4|2 m1md</nowiki>
|<nowiki>4|2 m1md</nowiki>
|Tied
|Tied
|
|Mixolydian b2
|-
|-
|AsLLsLs
|AsLLsLs
Line 182: Line 232:
|<nowiki>6|0 A1md A4md</nowiki>
|<nowiki>6|0 A1md A4md</nowiki>
|Tied
|Tied
|Lydian #2 #5
|Lydian #2 #5 (Lydian augmented #2)
|-
|-
|sLLsLsA
|sLLsLsA
Line 190: Line 238:
|<nowiki>0|6 d6md</nowiki>
|<nowiki>0|6 d6md</nowiki>
|Tied
|Tied
|
|Locrian bb7
|-
|-
! colspan="7" |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
!Which is closer?
!Which is closer?
!Alternative or unambiguous name(s)
!Default names chosen
|-
|-
|LsLLLLs
|LsLLLLs
Line 208: Line 252:
|<nowiki>3|3 M6md</nowiki>
|<nowiki>3|3 M6md</nowiki>
|Neither
|Neither
|
|Ionian b3 (Melodic minor)
|-
|-
|sLLLLsL
|sLLLLsL
Line 216: Line 258:
|<nowiki>1|5 M5md</nowiki>
|<nowiki>1|5 M5md</nowiki>
|Brightest-match
|Brightest-match
|
|Dorian b2
|-
|-
|LLLLsLs
|LLLLsLs
Line 224: Line 264:
|<nowiki>6|0 A4md</nowiki>
|<nowiki>6|0 A4md</nowiki>
|Tied
|Tied
|Lydian #5
|Lydian #5 (Lydian augmented)
|-
|-
|LLLsLsL
|LLLsLsL
Line 232: Line 270:
|<nowiki>4|2 A3md</nowiki>
|<nowiki>4|2 A3md</nowiki>
|Brightest-match
|Brightest-match
|Lydian b7
|Lydian b7 (Lydian dominant)
|-
|-
|LLsLsLL
|LLsLsLL
Line 240: Line 276:
|<nowiki>2|4 M2md</nowiki>
|<nowiki>2|4 M2md</nowiki>
|Brightest-match
|Brightest-match
|
|Mixolydian b6
|-
|-
|LsLsLLL
|LsLsLLL
Line 248: Line 282:
|<nowiki>0|6 M1md</nowiki>
|<nowiki>0|6 M1md</nowiki>
|Darkest-match
|Darkest-match
|Aeolian b5, Locrian ♮2
|Aeolian b5 (Half-diminished)
|-
|-
|sLsLLLL
|sLsLLLL
Line 256: Line 288:
|<nowiki>0|6 d3md</nowiki>
|<nowiki>0|6 d3md</nowiki>
|Brightest-match
|Brightest-match
|Locrian b4
|Locrian b4 (Altered)
|-
|-
! colspan="7" |Modes of Neapolitan major
! colspan="5" |Modes of Neapolitan minor
|-
|-
!Step pattern
!Step pattern
!Common or attested names
!Common name(s)
!Brightest mode as tiebreaker
!Brightest match
!Darkest mode as tiebreaker
!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
!Common name(s)
!Brightest match
!Darkest match
!Which is closer?
!Which is closer?
!Alternative or unambiguous name(s)
!Default names chosen
|-
|-
|sLLLLLs
|sLLLLLs
Line 274: Line 352:
|<nowiki>1|5 M5md M6md</nowiki>
|<nowiki>1|5 M5md M6md</nowiki>
|Brightest-match
|Brightest-match
|Ionian b2 b3, Phrygian ♮6 ♮7
|Ionian b2 b3 (Neapolitan major)
|-
|-
|LLLLLss
|LLLLLss
Line 282: Line 358:
|<nowiki>6|0 A4md A5md</nowiki>
|<nowiki>6|0 A4md A5md</nowiki>
|Tied
|Tied
|Lydian #5 #6
|Lydian #5 #6 (Lydian augmented #6)
|-
|-
|LLLLssL
|LLLLssL
Line 290: Line 364:
|<nowiki>4|2 A3md A4md</nowiki>
|<nowiki>4|2 A3md A4md</nowiki>
|Brightest-match
|Brightest-match
|Lydian #5 b7
|Lydian #5 b7 (Lydian augmented dominant)
|-
|-
|LLLssLL
|LLLssLL
Line 298: Line 370:
|<nowiki>2|4 M2md A3md</nowiki>
|<nowiki>2|4 M2md A3md</nowiki>
|Brightest-match
|Brightest-match
|Lydian b6 b7
|Lydian b6 b7 (Lydian minor)
|-
|-
|LLssLLL
|LLssLLL
Line 306: Line 376:
|<nowiki>0|6 M1md M2md</nowiki>
|<nowiki>0|6 M1md M2md</nowiki>
|Brightest-match
|Brightest-match
|Mixolydian b5 b6, Locrian ♮2 ♮3
|Mixolydian b5 b6 (Major Locrian)
|-
|-
|LssLLLL
|LssLLLL
Line 314: Line 382:
|<nowiki>0|6 M1md d3md</nowiki>
|<nowiki>0|6 M1md d3md</nowiki>
|Darkest-match
|Darkest-match
|Aeolian b4 b5, Locrian ♮2 b4
|Aeolian b4 b5 (Altered dominant ♮2)
|-
|-
|ssLLLLL
|ssLLLLL
Line 322: Line 388:
|<nowiki>0|6 d2md d3md</nowiki>
|<nowiki>0|6 d2md d3md</nowiki>
|Tied
|Tied
|
|Locrian bb3 b4 (Altered dominant bb3)
|-
|-
! colspan="7" |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
!Which is closer?
!Which is closer?
!Alternative or unambiguous name(s)
!Default names chosen
|-
|-
|sLLLsAs
|sAsLsAs
|Neapolitan minor
|Double harmonic
|<nowiki>1|5 M6md</nowiki>
|<nowiki>1|5 M6md</nowiki>
|Tied
|Phrygian ♮7
|Phrygian ♮7 (Neapolitan minor)
|-
|LLLsAss
|Lydian #6
|<nowiki>6|0 A5md</nowiki>
|<nowiki>6|0 A5md</nowiki>
|Tied
|
|
|Lydian #6
|-
|LLsAssL
|Mixolydian augmented
|<nowiki>4|2 A4md</nowiki>
|<nowiki>4|2 A4md</nowiki>
|Tied
|Mixolydian #5
|Mixolydian #5 (Mixolydian augmented)
|-
|LsAssLL
|Aeolian #4
|<nowiki>2|4 A3md</nowiki>
|<nowiki>2|4 A3md</nowiki>
|Tied
|
|
|Aeolian #4
|-
|sAssLLL
|Locrian dominant
|<nowiki>0|6 M2md</nowiki>
|<nowiki>0|6 M2md</nowiki>
|Tied
|Locrian ♮3
|Locrian ♮3 (Locrian dominant)
|-
|AssLLLs
|Ionian #2
|<nowiki>5|1 A1md</nowiki>
|<nowiki>5|1 A1md</nowiki>
|Tied
|
|
|Ionian #2
|-
|ssLLLsA
|Altered diminished bb3
|<nowiki>0|6 d2md d3md d6md</nowiki>
|<nowiki>0|6 d2md d3md d6md</nowiki>
|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}}