Template:MOS mode degrees/doc: Difference between revisions

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| s || No (uppercase or lowercase) || The small step of a mos|| s

|-

| c || Yes (lowercase) || The difference between a large and small step; the interval needed to add to a small step to make it a large step || L - s

| c || Yes (lowercase) || The difference between a large and small step; the interval needed to add to a small step to make it a large step || L − s

|-

| A || Yes (uppercase) || An augmented step; a large step plus a chroma || 2L - s

| A || Yes (uppercase) || An augmented step; a large step plus a chroma || 2L − s

|-

| d || Yes (lowercase) || A diminished step (or diesis in some contexts); a small step minus a chroma || -L + 2s

| d || Yes (lowercase) || A diminished step (or diesis in some contexts); a small step minus a chroma || −L + 2s

|}

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This doesn't always produce the mode that one may expect; for example, melodic minor (step pattern LsLLLLs) can be thought of as the Aeolian mode with a natural-6 and natural-7 (or major 5- and 6-mosdegrees, in TAMNAMS parlance), but the template calculates the closest mode to be Dorian (UDP 3|3) with a major 7th (6-mosstep).

{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=LsLLLLs|Mode Names=Aeolian ♮6 ♮7 (Melodic minor); Dorian b2; Lydian #5 (Lydian augmented); Lydian b7 (Lydian dominant); Mixolydian b6; Locrian ♮2 (Half-diminished); Locrian bb4 (Altered dominant, super-locrian)}}

{{MOS mode degrees

| Scale Signature=5L 2s

| MODMOS Step Pattern=LsLLLLs

| Mode Names=Aeolian ♮6 ♮7 (Melodic minor); Dorian b2; Lydian #5 (Lydian augmented); Lydian b7 (Lydian dominant); Mixolydian b6; Locrian ♮2 (Half-diminished); Locrian bb4 (Altered dominant, super-locrian)

}}

The use of the brightest mode is a tradeoff between using the brightest mode as a tiebreaker versus the darkest mode.

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! Brightest mode as tiebreaker !! Darkest mode as tiebreaker !! Step pattern !! Common names || Which tiebreaker is correct?

|-

| 5<nowiki>|</nowiki>1 m2md||3<nowiki>|</nowiki>3 M6md||LsLLLLs||Aeolian ♮6 ♮7 (Melodic minor)||Neither

| 5<nowiki>|</nowiki>1 m2md || 3<nowiki>|</nowiki>3 M6md || LsLLLLs || Aeolian ♮6 ♮7 (Melodic minor) || Neither

|-

| 3<nowiki>|</nowiki>3 m1md||1<nowiki>|</nowiki>5 M5md||sLLLLsL||Dorian b2||Brightest

| 3<nowiki>|</nowiki>3 m1md || 1<nowiki>|</nowiki>5 M5md || sLLLLsL || Dorian b2 || Brightest

|-

| 6<nowiki>|</nowiki>0 A4md||6<nowiki>|</nowiki>0 A4md||LLLLsLs||Lydian #5 (Lydian augmented)||Brightest

| 6<nowiki>|</nowiki>0 A4md || 6<nowiki>|</nowiki>0 A4md || LLLLsLs || Lydian #5 (Lydian augmented) || Brightest

|-

| 6<nowiki>|</nowiki>0 m6md||4<nowiki>|</nowiki>2 A3md||LLLsLsL||Lydian b7 (Lydian dominant)}||Brightest

| 6<nowiki>|</nowiki>0 m6md || 4<nowiki>|</nowiki>2 A3md || LLLsLsL || Lydian b7 (Lydian dominant)} || Brightest

|-

| 4<nowiki>|</nowiki>2 m5md||2<nowiki>|</nowiki>4 M2md||LLsLsLL||Mixolydian b6||Brightest

| 4<nowiki>|</nowiki>2 m5md || 2<nowiki>|</nowiki>4 M2md || LLsLsLL || Mixolydian b6 || Brightest

|-

| 2<nowiki>|</nowiki>4 d4md||0<nowiki>|</nowiki>6 M1md||LsLsLLL||Locrian ♮2 (Half-diminished)||Brightest

| 2<nowiki>|</nowiki>4 d4md || 0<nowiki>|</nowiki>6 M1md || LsLsLLL || Locrian ♮2 (Half-diminished) || Brightest

|-

| 0<nowiki>|</nowiki>6 d3md||0<nowiki>|</nowiki>6 d3md||sLsLLLL||Locrian bb4 (Altered dominant, super-locrian)||Brightest

| 0<nowiki>|</nowiki>6 d3md || 0<nowiki>|</nowiki>6 d3md || sLsLLLL || Locrian bb4 (Altered dominant, super-locrian) || Brightest

|}

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! Brightest mode as tiebreaker !! Darkest mode as tiebreaker !! Step pattern !! Attested name(s) || Which tiebreaker is correct?

|-

| 5<nowiki>|</nowiki>1 m1md m2md||1<nowiki>|</nowiki>5 M5md M6md||sLLLLLs||Ionian b2 b3 (Neapolitan major)||Brightest

| 5<nowiki>|</nowiki>1 m1md m2md || 1<nowiki>|</nowiki>5 M5md M6md || sLLLLLs || Ionian b2 b3 (Neapolitan major) || Brightest

|-

| 6<nowiki>|</nowiki>0 A4md A5md||6<nowiki>|</nowiki>0 A4md A5md||LLLLLss||Lydian #5 #6 (Leading whole-tone)||Brightest

| 6<nowiki>|</nowiki>0 A4md A5md || 6<nowiki>|</nowiki>0 A4md A5md || LLLLLss || Lydian #5 #6 (Leading whole-tone) || Brightest

|-

| 6<nowiki>|</nowiki>0 A4md m6md||4<nowiki>|</nowiki>2 A3md A4md||LLLLssL||Lydian #5 b7 (Lydian dominant augmented), Mixolydian #5 #11||Depends on name

| 6<nowiki>|</nowiki>0 A4md m6md || 4<nowiki>|</nowiki>2 A3md A4md || LLLLssL || Lydian #5 b7 (Lydian dominant augmented), Mixolydian #5 #11 || Depends on name

|-

| 6<nowiki>|</nowiki>0 m5md m6md||2<nowiki>|</nowiki>4 M2md A3md||LLLssLL||Lydian b6 b7, Mixolydian #11 #13||Depends on name

| 6<nowiki>|</nowiki>0 m5md m6md || 2<nowiki>|</nowiki>4 M2md A3md || LLLssLL || Lydian b6 b7, Mixolydian #11 #13 || Depends on name

|-

| 4<nowiki>|</nowiki>2 d4md m5md||0<nowiki>|</nowiki>6 M1md M2md||LLssLLL||Locrian ♮2 ♮3 (Major locrian), Mixolydian b5 b6||Depends on name

| 4<nowiki>|</nowiki>2 d4md m5md || 0<nowiki>|</nowiki>6 M1md M2md || LLssLLL || Locrian ♮2 ♮3 (Major locrian), Mixolydian b5 b6 || Depends on name

|-

| 2<nowiki>|</nowiki>4 d3md d4md||0<nowiki>|</nowiki>6 M1md d3md||LssLLLL||Locrian ♮2 b4 (Semilocrian b4)||Darkest

| 2<nowiki>|</nowiki>4 d3md d4md || 0<nowiki>|</nowiki>6 M1md d3md || LssLLLL || Locrian ♮2 b4 (Semilocrian b4) || Darkest

|-

| 0<nowiki>|</nowiki>6 d2md d3md||0<nowiki>|</nowiki>6 d2md d3md||ssLLLLL||Locrian bb3 b4 (Superlocrian bb3)||Darkest

| 0<nowiki>|</nowiki>6 d2md d3md || 0<nowiki>|</nowiki>6 d2md d3md || ssLLLLL || Locrian bb3 b4 (Superlocrian bb3) || Darkest

|}

@@ Line 74: / Line 74: @@
 | s || No (uppercase or lowercase) || The small step of a mos|| s
 |-
-| c || Yes (lowercase) || The difference between a large and small step; the interval needed to add to a small step to make it a large step || L - s
+| c || Yes (lowercase) || The difference between a large and small step; the interval needed to add to a small step to make it a large step || L &minus; s
 |-
-| A || Yes (uppercase) || An augmented step; a large step plus a chroma || 2L - s
+| A || Yes (uppercase) || An augmented step; a large step plus a chroma || 2L &minus; s
 |-
-| d || Yes (lowercase) || A diminished step (or diesis in some contexts); a small step minus a chroma || -L + 2s
+| d || Yes (lowercase) || A diminished step (or diesis in some contexts); a small step minus a chroma || &minus;L + 2s
 |}
@@ Line 88: / Line 88: @@
 This doesn't always produce the mode that one may expect; for example, melodic minor (step pattern LsLLLLs) can be thought of as the Aeolian mode with a natural-6 and natural-7 (or major 5- and 6-mosdegrees, in TAMNAMS parlance), but the template calculates the closest mode to be Dorian (UDP 3|3) with a major 7th (6-mosstep).
-{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=LsLLLLs|Mode Names=Aeolian ♮6 ♮7 (Melodic minor); Dorian b2; Lydian #5 (Lydian augmented); Lydian b7 (Lydian dominant); Mixolydian b6; Locrian ♮2 (Half-diminished); Locrian bb4 (Altered dominant, super-locrian)}}
+{{MOS mode degrees
+| Scale Signature=5L 2s
+| MODMOS Step Pattern=LsLLLLs
+| Mode Names=Aeolian ♮6 ♮7 (Melodic minor); Dorian b2; Lydian #5 (Lydian augmented); Lydian b7 (Lydian dominant); Mixolydian b6; Locrian ♮2 (Half-diminished); Locrian bb4 (Altered dominant, super-locrian)
+}}
 The use of the brightest mode is a tradeoff between using the brightest mode as a tiebreaker versus the darkest mode.
@@ Line 96: / Line 100: @@
 ! Brightest mode as tiebreaker !! Darkest mode as tiebreaker !! Step pattern !! Common names || Which tiebreaker is correct?
 |-
-| 5<nowiki>|</nowiki>1 m2md||3<nowiki>|</nowiki>3 M6md||LsLLLLs||Aeolian ♮6 ♮7 (Melodic minor)||Neither
+| 5<nowiki>|</nowiki>1 m2md || 3<nowiki>|</nowiki>3 M6md || LsLLLLs || Aeolian ♮6 ♮7 (Melodic minor) || Neither
 |-
-| 3<nowiki>|</nowiki>3 m1md||1<nowiki>|</nowiki>5 M5md||sLLLLsL||Dorian b2||Brightest
+| 3<nowiki>|</nowiki>3 m1md || 1<nowiki>|</nowiki>5 M5md || sLLLLsL || Dorian b2 || Brightest
 |-
-| 6<nowiki>|</nowiki>0 A4md||6<nowiki>|</nowiki>0 A4md||LLLLsLs||Lydian #5 (Lydian augmented)||Brightest
+| 6<nowiki>|</nowiki>0 A4md || 6<nowiki>|</nowiki>0 A4md || LLLLsLs || Lydian #5 (Lydian augmented) || Brightest
 |-
-| 6<nowiki>|</nowiki>0 m6md||4<nowiki>|</nowiki>2 A3md||LLLsLsL||Lydian b7 (Lydian dominant)}||Brightest
+| 6<nowiki>|</nowiki>0 m6md || 4<nowiki>|</nowiki>2 A3md || LLLsLsL || Lydian b7 (Lydian dominant)} || Brightest
 |-
-| 4<nowiki>|</nowiki>2 m5md||2<nowiki>|</nowiki>4 M2md||LLsLsLL||Mixolydian b6||Brightest
+| 4<nowiki>|</nowiki>2 m5md || 2<nowiki>|</nowiki>4 M2md || LLsLsLL || Mixolydian b6 || Brightest
 |-
-| 2<nowiki>|</nowiki>4 d4md||0<nowiki>|</nowiki>6 M1md||LsLsLLL||Locrian ♮2 (Half-diminished)||Brightest
+| 2<nowiki>|</nowiki>4 d4md || 0<nowiki>|</nowiki>6 M1md || LsLsLLL || Locrian ♮2 (Half-diminished) || Brightest
 |-
-| 0<nowiki>|</nowiki>6 d3md||0<nowiki>|</nowiki>6 d3md||sLsLLLL||Locrian bb4 (Altered dominant, super-locrian)||Brightest
+| 0<nowiki>|</nowiki>6 d3md || 0<nowiki>|</nowiki>6 d3md || sLsLLLL || Locrian bb4 (Altered dominant, super-locrian) || Brightest
 |}
@@ Line 115: / Line 119: @@
 ! Brightest mode as tiebreaker !! Darkest mode as tiebreaker !! Step pattern !! Attested name(s) || Which tiebreaker is correct?
 |-
-| 5<nowiki>|</nowiki>1 m1md m2md||1<nowiki>|</nowiki>5 M5md M6md||sLLLLLs||Ionian b2 b3 (Neapolitan major)||Brightest
+| 5<nowiki>|</nowiki>1 m1md m2md || 1<nowiki>|</nowiki>5 M5md M6md || sLLLLLs || Ionian b2 b3 (Neapolitan major) || Brightest
 |-
-| 6<nowiki>|</nowiki>0 A4md A5md||6<nowiki>|</nowiki>0 A4md A5md||LLLLLss||Lydian #5 #6 (Leading whole-tone)||Brightest
+| 6<nowiki>|</nowiki>0 A4md A5md || 6<nowiki>|</nowiki>0 A4md A5md || LLLLLss || Lydian #5 #6 (Leading whole-tone) || Brightest
 |-
-| 6<nowiki>|</nowiki>0 A4md m6md||4<nowiki>|</nowiki>2 A3md A4md||LLLLssL||Lydian #5 b7 (Lydian dominant augmented), Mixolydian #5 #11||Depends on name
+| 6<nowiki>|</nowiki>0 A4md m6md || 4<nowiki>|</nowiki>2 A3md A4md || LLLLssL || Lydian #5 b7 (Lydian dominant augmented), Mixolydian #5 #11 || Depends on name
 |-
-| 6<nowiki>|</nowiki>0 m5md m6md||2<nowiki>|</nowiki>4 M2md A3md||LLLssLL||Lydian b6 b7, Mixolydian #11 #13||Depends on name
+| 6<nowiki>|</nowiki>0 m5md m6md || 2<nowiki>|</nowiki>4 M2md A3md || LLLssLL || Lydian b6 b7, Mixolydian #11 #13 || Depends on name
 |-
-| 4<nowiki>|</nowiki>2 d4md m5md||0<nowiki>|</nowiki>6 M1md M2md||LLssLLL||Locrian ♮2 ♮3 (Major locrian), Mixolydian b5 b6||Depends on name
+| 4<nowiki>|</nowiki>2 d4md m5md || 0<nowiki>|</nowiki>6 M1md M2md || LLssLLL || Locrian ♮2 ♮3 (Major locrian), Mixolydian b5 b6 || Depends on name
 |-
-| 2<nowiki>|</nowiki>4 d3md d4md||0<nowiki>|</nowiki>6 M1md d3md||LssLLLL||Locrian ♮2 b4 (Semilocrian b4)||Darkest
+| 2<nowiki>|</nowiki>4 d3md d4md || 0<nowiki>|</nowiki>6 M1md d3md || LssLLLL || Locrian ♮2 b4 (Semilocrian b4) || Darkest
 |-
-| 0<nowiki>|</nowiki>6 d2md d3md||0<nowiki>|</nowiki>6 d2md d3md||ssLLLLL||Locrian bb3 b4 (Superlocrian bb3)||Darkest
+| 0<nowiki>|</nowiki>6 d2md d3md || 0<nowiki>|</nowiki>6 d2md d3md || ssLLLLL || Locrian bb3 b4 (Superlocrian bb3) || Darkest
 |}