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= | {{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= | {{MOS mode degrees|Scale Signature=2L 5s|MODMOS Step Pattern=SLSSLdL}} | ||
{{MOS mode degrees|Scale Signature=2L 5s|MODMOS Step Pattern= | {{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 51: | Line 131: | ||
{{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 | {{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=sLLLLLs}} | ||
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=sLLLsAs| | {{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=sLLLsAs}} | ||
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=sAsLsAs}} | |||
'''Default names chosen for 5L 2s modmosses''' | |||
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. | |||
{| class="wikitable" | |||
! colspan="5" |Modes of harmonic minor | |||
|- | |||
!Step pattern | |||
!Common name(s) | |||
!Brightest match | |||
!Darkest match | |||
!Which is closer? | |||
|- | |||
|LsLLsAs | |||
|Harmonic minor | |||
|<nowiki>2|4 M6md</nowiki> | |||
|<nowiki>2|4 M6md</nowiki> | |||
|Tied | |||
|- | |||
|sLLsAsL | |||
|Locrian ♮6 | |||
|<nowiki>0|6 M5md</nowiki> | |||
|<nowiki>0|6 M5md</nowiki> | |||
|Tied | |||
|- | |||
|LLsAsLs | |||
|Ionian augmented | |||
|<nowiki>5|1 A4md</nowiki> | |||
|<nowiki>5|1 A4md</nowiki> | |||
|Tied | |||
|- | |||
|LsAsLsL | |||
|Dorian #4 | |||
|<nowiki>3|3 A3md</nowiki> | |||
|<nowiki>3|3 A3md</nowiki> | |||
|Tied | |||
|- | |||
|sAsLsLL | |||
|Phrygian dominant | |||
|<nowiki>1|5 M2md</nowiki> | |||
|<nowiki>1|5 M2md</nowiki> | |||
|Tied | |||
|- | |||
|AsLsLLs | |||
|Lydian #2 | |||
|<nowiki>6|0 A1md</nowiki> | |||
|<nowiki>6|0 A1md</nowiki> | |||
|Tied | |||
|- | |||
|sLsLLsA | |||
|Altered diminished | |||
|<nowiki>0|6 d3md d6md</nowiki> | |||
|<nowiki>0|6 d3md d6md</nowiki> | |||
|Tied | |||
|- | |||
! colspan="5" |Modes of harmonic major | |||
|- | |||
!Step pattern | |||
!Common name(s) | |||
!Brightest match | |||
!Darkest match | |||
!Which is closer? | |||
|- | |||
|LLsLsAs | |||
|Harmonic major | |||
|<nowiki>5|1 m5md</nowiki> | |||
|<nowiki>5|1 m5md</nowiki> | |||
|Tied | |||
|- | |||
|LsLsAsL | |||
|Dorian b5 | |||
|<nowiki>3|3 d4md</nowiki> | |||
|<nowiki>3|3 d4md</nowiki> | |||
|Tied | |||
|- | |||
|sLsAsLL | |||
|Phrygian b4 | |||
|<nowiki>1|5 d3md</nowiki> | |||
|<nowiki>1|5 d3md</nowiki> | |||
|Tied | |||
|- | |||
|LsAsLLs | |||
|Lydian b3 | |||
|<nowiki>6|0 m2md</nowiki> | |||
|<nowiki>6|0 m2md</nowiki> | |||
|Tied | |||
|- | |||
|sAsLLsL | |||
|Mixolydian b2 | |||
|<nowiki>4|2 m1md</nowiki> | |||
|<nowiki>4|2 m1md</nowiki> | |||
|Tied | |||
|- | |||
|AsLLsLs | |||
|Lydian augmented #2 | |||
|<nowiki>6|0 A1md A4md</nowiki> | |||
|<nowiki>6|0 A1md A4md</nowiki> | |||
|Tied | |||
|- | |||
|sLLsLsA | |||
|Locrian bb7 | |||
|<nowiki>0|6 d6md</nowiki> | |||
|<nowiki>0|6 d6md</nowiki> | |||
|Tied | |||
|- | |||
! colspan="5" |Modes of harmonic minor | |||
|- | |||
!Step pattern | |||
!Common name(s) | |||
!Brightest match | |||
!Darkest match | |||
!Which is closer? | |||
|- | |||
|LsLLLLs | |||
|Melodic minor | |||
|<nowiki>5|1 m2md</nowiki> | |||
|<nowiki>3|3 M6md</nowiki> | |||
|Neither | |||
|- | |||
|sLLLLsL | |||
|Dorian b2 | |||
|<nowiki>3|3 m1md</nowiki> | |||
|<nowiki>1|5 M5md</nowiki> | |||
|Brightest-match | |||
|- | |||
|LLLLsLs | |||
|Lydian augmented | |||
|<nowiki>6|0 A4md</nowiki> | |||
|<nowiki>6|0 A4md</nowiki> | |||
|Tied | |||
|- | |||
|LLLsLsL | |||
|Lydian dominant | |||
|<nowiki>6|0 m6md</nowiki> | |||
|<nowiki>4|2 A3md</nowiki> | |||
|Brightest-match | |||
|- | |||
|LLsLsLL | |||
|Mixolydian b6 | |||
|<nowiki>4|2 m5md</nowiki> | |||
|<nowiki>2|4 M2md</nowiki> | |||
|Brightest-match | |||
|- | |||
|LsLsLLL | |||
|Locrian ♮2 | |||
|<nowiki>2|4 d4md</nowiki> | |||
|<nowiki>0|6 M1md</nowiki> | |||
|Darkest-match | |||
|- | |||
|sLsLLLL | |||
|Altered | |||
|<nowiki>0|6 d3md</nowiki> | |||
|<nowiki>0|6 d3md</nowiki> | |||
|Brightest-match | |||
|- | |||
! 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 | |||
!Common name(s) | |||
!Brightest match | |||
!Darkest match | |||
!Which is closer? | |||
|- | |||
|sLLLLLs | |||
|Neapolitan major | |||
|<nowiki>5|1 m1md m2md</nowiki> | |||
|<nowiki>1|5 M5md M6md</nowiki> | |||
|Brightest-match | |||
|- | |||
|LLLLLss | |||
|Lydian augmented #6 | |||
|<nowiki>6|0 A4md A5md</nowiki> | |||
|<nowiki>6|0 A4md A5md</nowiki> | |||
|Tied | |||
|- | |||
|LLLLssL | |||
|Lydian augmented dominant | |||
|<nowiki>6|0 A4md m6md</nowiki> | |||
|<nowiki>4|2 A3md A4md</nowiki> | |||
|Brightest-match | |||
|- | |||
|LLLssLL | |||
|Lydian dominant b6 | |||
|<nowiki>6|0 m5md m6md</nowiki> | |||
|<nowiki>2|4 M2md A3md</nowiki> | |||
|Brightest-match | |||
|- | |||
|LLssLLL | |||
|Major locrian | |||
|<nowiki>4|2 d4md m5md</nowiki> | |||
|<nowiki>0|6 M1md M2md</nowiki> | |||
|Brightest-match | |||
|- | |||
|LssLLLL | |||
|Altered dominant #2 | |||
|<nowiki>2|4 d3md d4md</nowiki> | |||
|<nowiki>0|6 M1md d3md</nowiki> | |||
|Darkest-match | |||
|- | |||
|ssLLLLL | |||
|Altered dominant bb3 | |||
|<nowiki>0|6 d2md d3md</nowiki> | |||
|<nowiki>0|6 d2md d3md</nowiki> | |||
|Tied | |||
|- | |||
! colspan="5" |Modes of double harmonic | |||
|- | |||
!Step pattern | |||
!Common name(s) | |||
!Brightest match | |||
!Darkest match | |||
!Which is closer? | |||
|- | |||
|sAsLsAs | |||
|Double harmonic | |||
| | |||
| | |||
| | |||
|} | |||
== 6L 1s == | == 6L 1s == | ||
{{MOS mode degrees|Scale Signature=6L 1s}} | {{MOS mode degrees|Scale Signature=6L 1s}} | ||