User:Ganaram inukshuk/Sandbox/Modmosses: Difference between revisions
m →5L 2s |
|||
(4 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= | {{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 57: | Line 137: | ||
'''Default names chosen for 5L 2s modmosses''' | '''Default names chosen for 5L 2s modmosses''' | ||
The criteria for closeness is whichever reported UDP (ignoring alterations) matches the common name. | 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" | {| class="wikitable" | ||
! colspan=" | ! colspan="5" |Modes of harmonic minor | ||
|- | |- | ||
!Step pattern | !Step pattern | ||
Line 66: | Line 146: | ||
!Darkest match | !Darkest match | ||
!Which is closer? | !Which is closer? | ||
|- | |- | ||
|LsLLsAs | |LsLLsAs | ||
Line 73: | Line 152: | ||
|<nowiki>2|4 M6md</nowiki> | |<nowiki>2|4 M6md</nowiki> | ||
|Tied | |Tied | ||
|- | |- | ||
|sLLsAsL | |sLLsAsL | ||
Line 80: | Line 158: | ||
|<nowiki>0|6 M5md</nowiki> | |<nowiki>0|6 M5md</nowiki> | ||
|Tied | |Tied | ||
|- | |- | ||
|LLsAsLs | |LLsAsLs | ||
Line 87: | Line 164: | ||
|<nowiki>5|1 A4md</nowiki> | |<nowiki>5|1 A4md</nowiki> | ||
|Tied | |Tied | ||
|- | |- | ||
|LsAsLsL | |LsAsLsL | ||
Line 94: | Line 170: | ||
|<nowiki>3|3 A3md</nowiki> | |<nowiki>3|3 A3md</nowiki> | ||
|Tied | |Tied | ||
|- | |- | ||
|sAsLsLL | |sAsLsLL | ||
Line 101: | Line 176: | ||
|<nowiki>1|5 M2md</nowiki> | |<nowiki>1|5 M2md</nowiki> | ||
|Tied | |Tied | ||
|- | |- | ||
|AsLsLLs | |AsLsLLs | ||
Line 108: | Line 182: | ||
|<nowiki>6|0 A1md</nowiki> | |<nowiki>6|0 A1md</nowiki> | ||
|Tied | |Tied | ||
|- | |- | ||
|sLsLLsA | |sLsLLsA | ||
Line 115: | Line 188: | ||
|<nowiki>0|6 d3md d6md</nowiki> | |<nowiki>0|6 d3md d6md</nowiki> | ||
|Tied | |Tied | ||
|- | |- | ||
! colspan=" | ! colspan="5" |Modes of harmonic major | ||
|- | |- | ||
!Step pattern | !Step pattern | ||
Line 124: | Line 196: | ||
!Darkest match | !Darkest match | ||
!Which is closer? | !Which is closer? | ||
|- | |- | ||
|LLsLsAs | |LLsLsAs | ||
Line 131: | Line 202: | ||
|<nowiki>5|1 m5md</nowiki> | |<nowiki>5|1 m5md</nowiki> | ||
|Tied | |Tied | ||
|- | |- | ||
|LsLsAsL | |LsLsAsL | ||
Line 138: | Line 208: | ||
|<nowiki>3|3 d4md</nowiki> | |<nowiki>3|3 d4md</nowiki> | ||
|Tied | |Tied | ||
|- | |- | ||
|sLsAsLL | |sLsAsLL | ||
Line 145: | Line 214: | ||
|<nowiki>1|5 d3md</nowiki> | |<nowiki>1|5 d3md</nowiki> | ||
|Tied | |Tied | ||
|- | |- | ||
|LsAsLLs | |LsAsLLs | ||
Line 152: | Line 220: | ||
|<nowiki>6|0 m2md</nowiki> | |<nowiki>6|0 m2md</nowiki> | ||
|Tied | |Tied | ||
|- | |- | ||
|sAsLLsL | |sAsLLsL | ||
Line 159: | Line 226: | ||
|<nowiki>4|2 m1md</nowiki> | |<nowiki>4|2 m1md</nowiki> | ||
|Tied | |Tied | ||
|- | |- | ||
|AsLLsLs | |AsLLsLs | ||
Line 166: | Line 232: | ||
|<nowiki>6|0 A1md A4md</nowiki> | |<nowiki>6|0 A1md A4md</nowiki> | ||
|Tied | |Tied | ||
|- | |- | ||
|sLLsLsA | |sLLsLsA | ||
Line 173: | Line 238: | ||
|<nowiki>0|6 d6md</nowiki> | |<nowiki>0|6 d6md</nowiki> | ||
|Tied | |Tied | ||
|- | |- | ||
! colspan=" | ! colspan="5" |Modes of harmonic minor | ||
|- | |- | ||
!Step pattern | !Step pattern | ||
Line 182: | Line 246: | ||
!Darkest match | !Darkest match | ||
!Which is closer? | !Which is closer? | ||
|- | |- | ||
|LsLLLLs | |LsLLLLs | ||
Line 189: | Line 252: | ||
|<nowiki>3|3 M6md</nowiki> | |<nowiki>3|3 M6md</nowiki> | ||
|Neither | |Neither | ||
|- | |- | ||
|sLLLLsL | |sLLLLsL | ||
Line 196: | Line 258: | ||
|<nowiki>1|5 M5md</nowiki> | |<nowiki>1|5 M5md</nowiki> | ||
|Brightest-match | |Brightest-match | ||
|- | |- | ||
|LLLLsLs | |LLLLsLs | ||
Line 203: | Line 264: | ||
|<nowiki>6|0 A4md</nowiki> | |<nowiki>6|0 A4md</nowiki> | ||
|Tied | |Tied | ||
|- | |- | ||
|LLLsLsL | |LLLsLsL | ||
Line 210: | Line 270: | ||
|<nowiki>4|2 A3md</nowiki> | |<nowiki>4|2 A3md</nowiki> | ||
|Brightest-match | |Brightest-match | ||
|- | |- | ||
|LLsLsLL | |LLsLsLL | ||
Line 217: | Line 276: | ||
|<nowiki>2|4 M2md</nowiki> | |<nowiki>2|4 M2md</nowiki> | ||
|Brightest-match | |Brightest-match | ||
|- | |- | ||
|LsLsLLL | |LsLsLLL | ||
Line 224: | Line 282: | ||
|<nowiki>0|6 M1md</nowiki> | |<nowiki>0|6 M1md</nowiki> | ||
|Darkest-match | |Darkest-match | ||
|- | |- | ||
|sLsLLLL | |sLsLLLL | ||
Line 231: | Line 288: | ||
|<nowiki>0|6 d3md</nowiki> | |<nowiki>0|6 d3md</nowiki> | ||
|Brightest-match | |Brightest-match | ||
|- | |- | ||
! colspan=" | ! colspan="5" |Modes of Neapolitan minor | ||
|- | |- | ||
!Step pattern | !Step pattern | ||
Line 240: | Line 296: | ||
!Darkest match | !Darkest match | ||
!Which is closer? | !Which is closer? | ||
|- | |- | ||
|sLLLsAs | |sLLLsAs | ||
Line 247: | Line 302: | ||
|<nowiki>1|5 M6md</nowiki> | |<nowiki>1|5 M6md</nowiki> | ||
|Tied | |Tied | ||
|- | |- | ||
|LLLsAss | |LLLsAss | ||
Line 254: | Line 308: | ||
|<nowiki>6|0 A5md</nowiki> | |<nowiki>6|0 A5md</nowiki> | ||
|Tied | |Tied | ||
|- | |- | ||
|LLsAssL | |LLsAssL | ||
Line 261: | Line 314: | ||
|<nowiki>4|2 A4md</nowiki> | |<nowiki>4|2 A4md</nowiki> | ||
|Tied | |Tied | ||
|- | |- | ||
|LsAssLL | |LsAssLL | ||
Line 268: | Line 320: | ||
|<nowiki>2|4 A3md</nowiki> | |<nowiki>2|4 A3md</nowiki> | ||
|Tied | |Tied | ||
|- | |- | ||
|sAssLLL | |sAssLLL | ||
Line 275: | Line 326: | ||
|<nowiki>0|6 M2md</nowiki> | |<nowiki>0|6 M2md</nowiki> | ||
|Tied | |Tied | ||
|- | |- | ||
|AssLLLs | |AssLLLs | ||
Line 282: | Line 332: | ||
|<nowiki>5|1 A1md</nowiki> | |<nowiki>5|1 A1md</nowiki> | ||
|Tied | |Tied | ||
|- | |- | ||
|ssLLLsA | |ssLLLsA | ||
Line 289: | Line 338: | ||
|<nowiki>0|6 d2md d3md d6md</nowiki> | |<nowiki>0|6 d2md d3md d6md</nowiki> | ||
|Tied | |Tied | ||
|- | |- | ||
! colspan=" | ! colspan="5" |Modes of Neapolitan major | ||
|- | |- | ||
!Step pattern | !Step pattern | ||
Line 298: | Line 346: | ||
!Darkest match | !Darkest match | ||
!Which is closer? | !Which is closer? | ||
|- | |- | ||
|sLLLLLs | |sLLLLLs | ||
Line 305: | Line 352: | ||
|<nowiki>1|5 M5md M6md</nowiki> | |<nowiki>1|5 M5md M6md</nowiki> | ||
|Brightest-match | |Brightest-match | ||
|- | |- | ||
|LLLLLss | |LLLLLss | ||
Line 312: | Line 358: | ||
|<nowiki>6|0 A4md A5md</nowiki> | |<nowiki>6|0 A4md A5md</nowiki> | ||
|Tied | |Tied | ||
|- | |- | ||
|LLLLssL | |LLLLssL | ||
Line 319: | Line 364: | ||
|<nowiki>4|2 A3md A4md</nowiki> | |<nowiki>4|2 A3md A4md</nowiki> | ||
|Brightest-match | |Brightest-match | ||
|- | |- | ||
|LLLssLL | |LLLssLL | ||
Line 326: | Line 370: | ||
|<nowiki>2|4 M2md A3md</nowiki> | |<nowiki>2|4 M2md A3md</nowiki> | ||
|Brightest-match | |Brightest-match | ||
|- | |- | ||
|LLssLLL | |LLssLLL | ||
Line 333: | Line 376: | ||
|<nowiki>0|6 M1md M2md</nowiki> | |<nowiki>0|6 M1md M2md</nowiki> | ||
|Brightest-match | |Brightest-match | ||
|- | |- | ||
|LssLLLL | |LssLLLL | ||
Line 340: | Line 382: | ||
|<nowiki>0|6 M1md d3md</nowiki> | |<nowiki>0|6 M1md d3md</nowiki> | ||
|Darkest-match | |Darkest-match | ||
|- | |- | ||
|ssLLLLL | |ssLLLLL | ||
Line 347: | Line 388: | ||
|<nowiki>0|6 d2md d3md</nowiki> | |<nowiki>0|6 d2md d3md</nowiki> | ||
|Tied | |Tied | ||
|- | |- | ||
! colspan=" | ! colspan="5" |Modes of double harmonic | ||
|- | |- | ||
!Step pattern | !Step pattern | ||
Line 356: | Line 396: | ||
!Darkest match | !Darkest match | ||
!Which is closer? | !Which is closer? | ||
|- | |- | ||
|sAsLsAs | |sAsLsAs | ||
|Double harmonic | |Double harmonic | ||
| | | | ||
| | | |