User:Ganaram inukshuk/Sandbox/Modmosses
This page is a testing area for the following function from Module:TAMNAMS:
function p.mode_udp(input_mode, input_mos, mos_abbrev)
The function works as follows: given an arbitrary input_mode for an input_mos, find the closest true-mos mode and list the altered scale degrees (alterations) needed to produce that mode. The closest true-mos mode is the mode that requires the fewest alterations to produce the input_mode. If more than one true-mos modes satisfy this condition, then the brightest of those modes is chosen to break the tie.
What's being tested is whether there are any cases in which the tiebreaker of using the brightest mode is not ideal. One notable example of this is melodic minor (step pattern LsLLLLs). This mode is aeolian natural-6 natural-7, but also ionian b3. This is considered a non-issue since ionian b3 is considered an alternate name for melodic minor.
Modmosses shown here are chosen for testing purposes and may not correspond to actual scales used in practice.
1L 6s
UDP | Cyclic order |
Step pattern |
Scale degree (ondegree) | |||||||
---|---|---|---|---|---|---|---|---|---|---|
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |||
6|0 | 1 | Lssssss | Perf. | Aug. | Maj. | Maj. | Maj. | Maj. | Perf. | Perf. |
5|1 | 7 | sLsssss | Perf. | Perf. | Maj. | Maj. | Maj. | Maj. | Perf. | Perf. |
4|2 | 6 | ssLssss | Perf. | Perf. | Min. | Maj. | Maj. | Maj. | Perf. | Perf. |
3|3 | 5 | sssLsss | Perf. | Perf. | Min. | Min. | Maj. | Maj. | Perf. | Perf. |
2|4 | 4 | ssssLss | Perf. | Perf. | Min. | Min. | Min. | Maj. | Perf. | Perf. |
1|5 | 3 | sssssLs | Perf. | Perf. | Min. | Min. | Min. | Min. | Perf. | Perf. |
0|6 | 2 | ssssssL | Perf. | Perf. | Min. | Min. | Min. | Min. | Dim. | Perf. |
Modmosses chosen:
- LssssLd - Lssssss, but with a raised 6-degree.
UDP and alterations |
Cyclic order |
Step pattern |
Scale degree (ondegree) | |||||||
---|---|---|---|---|---|---|---|---|---|---|
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |||
6|0 A6md | 1 | LssssLd | Perf. | Aug. | Maj. | Maj. | Maj. | Maj. | Aug. | Perf. |
2|4 d6md 0|6 M5md |
2 | ssssLdL | Perf. | Perf. | Min. | Min. | Min. | Maj. | Dim. | Perf. |
3|3 m5md 1|5 M4md |
3 | sssLdLs | Perf. | Perf. | Min. | Min. | Maj. | Min. | Perf. | Perf. |
4|2 m4md 2|4 M3md |
4 | ssLdLss | Perf. | Perf. | Min. | Maj. | Min. | Maj. | Perf. | Perf. |
5|1 m3md 3|3 M2md |
5 | sLdLsss | Perf. | Perf. | Maj. | Min. | Maj. | Maj. | Perf. | Perf. |
6|0 m2md 4|2 A1md |
6 | LdLssss | Perf. | Aug. | Min. | Maj. | Maj. | Maj. | Perf. | Perf. |
0|6 d1md | 7 | dLssssL | Perf. | Dim. | Min. | Min. | Min. | Min. | Dim. | Perf. |
2L 5s
UDP | Cyclic order |
Step pattern |
Scale degree (peldegree) | |||||||
---|---|---|---|---|---|---|---|---|---|---|
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |||
6|0 | 1 | LssLsss | Perf. | Maj. | Maj. | Perf. | Aug. | Maj. | Maj. | Perf. |
5|1 | 4 | LsssLss | Perf. | Maj. | Maj. | Perf. | Perf. | Maj. | Maj. | Perf. |
4|2 | 7 | sLssLss | Perf. | Min. | Maj. | Perf. | Perf. | Maj. | Maj. | Perf. |
3|3 | 3 | sLsssLs | Perf. | Min. | Maj. | Perf. | Perf. | Min. | Maj. | Perf. |
2|4 | 6 | ssLssLs | Perf. | Min. | Min. | Perf. | Perf. | Min. | Maj. | Perf. |
1|5 | 2 | ssLsssL | Perf. | Min. | Min. | Perf. | Perf. | Min. | Min. | Perf. |
0|6 | 5 | sssLssL | Perf. | Min. | Min. | Dim. | Perf. | Min. | Min. | Perf. |
Modmosses chosen
- sLssLdL - The "sister" of LsLLsAs, 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.
UDP and alterations |
Cyclic order |
Step pattern |
Scale degree (peldegree) | |||||||
---|---|---|---|---|---|---|---|---|---|---|
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |||
4|2 m6md | 1 | sLssLdL | Perf. | Min. | Maj. | Perf. | Perf. | Maj. | Min. | Perf. |
6|0 m5md | 2 | LssLdLs | Perf. | Maj. | Maj. | Perf. | Aug. | Min. | Maj. | Perf. |
1|5 d4md | 3 | ssLdLsL | Perf. | Min. | Min. | Perf. | Dim. | Min. | Min. | Perf. |
3|3 d3md | 4 | sLdLsLs | Perf. | Min. | Maj. | Dim. | Perf. | Min. | Maj. | Perf. |
5|1 m2md | 5 | LdLsLss | Perf. | Maj. | Min. | Perf. | Perf. | Maj. | Maj. | Perf. |
0|6 d1md | 6 | dLsLssL | Perf. | Dim. | Min. | Dim. | Perf. | Min. | Min. | Perf. |
6|0 A3md A6md | 7 | LsLssLd | Perf. | Maj. | Maj. | Aug. | Aug. | Maj. | Aug. | Perf. |
UDP and alterations |
Cyclic order |
Step pattern |
Scale degree (peldegree) | |||||||
---|---|---|---|---|---|---|---|---|---|---|
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |||
1|5 M5md | 1 | ssLsLdL | Perf. | Min. | Min. | Perf. | Perf. | Maj. | Min. | Perf. |
3|3 A4md | 2 | sLsLdLs | Perf. | Min. | Maj. | Perf. | Aug. | Min. | Maj. | Perf. |
5|1 A3md | 3 | LsLdLss | Perf. | Maj. | Maj. | Aug. | Perf. | Maj. | Maj. | Perf. |
0|6 M2md | 4 | sLdLssL | Perf. | Min. | Maj. | Dim. | Perf. | Min. | Min. | Perf. |
2|4 M1md | 5 | LdLssLs | Perf. | Maj. | Min. | Perf. | Perf. | Min. | Maj. | Perf. |
0|6 d1md d4md | 6 | dLssLsL | Perf. | Dim. | Min. | Dim. | Dim. | Min. | Min. | Perf. |
6|0 A6md | 7 | LssLsLd | Perf. | Maj. | Maj. | Perf. | Aug. | Maj. | Aug. | Perf. |
UDP and alterations |
Cyclic order |
Step pattern |
Scale degree (peldegree) | |||||||
---|---|---|---|---|---|---|---|---|---|---|
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |||
3|3 m6md 1|5 M2md |
1 | sLssssL | Perf. | Min. | Maj. | Perf. | Perf. | Min. | Min. | Perf. |
5|1 m5md 3|3 M1md |
2 | LssssLs | Perf. | Maj. | Maj. | Perf. | Perf. | Min. | Maj. | Perf. |
0|6 d4md | 3 | ssssLsL | Perf. | Min. | Min. | Dim. | Dim. | Min. | Min. | Perf. |
2|4 d3md 0|6 M6md |
4 | sssLsLs | Perf. | Min. | Min. | Dim. | Perf. | Min. | Maj. | Perf. |
4|2 m2md 2|4 M5md |
5 | ssLsLss | Perf. | Min. | Min. | Perf. | Perf. | Maj. | Maj. | Perf. |
6|0 m1md 4|2 A4md |
6 | sLsLsss | Perf. | Min. | Maj. | Perf. | Aug. | Maj. | Maj. | Perf. |
6|0 A3md | 7 | LsLssss | Perf. | Maj. | Maj. | Aug. | Aug. | Maj. | Maj. | Perf. |
3L 4s
UDP | Cyclic order |
Step pattern |
Scale degree (moshdegree) | |||||||
---|---|---|---|---|---|---|---|---|---|---|
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |||
6|0 | 1 | LsLsLss | Perf. | Maj. | Perf. | Maj. | Maj. | Aug. | Maj. | Perf. |
5|1 | 3 | LsLssLs | Perf. | Maj. | Perf. | Maj. | Maj. | Perf. | Maj. | Perf. |
4|2 | 5 | LssLsLs | Perf. | Maj. | Perf. | Min. | Maj. | Perf. | Maj. | Perf. |
3|3 | 7 | sLsLsLs | Perf. | Min. | Perf. | Min. | Maj. | Perf. | Maj. | Perf. |
2|4 | 2 | sLsLssL | Perf. | Min. | Perf. | Min. | Maj. | Perf. | Min. | Perf. |
1|5 | 4 | sLssLsL | Perf. | Min. | Perf. | Min. | Min. | Perf. | Min. | Perf. |
0|6 | 6 | ssLsLsL | Perf. | Min. | Dim. | Min. | Min. | Perf. | Min. | Perf. |
4L 3s
UDP | Cyclic order |
Step pattern |
Scale degree (smidegree) | |||||||
---|---|---|---|---|---|---|---|---|---|---|
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |||
6|0 | 1 | LLsLsLs | Perf. | Maj. | Aug. | Maj. | Maj. | Perf. | Maj. | Perf. |
5|1 | 6 | LsLLsLs | Perf. | Maj. | Perf. | Maj. | Maj. | Perf. | Maj. | Perf. |
4|2 | 4 | LsLsLLs | Perf. | Maj. | Perf. | Maj. | Min. | Perf. | Maj. | Perf. |
3|3 | 2 | LsLsLsL | Perf. | Maj. | Perf. | Maj. | Min. | Perf. | Min. | Perf. |
2|4 | 7 | sLLsLsL | Perf. | Min. | Perf. | Maj. | Min. | Perf. | Min. | Perf. |
1|5 | 5 | sLsLLsL | Perf. | Min. | Perf. | Min. | Min. | Perf. | Min. | Perf. |
0|6 | 3 | sLsLsLL | Perf. | Min. | Perf. | Min. | Min. | Dim. | Min. | Perf. |
Modmosses chosen:
- 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.
UDP and alterations |
Cyclic order |
Step pattern |
Scale degree (smidegree) | |||||||
---|---|---|---|---|---|---|---|---|---|---|
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |||
3|3 A2md | 1 | LLssLsL | Perf. | Maj. | Aug. | Maj. | Min. | Perf. | Min. | Perf. |
0|6 M1md | 2 | LssLsLL | Perf. | Maj. | Perf. | Min. | Min. | Dim. | Min. | Perf. |
0|6 d2md d4md | 3 | ssLsLLL | Perf. | Min. | Dim. | Min. | Dim. | Dim. | Min. | Perf. |
1|5 M6md | 4 | sLsLLLs | Perf. | Min. | Perf. | Min. | Min. | Perf. | Maj. | Perf. |
5|1 A5md | 5 | LsLLLss | Perf. | Maj. | Perf. | Maj. | Maj. | Aug. | Maj. | Perf. |
2|4 M4md | 6 | sLLLssL | Perf. | Min. | Perf. | Maj. | Maj. | Perf. | Min. | Perf. |
6|0 A3md | 7 | LLLssLs | Perf. | Maj. | Aug. | Aug. | Maj. | Perf. | Maj. | Perf. |
UDP and alterations |
Cyclic order |
Step pattern |
Scale degree (smidegree) | |||||||
---|---|---|---|---|---|---|---|---|---|---|
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |||
6|0 m4md 4|2 A2md |
1 | LLssLLs | Perf. | Maj. | Aug. | Maj. | Min. | Perf. | Maj. | Perf. |
3|3 m3md 1|5 M1md |
2 | LssLLsL | Perf. | Maj. | Perf. | Min. | Min. | Perf. | Min. | Perf. |
0|6 d2md | 3 | ssLLsLL | Perf. | Min. | Dim. | Min. | Min. | Dim. | Min. | Perf. |
4|2 m1md 2|4 M6md |
4 | sLLsLLs | Perf. | Min. | Perf. | Maj. | Min. | Perf. | Maj. | Perf. |
6|0 A5md | 5 | LLsLLss | Perf. | Maj. | Aug. | Maj. | Maj. | Aug. | Maj. | Perf. |
5|1 m6md 3|3 M4md |
6 | LsLLssL | Perf. | Maj. | Perf. | Maj. | Maj. | Perf. | Min. | Perf. |
2|4 d5md 0|6 M3md |
7 | sLLssLL | Perf. | Min. | Perf. | Maj. | Min. | Dim. | Min. | Perf. |
5L 2s
UDP | Cyclic order |
Step pattern |
Scale degree (diadegree) | |||||||
---|---|---|---|---|---|---|---|---|---|---|
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |||
6|0 | 1 | LLLsLLs | Perf. | Maj. | Maj. | Aug. | Perf. | Maj. | Maj. | Perf. |
5|1 | 5 | LLsLLLs | Perf. | Maj. | Maj. | Perf. | Perf. | Maj. | Maj. | Perf. |
4|2 | 2 | LLsLLsL | Perf. | Maj. | Maj. | Perf. | Perf. | Maj. | Min. | Perf. |
3|3 | 6 | LsLLLsL | Perf. | Maj. | Min. | Perf. | Perf. | Maj. | Min. | Perf. |
2|4 | 3 | LsLLsLL | Perf. | Maj. | Min. | Perf. | Perf. | Min. | Min. | Perf. |
1|5 | 7 | sLLLsLL | Perf. | Min. | Min. | Perf. | Perf. | Min. | Min. | Perf. |
0|6 | 4 | sLLsLLL | Perf. | Min. | Min. | Perf. | Dim. | Min. | Min. | Perf. |
Modmosses chosen
- Harmonic minor (LsLLsAs); names provided by module
- Harmonic major (LLsLsAs); names provided by module
- Melodic minor or ionian b3 (LsLLLLs); names provided by module
- Neapolitan major (sLLLLLs); attested names added for comparison
- Neapolitan minor (sLLLsAs); attested names added for comparison
UDP and alterations |
Cyclic order |
Step pattern |
Scale degree (diadegree) | |||||||
---|---|---|---|---|---|---|---|---|---|---|
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |||
2|4 M6md | 1 | LsLLsAs | Perf. | Maj. | Min. | Perf. | Perf. | Min. | Maj. | Perf. |
0|6 M5md | 2 | sLLsAsL | Perf. | Min. | Min. | Perf. | Dim. | Maj. | Min. | Perf. |
5|1 A4md | 3 | LLsAsLs | Perf. | Maj. | Maj. | Perf. | Aug. | Maj. | Maj. | Perf. |
3|3 A3md | 4 | LsAsLsL | Perf. | Maj. | Min. | Aug. | Perf. | Maj. | Min. | Perf. |
1|5 M2md | 5 | sAsLsLL | Perf. | Min. | Maj. | Perf. | Perf. | Min. | Min. | Perf. |
6|0 A1md | 6 | AsLsLLs | Perf. | Aug. | Maj. | Aug. | Perf. | Maj. | Maj. | Perf. |
0|6 d3md d6md | 7 | sLsLLsA | Perf. | Min. | Min. | Dim. | Dim. | Min. | Dim. | Perf. |
UDP and alterations |
Cyclic order |
Step pattern |
Scale degree (diadegree) | |||||||
---|---|---|---|---|---|---|---|---|---|---|
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |||
5|1 m5md | 1 | LLsLsAs | Perf. | Maj. | Maj. | Perf. | Perf. | Min. | Maj. | Perf. |
3|3 d4md | 2 | LsLsAsL | Perf. | Maj. | Min. | Perf. | Dim. | Maj. | Min. | Perf. |
1|5 d3md | 3 | sLsAsLL | Perf. | Min. | Min. | Dim. | Perf. | Min. | Min. | Perf. |
6|0 m2md | 4 | LsAsLLs | Perf. | Maj. | Min. | Aug. | Perf. | Maj. | Maj. | Perf. |
4|2 m1md | 5 | sAsLLsL | Perf. | Min. | Maj. | Perf. | Perf. | Maj. | Min. | Perf. |
6|0 A1md A4md | 6 | AsLLsLs | Perf. | Aug. | Maj. | Aug. | Aug. | Maj. | Maj. | Perf. |
0|6 d6md | 7 | sLLsLsA | Perf. | Min. | Min. | Perf. | Dim. | Min. | Dim. | Perf. |
UDP and alterations |
Cyclic order |
Step pattern |
Scale degree (diadegree) | |||||||
---|---|---|---|---|---|---|---|---|---|---|
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |||
5|1 m2md 3|3 M6md |
1 | LsLLLLs | Perf. | Maj. | Min. | Perf. | Perf. | Maj. | Maj. | Perf. |
3|3 m1md 1|5 M5md |
2 | sLLLLsL | Perf. | Min. | Min. | Perf. | Perf. | Maj. | Min. | Perf. |
6|0 A4md | 3 | LLLLsLs | Perf. | Maj. | Maj. | Aug. | Aug. | Maj. | Maj. | Perf. |
6|0 m6md 4|2 A3md |
4 | LLLsLsL | Perf. | Maj. | Maj. | Aug. | Perf. | Maj. | Min. | Perf. |
4|2 m5md 2|4 M2md |
5 | LLsLsLL | Perf. | Maj. | Maj. | Perf. | Perf. | Min. | Min. | Perf. |
2|4 d4md 0|6 M1md |
6 | LsLsLLL | Perf. | Maj. | Min. | Perf. | Dim. | Min. | Min. | Perf. |
0|6 d3md | 7 | sLsLLLL | Perf. | Min. | Min. | Dim. | Dim. | Min. | Min. | Perf. |
UDP and alterations |
Cyclic order |
Step pattern |
Scale degree (diadegree) | |||||||
---|---|---|---|---|---|---|---|---|---|---|
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |||
5|1 m1md m2md 1|5 M5md M6md |
1 | sLLLLLs | Perf. | Min. | Min. | Perf. | Perf. | Maj. | Maj. | Perf. |
6|0 A4md A5md | 2 | LLLLLss | Perf. | Maj. | Maj. | Aug. | Aug. | Aug. | Maj. | Perf. |
6|0 A4md m6md 4|2 A3md A4md |
3 | LLLLssL | Perf. | Maj. | Maj. | Aug. | Aug. | Maj. | Min. | Perf. |
6|0 m5md m6md 2|4 M2md A3md |
4 | LLLssLL | Perf. | Maj. | Maj. | Aug. | Perf. | Min. | Min. | Perf. |
4|2 d4md m5md 0|6 M1md M2md |
5 | LLssLLL | Perf. | Maj. | Maj. | Perf. | Dim. | Min. | Min. | Perf. |
2|4 d3md d4md 0|6 M1md d3md |
6 | LssLLLL | Perf. | Maj. | Min. | Dim. | Dim. | Min. | Min. | Perf. |
0|6 d2md d3md | 7 | ssLLLLL | Perf. | Min. | Dim. | Dim. | Dim. | Min. | Min. | Perf. |
UDP and alterations |
Cyclic order |
Step pattern |
Scale degree (diadegree) | |||||||
---|---|---|---|---|---|---|---|---|---|---|
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |||
1|5 M6md | 1 | sLLLsAs | Perf. | Min. | Min. | Perf. | Perf. | Min. | Maj. | Perf. |
6|0 A5md | 2 | LLLsAss | Perf. | Maj. | Maj. | Aug. | Perf. | Aug. | Maj. | Perf. |
4|2 A4md | 3 | LLsAssL | Perf. | Maj. | Maj. | Perf. | Aug. | Maj. | Min. | Perf. |
2|4 A3md | 4 | LsAssLL | Perf. | Maj. | Min. | Aug. | Perf. | Min. | Min. | Perf. |
0|6 M2md | 5 | sAssLLL | Perf. | Min. | Maj. | Perf. | Dim. | Min. | Min. | Perf. |
5|1 A1md | 6 | AssLLLs | Perf. | Aug. | Maj. | Perf. | Perf. | Maj. | Maj. | Perf. |
0|6 d2md d3md d6md | 7 | ssLLLsA | Perf. | Min. | Dim. | Dim. | Dim. | Min. | Dim. | Perf. |
Modes whose attested names don't match the given UDP:
- LsLLLLs: Ionian b3 or melodic minor; non-issue since both names are valid.
- 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
Modes of harmonic minor | |||||||
---|---|---|---|---|---|---|---|
Step pattern | Common or attested names | Brightest mode as tiebreaker | Darkest mode as tiebreaker | Same UDP? | Which is closer? | Alternative or unambiguous name(s) | Default names chosen |
LsLLsAs | Harmonic minor | 2|4 M6md | 2|4 M6md | Yes | Tied | Aeolian ♮7 | Aeolian ♮7 (Harmonic minor) |
sLLsAsL | Locrian ♮6 | 0|6 M5md | 0|6 M5md | Yes | Tied | Locrian ♮6 | |
LLsAsLs | Ionian augmented | 5|1 A4md | 5|1 A4md | Yes | Tied | Ionian #5 | Ionian #5 (Ionian augmented) |
LsAsLsL | Dorian #4 | 3|3 A3md | 3|3 A3md | Yes | Tied | Dorian #4 | |
sAsLsLL | Phrygian dominant | 1|5 M2md | 1|5 M2md | Yes | Tied | Phrygian #3 | Phrygian #3 (Phrygian dominant) |
AsLsLLs | Lydian #2 | 6|0 A1md | 6|0 A1md | Yes | Tied | Lydian #2 | |
sLsLLsA | Altered diminished | 0|6 d3md d6md | 0|6 d3md d6md | Yes | Tied | Locrian b4 bb7 (Altered diminished) | |
Modes of harmonic major | |||||||
Step pattern | Common or attested names | Brightest mode as tiebreaker | Darkest mode as tiebreaker | Same UDP? | Which is closer? | Alternative or unambiguous name(s) | Default names chosen |
LLsLsAs | Harmonic major | 5|1 m5md | 5|1 m5md | Yes | Tied | Ionian b6 (Harmonic major) | |
LsLsAsL | Dorian b5 | 3|3 d4md | 3|3 d4md | Yes | Tied | Dorian b5 | |
sLsAsLL | Phrygian b4 | 1|5 d3md | 1|5 d3md | Yes | Tied | Phrygian b4 | |
LsAsLLs | Lydian b3 | 6|0 m2md | 6|0 m2md | Yes | Tied | Lydian b3 | |
sAsLLsL | Mixolydian b2 | 4|2 m1md | 4|2 m1md | Yes | Tied | Mixolydian b2 | |
AsLLsLs | Lydian augmented #2 | 6|0 A1md A4md | 6|0 A1md A4md | Yes | Tied | Lydian #2 #5 | Lydian #2 #5 (Lydian augmented #2) |
sLLsLsA | Locrian bb7 | 0|6 d6md | 0|6 d6md | Yes | Tied | Locrian bb7 | |
Modes of harmonic minor | |||||||
Step pattern | Common or attested names | Brightest mode as tiebreaker | Darkest mode as tiebreaker | Same UDP? | Which is closer? | Alternative or unambiguous name(s) | Default names chosen |
LsLLLLs | Melodic minor | 5|1 m2md | 3|3 M6md | No | Tied | Ionian b3 (Melodic minor) | |
sLLLLsL | Dorian b2 | 3|3 m1md | 1|5 M5md | No | Brightest-match | Dorian b2 | |
LLLLsLs | Lydian augmented | 6|0 A4md | 6|0 A4md | Yes | Tied | Lydian #5 | Lydian #5 (Lydian augmented) |
LLLsLsL | Lydian dominant | 6|0 m6md | 4|2 A3md | No | Brightest-match | Lydian b7 | Lydian b7 (Lydian dominant) |
LLsLsLL | Mixolydian b6 | 4|2 m5md | 2|4 M2md | No | Brightest-match | Mixolydian b6 | |
LsLsLLL | Locrian ♮2 | 2|4 d4md | 0|6 M1md | No | Darkest-match | Aeolian b5, Locrian ♮2 | Aeolian b5 (Half-diminished) |
sLsLLLL | Altered | 0|6 d3md | 0|6 d3md | Yes | Brightest-match | Locrian b4 | Locrian b4 (Altered) |
Modes of Neapolitan major | |||||||
Step pattern | Common or attested names | Brightest mode as tiebreaker | Darkest mode as tiebreaker | Same UDP? | Which is closer? | Alternative or unambiguous name(s) | Default names chosen |
sLLLLLs | Neapolitan major | 5|1 m1md m2md | 1|5 M5md M6md | No | Brightest-match | Ionian b2 b3, Phrygian ♮6 ♮7 | Ionian b2 b3 (Neapolitan major) |
LLLLLss | Lydian augmented #6 | 6|0 A4md A5md | 6|0 A4md A5md | Yes | Tied | Lydian #5 #6 | Lydian #5 #6 (Lydian augmented #6) |
LLLLssL | Lydian augmented dominant | 6|0 A4md m6md | 4|2 A3md A4md | No | Brightest-match | Lydian #5 b7 | Lydian #5 b7 (Lydian augmented dominant) |
LLLssLL | Lydian dominant b6 | 6|0 m5md m6md | 2|4 M2md A3md | No | Brightest-match | Lydian b6 b7 | Lydian b6 b7 (Lydian minor) |
LLssLLL | Major locrian | 4|2 d4md m5md | 0|6 M1md M2md | No | Brightest-match | Mixolydian b5 b6, Locrian ♮2 ♮3 | Mixolydian b5 b6 (Major Locrian) |
LssLLLL | Altered dominant #2 | 2|4 d3md d4md | 0|6 M1md d3md | No | Darkest-match | Aeolian b4 b5, Locrian ♮2 b4 | Aeolian b4 b5 (Altered dominant ♮2) |
ssLLLLL | Altered dominant bb3 | 0|6 d2md d3md | 0|6 d2md d3md | Yes | Tied | Locrian bb3 b4 (Altered dominant bb3) | |
Modes of Neapolitan minor | |||||||
Step pattern | Common or attested names | Brightest mode as tiebreaker | Darkest mode as tiebreaker | Same UDP? | Which is closer? | Alternative or unambiguous name(s) | Default names chosen |
sLLLsAs | Neapolitan minor | 1|5 M6md | 1|5 M6md | Yes | Tied | Phrygian ♮7 | Phrygian ♮7 (Neapolitan minor) |
LLLsAss | Lydian #6 | 6|0 A5md | 6|0 A5md | Yes | Tied | Lydian #6 | |
LLsAssL | Mixolydian augmented | 4|2 A4md | 4|2 A4md | Yes | Tied | Mixolydian #5 | Mixolydian #5 (Mixolydian augmented) |
LsAssLL | Aeolian #4 | 2|4 A3md | 2|4 A3md | Yes | Tied | Aeolian #4 | |
sAssLLL | Locrian dominant | 0|6 M2md | 0|6 M2md | Yes | Tied | Locrian ♮3 | Locrian ♮3 (Locrian dominant) |
AssLLLs | Ionian #2 | 5|1 A1md | 5|1 A1md | Yes | Tied | Ionian #2 | |
ssLLLsA | Altered diminished bb3 | 0|6 d2md d3md d6md | 0|6 d2md d3md d6md | Yes | Tied | Locrian bb3 b4 bb7 | Locrian bb3 b4 bb7 (Altered diminished bb3) |
6L 1s
UDP | Cyclic order |
Step pattern |
Scale degree (archdegree) | |||||||
---|---|---|---|---|---|---|---|---|---|---|
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |||
6|0 | 1 | LLLLLLs | Perf. | Perf. | Maj. | Maj. | Maj. | Maj. | Aug. | Perf. |
5|1 | 2 | LLLLLsL | Perf. | Perf. | Maj. | Maj. | Maj. | Maj. | Perf. | Perf. |
4|2 | 3 | LLLLsLL | Perf. | Perf. | Maj. | Maj. | Maj. | Min. | Perf. | Perf. |
3|3 | 4 | LLLsLLL | Perf. | Perf. | Maj. | Maj. | Min. | Min. | Perf. | Perf. |
2|4 | 5 | LLsLLLL | Perf. | Perf. | Maj. | Min. | Min. | Min. | Perf. | Perf. |
1|5 | 6 | LsLLLLL | Perf. | Perf. | Min. | Min. | Min. | Min. | Perf. | Perf. |
0|6 | 7 | sLLLLLL | Perf. | Dim. | Min. | Min. | Min. | Min. | Perf. | Perf. |