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User:Ganaram inukshuk/Sandbox/Modmosses

< User:Ganaram inukshuk | Sandbox
Revision as of 02:46, 20 July 2024 by Ganaram inukshuk (talk | contribs)

This page is a testing area to compare mosses and their respective modmosses.


The following function from Module:TAMNAMS is being tested here:

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 the aeolian mode (LsLLsLL with a natural 6 and 7, but can more easily reached by flattening the 3rd degree of the ionian mode. 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

Scale degrees of the modes of 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.
Scale degrees of the modes of 1L 6s (LssssLd)
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

Scale degrees of the modes of 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.
Scale degrees of the modes of 2L 5s (sLssLdL)
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.
Scale degrees of the modes of 2L 5s (ssLsLdL)
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.
Scale degrees of the modes of 2L 5s (sLssssL)
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

Scale degrees of the modes of 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

Scale degrees of the modes of 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.
Scale degrees of the modes of 4L 3s (LLssLsL)
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.
Scale degrees of the modes of 4L 3s (LLssLLs)
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

Scale degrees of the modes of 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)
  • Harmonic major (LLsLsAs)
  • Melodic minor or ionian b3 (LsLLLLs)
Scale degrees of the modes of 5L 2s (LsLLsAs)
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.


Scale degrees of the modes of 5L 2s (LLsLsAs)
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.


Scale degrees of the modes of 5L 2s (LsLLLLs)
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.

6L 1s

Scale degrees of the modes of 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.
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