Miracle 10 MODMOS: Difference between revisions

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Added section on tonal modes
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The generator chain sequences ###...####...###, #####..####....##, and ##....####..##### give the best scales in the opinion of the author.
 
The generator chain sequences ###...####...###, ####..####....##, and ##....####..#### give the best scales in the opinion of the author.
 
== Tonal modes: ==
A tonal mode is a mode with major or minor triads on 1/1 and 4/3 and/or 3/2, (and with at least 2 major triads and 2 minor triads)
 
Of all above scales, only the following modes are tonal:
 
=== Major with minor subdominant ===
 
==== ###..#####...## (2 major, 2 minor, 1 augmented, 1 neutral, 4 wolves) ====
2|7 ♯4 ♯5 ssLsdssLss 16/15 8/7 5/4 4/3 7/5 3/2 8/5 7/4 15/8 2/1
 
==== ##..#####...### (2 major, 2 minor, 1 augmented, 1 neutral, 4 wolves) ====
7|2 ♭7 ♭8 ssLssdsLss 16/15 8/7 5/4 4/3 10/7 3/2 8/5 7/4 15/8 2/1
 
==== ####..####....## (2 major, 2 minor, 2 augmented, 2 neutral, 2 wolves) ====
1|8 ♯4 ♯5 ssLsdsssLs 16/15 8/7 5/4 4/3 7/5 3/2 8/5 12/7 15/8 2/1
 
==== ##....####..#### (2 major, 2 minor, 2 augmented, 2 neutral, 2 wolves) ====
8|1 ♭7 ♭8 sLsssdsLss 16/15 7/6 5/4 4/3 10/7 3/2 8/5 7/4 15/8 2/1
 
==== ###...####...### (3 major, 3 minor, 2 augmented, 2 wolves) ====
2|7 ♯3 ♯4 ♯5 or 8|1 ♭6 ♭7 ♭8 sLssdssLss 16/15 7/6 5/4 4/3 7/5 3/2 8/5 7/4 15/8 2/1
 
1|8 ♯4 ♯5 ♯6 or 7|2 ♭7 ♭8 ♭9 and ssLssdssLs 16/15 8/7 5/4 4/3 10/7 3/2 8/5 12/7 15/8 2/1
 
=== Minor with major dominant (modes starting on V of the above modes) ===
 
==== ###..#####...## (2 major, 2 minor, 1 augmented, 1 neutral, 4 wolves) ====
1|8 ♭2 ♭3 ♭4 dssLssssLs 21/20 9/8 6/5 21/16 7/5 3/2 8/5 12/7 15/8 2/1
 
==== ##..#####...### (2 major, 2 minor, 1 augmented, 1 neutral, 4 wolves) ====
1|8 ♭3 ♭4 sdsLssssLs 16/15 9/8 6/5 21/16 7/5 3/2 8/5 12/7 15/8 2/1
 
==== ####..####....## (2 major, 2 minor, 2 augmented, 2 neutral, 2 wolves) ====
1|8 ♭2 ♭3 ♭4 ♭5 dsssLsssLs 21/20 9/8 6/5 9/7 7/5 3/2 8/5 12/7 15/8 2/1
 
==== ##....####..#### (2 major, 2 minor, 2 augmented, 2 neutral, 2 wolves) ====
2|7 ♭3 ♭4 sdsLsssLss: 16/15 9/8 6/5 21/16 7/5 3/2 8/5 7/4 15/8 2/1.
 
==== ###...####...### (3 major, 3 minor, 2 augmented, 2 wolves) ====
2|7 ♭2 ♭3 ♭4 dssLsssLss 21/20 9/8 6/5 21/16 7/5 3/2 8/5 7/4 15/8 2/1,
 
1|8 ♭3 ♭4 ♭5 sdssLsssLs 16/15 9/8 6/5 9/7 7/5 3/2 8/5 12/7 15/8 2/1