Miracle 10 MODMOS

First, Miracle[10]:

In the mode 2|7, sssssssLss it approximates

16/15~15/14 8/7 11/9 21/16 7/5 3/2 8/5 7/4 15/8 2/1

using 3-step stacked triads, we get neutral triads on I, II, IX and X; and wolf triads on III, IV, V, VI, VI, and VIII.

We will interpolate from here to the 3-SN scale mLmmsmmLmm, and back:

Miracle[10] 2|7 #3 sLdssssLss

16/15~15/14 7/6 11/9 21/16 7/5 3/2 8/5 7/4 15/8 2/1

using the 3-step stacked triads, we get major on X; neutral on I, II, VII, and IX; minor on III; wolf triads on IV and V; and augmented triads on VI and VII.

Let's try Miracle[10] 2|7 #3 #4 sLsdsssLss

16/15~15/14 7/6 5/4 21/16 7/5 3/2 8/5 7/4 15/8 2/1

using the 3-step stacked triads, we get major on I, and X; neutral on II and IX; minor on III, and IV; wolf triads on V and VI, and augmented triads on VII and VIII.

Now go to Miracle[10] 2|7 #3 #4 #5 sLssdssLss, which is also the 3-SN scale mLmmsmmLmm, but with 243/242 tempered out to make 11/9 and 27/22 equivalent.

16/15~15/14 7/6 5/4 4/3 7/5 3/2 8/5 7/4 15/8 2/1

using the 3-step stacked triads, we get major on I, II, and X; minor on III, IV, and V; wolf triads on VI, and IX, and augmented triads on VII and VIII.

And back a different way:

Miracle[10] #4 #5 ssLsdssLss

16/15~15/14 8/7 5/4 4/3 7/5 3/2 8/5 7/4 15/8 2/1

using the 3-step stacked triads, we get major on I, II; minor on IV, and V; wolf triads on III, VI, VII, and IX, an augmented triad on VIII, and a neutral triad on X.

Miracle[10] #5 sssLdssLss

16/15~15/14 8/7 11/9 4/3 7/5 3/2 8/5 7/4 15/8 2/1

using the 3-step stacked triads, we get neutral triads on I and X, major on II; minor on V; and wolf triads on III, IV, VI, VII, VIII, and IX.

And we'll also try Miracle[10] 2|7 #4 ssLdsssLss

16/15~15/14 8/7 5/4 21/16 7/5 3/2 8/5 7/4 15/8 2/1

using the 3-step stacked triads, we get major on I; neutral triads on II, IX, and X; minor on IV; wolf triads on III, V, VI, and VII, an augmented triads on VIII.

If we want to minimize the number of wolf triads, out of these scales, #3, #3 #4, and #3, #4, #5 are best.

If we want to maximize the number of major and minor triads, #3 #4 #5 is best.

#3 #4 is cool because you get 2 major, 2 minor, 2 neutral, 2 augmented, and 2 wolf triads.