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Miracle 10 MODMOS: Difference between revisions

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Miracle[10] 2|7 #3 sLdssssLss
 
Miracle[10] 2|7 ♯3 sLdssssLss. On the generator chain this MODMOS is #.....####.#####  


16/15~15/14 7/6 11/9 21/16 7/5 3/2 8/5 7/4 15/8 2/1
16/15~15/14 7/6 11/9 21/16 7/5 3/2 8/5 7/4 15/8 2/1
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Let's try Miracle[10] 2|7 #3 #4 sLsdsssLss
 
Let's try Miracle[10] 2|7 ♯3 ♯4 sLsdsssLss. On the generator chain this MODMOS is ##....####..####


16/15~15/14 7/6 5/4 21/16 7/5 3/2 8/5 7/4 15/8 2/1
16/15~15/14 7/6 5/4 21/16 7/5 3/2 8/5 7/4 15/8 2/1
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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.
 
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.  
 
On the generator chain this MODMOS is ###...####...###


16/15~15/14 7/6 5/4 4/3 7/5 3/2 8/5 7/4 15/8 2/1
16/15~15/14 7/6 5/4 4/3 7/5 3/2 8/5 7/4 15/8 2/1
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Miracle[10] #4 #5 ssLsdssLss
 
Miracle[10] 2|7 ♯4 ♯5 ssLsdssLss. On the generator chain this MODMOS is ##...#####..###


16/15~15/14 8/7 5/4 4/3 7/5 3/2 8/5 7/4 15/8 2/1
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.
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
Miracle[10] 2|7 ♯5 sssLdssLss. On the generator chain this MODMOS is #...######.###


16/15~15/14 8/7 11/9 4/3 7/5 3/2 8/5 7/4 15/8 2/1
16/15~15/14 8/7 11/9 4/3 7/5 3/2 8/5 7/4 15/8 2/1
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And we'll also try Miracle[10] 2|7 #4 ssLdsssLss
 
And we'll also try Miracle[10] 2|7 ♯4 ssLdsssLss. On the generator chain this MODMOS is #....#####.####


16/15~15/14 8/7 5/4 21/16 7/5 3/2 8/5 7/4 15/8 2/1
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.
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; and an augmented triad 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.
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.


<nowiki>#</nowiki>3 #4 is cool because you get 2 major, 2 minor, 2 neutral, 2 augmented, and 2 wolf triads.
<nowiki>#</nowiki>3 #4 is cool because you get 2 major, 2 minor, 2 neutral, 2 augmented, and 2 wolf triads.
No major or minor triads can be found in MODMOS of Miracle[10] with a span of less than 14 generators, since 5/4 is found at 13 generators.
We get to 11/8 with MODMOS that span 16 generators, which include Miracle[10] 2|7 ♯3, ♯3 ♯4, and ♯3 ♯4 ♯5, which have an 11/8 above III.
♯3 ♯4 ♯5 is symmetric.
♯3, ♯3 ♯4, ♯4, ♯5, and ♯4 ♯5 all have inverses that are different MODMOS.
Of these, the inverse of ♯3 ♯4 is of particular interest. ####..####....## on the generator chain:
From Miracle[10] 7|2 ssLsssssss: 16/15~15/14 8/7 5/4 4/3 10/7 32/21 18/11 7/4 15/8 2/1
It is Miracle[10] 7|2 ♭8 ♭9 ssLsssdsLs: 16/15~15/14 8/7 5/4 4/3 10/7 32/21 8/5 12/7 15/8 2/1
Let's put it in a minor mode:
Miracle[10] 1|8 ♭4 ♭5 ssdsLsssLs: 16/15~15/14 8/7 6/5 9/7 7/5 3/2 8/5 12/7 15/8 2/1.
using the 3-step stacked triads, we get minor on I, II; neutral on III and X; augmented on IV, and V; wolf triads on VI and VII, and major on VIII, and IX.
Same triads as it's inverse, just ordered differently.
Let's try ##..######..##:
Miracle[10] 2|7 ♯5 ♯6 sssLsdsLss.
16/15~15/14 8/7 11/9 4/3 10/7 3/2 8/5 7/4 15/8 2/1.
using the 3-step stacked triads, we get neutral triads on I and VI, major on II; minor on V; and wolf triads on III, IV, VII, VIII, IX, and X.
The generator chain sequences ###...####...###, ##....####..#####, and #####..####....## give the best MODMOS in the opinion of the author.
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