User:Godtone: Difference between revisions

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(3,2,1): 108, (2,3,1): 75, (1,3,2): 28, (1,2,3): 92, (2,1,3): 81, (3,1,2): 82 # "pastel"/deeply nontrivial

}

# for the 7-limit JI scale the zil24 colouring is intended to be used with see: https://en.xen.wiki/w/User:Zastari#Zil_.282.3.5.7.29

zil24 = [colcube[( int(s[0]), int(s[1]), int(s[2]) )] for s in '333 020 101 032 213 000 221 002 333 023 100 031 212 003 323 000 331 022 203 033 110 001 322 003'.split()]

# FOR INFO ON THE 24-NOTE COLOURING FOR Zil[24] READ BELOW:

# the coordinates are based on interpreting every note of zil in terms of three families:

# * Duodene*: [6] (R=3), [7] (R=2), [12] (R=1)

# * (bi)hexatonic Zil**: [6] (G=3), [12] (G=2), [15] (G=1)

# * Tas: [9] (B=3), [14] (B=2), [19] (B=1)

# with the following notes:

# * for Duodene, we are merging two scale families that conclude at Duodene[12] into one;

# we pick Augmented Duodene[6] for the 6-note version and Zarlino Duodene[7] for the 7-note version

# which works well because the latter is a strict superset of the former with the exception of only one difference:

# 25/16 in Augmented and 27/16 in Zarlino

# ** for (bi)hexatonic Zil, both the 6- and 12-note forms are bihexatonic but the 15-note one is not.

# the "bi-" means that the same scale is generated using two different traversals of the primes (3,5,7).

# for use with iso(1,8), iso(1,4), iso(8,1), iso(4,1) specifically so that each 4x4 area corresponds to a slice of the 4x4x4 cube

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global rgb

return [rgb[coord] for coord in [(h,l,l), (h,m,l), (h,h,l), (m,h,l), (l,h,l), (l,h,m), (l,h,h), (l,m,h), (l,l,h), (m,l,h), (h,l,h), (h,l,m)]]

@@ Line 1,606: / Line 1,606: @@
 (3,2,1): 108, (2,3,1): 75, (1,3,2): 28, (1,2,3): 92, (2,1,3): 81, (3,1,2): 82 # "pastel"/deeply nontrivial
 }
+# for the 7-limit JI scale the zil24 colouring is intended to be used with see: https://en.xen.wiki/w/User:Zastari#Zil_.282.3.5.7.29
+zil24 = [colcube[( int(s[0]), int(s[1]), int(s[2]) )] for s in '333 020 101 032 213 000 221 002 333 023 100 031 212 003 323 000 331 022 203 033 110 001 322 003'.split()]
+# FOR INFO ON THE 24-NOTE COLOURING FOR Zil[24] READ BELOW:
+# the coordinates are based on interpreting every note of zil in terms of three families:
+# * Duodene*: [6] (R=3), [7] (R=2), [12] (R=1)
+# * (bi)hexatonic Zil**: [6] (G=3), [12] (G=2), [15] (G=1)
+# * Tas: [9] (B=3), [14] (B=2), [19] (B=1)
+# with the following notes:
+# * for Duodene, we are merging two scale families that conclude at Duodene[12] into one;
+#   we pick Augmented Duodene[6] for the 6-note version and Zarlino Duodene[7] for the 7-note version
+#   which works well because the latter is a strict superset of the former with the exception of only one difference:
+#   25/16 in Augmented and 27/16 in Zarlino
+# ** for (bi)hexatonic Zil, both the 6- and 12-note forms are bihexatonic but the 15-note one is not.
+#    the "bi-" means that the same scale is generated using two different traversals of the primes (3,5,7).
 # for use with iso(1,8), iso(1,4), iso(8,1), iso(4,1) specifically so that each 4x4 area corresponds to a slice of the 4x4x4 cube
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 	global rgb
 	return [rgb[coord] for coord in [(h,l,l), (h,m,l), (h,h,l), (m,h,l), (l,h,l), (l,h,m), (l,h,h), (l,m,h), (l,l,h), (m,l,h), (h,l,h), (h,l,m)]]