Mintaka: Difference between revisions

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[[File:Mintaka_scale_guide.png|alt=Mintaka_scale_guide.png|960x320px]]

A pictorial representation of Mintaka[7], two modes of Mintaka[12], and Mintaka[17], and how they vary across the tuning spectrum, with representative tunings of the two main 13-limit extensions depicted in more detail including approximate JI ratios of each interval.

== Extensions of Mintaka ==

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While the macrodiatonic might suffice for the 3.7.11 subgroup, larger scales are needed to represent the primes 5 and 13 in Mintra; the tetrads 5:7:9:11 (~7:9:11:15), 7:9:11:13, and 9:11:13:15 would be bases of harmony in this extended subgroup. In terms of amount of generators (11/7) up from the tonic, these become 0:−9:−6:−8 (~0:3:1:9); 0:3:1:16, and 0:-2:13:6; the 17-note scale therefore includes all tetrads, although not on the same tonic.

~~=== Images ===~~

~~[[File:Mintaka_scale_guide.png|alt=Mintaka_scale_guide.png|960x320px]]~~

A pictorial representation of Mintaka[7], two modes of Mintaka[12], and Mintaka[17], and how they vary across the tuning spectrum, with representative tunings of the two main 13-limit extensions depicted in more detail including approximate JI ratios of each interval.

== Music ==

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 {{tdlink|No-twos subgroup temperaments#Mintaka}}
+[[File:Mintaka_scale_guide.png|alt=Mintaka_scale_guide.png|960x320px]]
+A pictorial representation of Mintaka[7], two modes of Mintaka[12], and Mintaka[17], and how they vary across the tuning spectrum, with representative tunings of the two main 13-limit extensions depicted in more detail including approximate JI ratios of each interval.
 == Extensions of Mintaka ==
@@ Line 370: / Line 375: @@
 While the macrodiatonic might suffice for the 3.7.11 subgroup, larger scales are needed to represent the primes 5 and 13 in Mintra; the tetrads 5:7:9:11 (~7:9:11:15), 7:9:11:13, and 9:11:13:15 would be bases of harmony in this extended subgroup. In terms of amount of generators (11/7) up from the tonic, these become 0:−9:−6:−8 (~0:3:1:9); 0:3:1:16, and 0:-2:13:6; the 17-note scale therefore includes all tetrads, although not on the same tonic.
-=== Images ===
-[[File:Mintaka_scale_guide.png|alt=Mintaka_scale_guide.png|960x320px]]
-A pictorial representation of Mintaka[7], two modes of Mintaka[12], and Mintaka[17], and how they vary across the tuning spectrum, with representative tunings of the two main 13-limit extensions depicted in more detail including approximate JI ratios of each interval.
 == Music ==