Miracle/Chords: Difference between revisions

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=Triads=

~~Each of the triads below has three~~ "~~inversions~~"~~, i~~.e., ~~can be written starting~~ on ~~any one of~~ the ~~three tones~~ in the ~~triad~~.

The chords are ordered by generator steps. This chord ordering is useful because you can tell how often it will occur in a scale of miracle. For instance, Chord 0-2-5, which is 1/1-8/7-7/5, occurs for the first time on the fifth generation, and will therefore occur five times in miracle[10]. Chord 0-3-9, which is 1/1-11/9-11/6, occurs for the first time on the ninth generation, and therefore appears only once in miracle[10].

~~This chord ordering is useful because you can tell how often it will occur in a scale of miracle~~. ~~For instance~~, ~~Chord 0-2-5, which is 1/1-8/7-7/5, occurs for the first time~~ on the ~~fifth generation, and will therefore occur five times~~ in ~~miracle[10]. Chord 0-3-9, which is 1/1-11/9-11/6, occurs for~~ the ~~first time on the ninth generation, and therefore appears only once in miracle[10]~~.

Each of the triads generated has three "inversions", i.e., can be written starting on any one of the three tones in the triad.

This ordering does create results that may seem surprising: For example, chord #21, 1/1-6/5-8/5, is the first inversion of 1/1-5/4-3/2; in this list, 1/1-5/4-3/2 is the second inversion of chord #21. Unlike in traditional music theory, there is nothing canonical about these orderings and inversions.

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 =Triads=
-Each of the triads below has three "inversions", i.e., can be written starting on any one of the three tones in the triad.
+<span style="line-height: 1.5;">The chords are ordered by generator steps. This chord ordering is useful because </span>you can tell how often it will occur in a scale of miracle. For instance, Chord 0-2-5, which is 1/1-8/7-7/5, occurs for the first time on the fifth generation, and will therefore occur five times in miracle[10]. Chord 0-3-9, which is 1/1-11/9-11/6, occurs for the first time on the ninth generation, and therefore appears only once in miracle[10].
-<span style="line-height: 1.5;">This chord ordering is useful because </span>you can tell how often it will occur in a scale of miracle. For instance, Chord 0-2-5, which is 1/1-8/7-7/5, occurs for the first time on the fifth generation, and will therefore occur five times in miracle[10]. Chord 0-3-9, which is 1/1-11/9-11/6, occurs for the first time on the ninth generation, and therefore appears only once in miracle[10].
+Each of the triads generated has three "inversions", i.e., can be written starting on any one of the three tones in the triad.
 <span style="line-height: 1.5;">This ordering does create results that may seem surprising: For example, chord #21, 1/1-6/5-8/5, is the first inversion of 1/1-5/4-3/2; in this list, 1/1-5/4-3/2 is the second inversion of chord #21. Unlike in traditional music theory, there is nothing canonical about these orderings and inversions.</span>