21edo: Difference between revisions
Contribution (talk | contribs) Logarithmic intervals are not very relevant |
m Added a subheading for other scales which do not fit into the above categories, and added one example. |
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== Rank-3 | == Rank-3 Scales == | ||
The rank-3 scale [[diasem]] (323132313 or 313231323 in 21edo) is the 21edo tempering of Zarlino diatonic with 1\21 comma steps added, resulting in two "major seconds" (171c and 228c), two "minor thirds" (286c and 343c) and two "fourths" (457c and 514c). 21edo is the smallest edo to support a non-degenerate diasem (with L:M:S ratio 3:2:1). | The rank-3 scale [[diasem]] (323132313 or 313231323 in 21edo) is the 21edo tempering of Zarlino diatonic with 1\21 comma steps added, resulting in two "major seconds" (171c and 228c), two "minor thirds" (286c and 343c) and two "fourths" (457c and 514c). 21edo is the smallest edo to support a non-degenerate diasem (with L:M:S ratio 3:2:1). | ||
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The steps of these 7 basic patterns can also be permuted/rotated to give a total of 28 tetrachords, which can then be combined in either conjunct or disjunct form to yield a staggering number of scales. Thus 21 EDO can do reasonably-convincing imitations of the melodic forms of various tetrachordal musical traditions, such as ancient Greek, maqam, and dastgah. | The steps of these 7 basic patterns can also be permuted/rotated to give a total of 28 tetrachords, which can then be combined in either conjunct or disjunct form to yield a staggering number of scales. Thus 21 EDO can do reasonably-convincing imitations of the melodic forms of various tetrachordal musical traditions, such as ancient Greek, maqam, and dastgah. | ||
== Other Scales == | |||
The subset 2 3 7 2 7 of 21 EDO sounds similar to the ''Pelog lima'' mode of the [[Pelog]] scale. | |||
== As a regular temperament == | == As a regular temperament == | ||