13edo scales: Difference between revisions

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 The brightest mode is 0-2-3-5-6-8-9-11-12-13. The triad 4:11:13 occurs on degrees 1, 2, 3, 5, 7 and 9; these can be extended to either 4:10:11:13:17, 4:9:11:13:21, or 4:5:9:11:13 depending on what degree you're on. Since you get 21/16 as the minor version of 11/8, you also get two 8:13:17:21's with the same interval classes, on degrees 6 and 8. Degree 4 has a 4:5:11.
+===Scale===
+{| class="wikitable"
+|-
+! style="text-align:right" | Degree
+! | Cents<sup>*</sup>
+! | Approximate ratios<sup>†</sup>
+|-
+| | 1
+| style="text-align:right;" | 0.000
+| | 1/1
+|-
+| | 2
+| style="text-align:right;" | 184.615
+| | 9/8~10/9~11/10
+|-
+| | 3
+| style="text-align:right;" | 276.92
+| | 13/11
+|-
+| | 4
+| style="text-align:right;" | 461.54
+| | 21/16~13/10~17/13
+|-
+| | 5
+| style="text-align:right;" | 553.85
+| | 11/8
+|-
+| | 6
+| style="text-align:right;" | 738.46
+| |
+|-
+| | 7
+| style="text-align:right;" | 830.77
+| | 13/8
+|-
+| | 8
+| style="text-align:right;" | 1015.385
+| |
+|-
+| | 9
+| style="text-align:right;" | 1107.69
+| |
+|-
+| | 10
+| style="text-align:right;" | 1200
+| | 2/1
+|}
 ===Musical examples===
 [https://www.youtube.com/watch?v=x4Yesl8n6gc Brusselator Sprouts (by Xotla)] (The main riffs are in this scale, although key changes and notes outside the 9 note subset are used too.)