User:BudjarnLambeth/Substitute harmonic: Difference between revisions

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 == Temperaments using substitute harmonics ==
+===Bowgress===
+Same melodic shape as [[progress]]. Uses sharper substitutes for prime 3, 5, 7 and 11.
+Subgroup
+.113.161.177.193
+Equal Temperament Mappings
+{| class="wikitable"
+!
+!2
+!113
+!161
+!177
+!193
+!
+|-
+|[ ⟨
+|15
+|102
+|110
+|112
+|114
+|]
+|-
+|⟨
+|17
+|116
+|125
+|127
+|129
+|] ⟩
+|}
+Reduced Mapping
+{| class="wikitable"
+!
+!2
+!113
+!161
+!177
+!193
+!
+|-
+|[ ⟨
+|1
+|4
+|5
+|7
+|9
+|]
+|-
+|⟨
+|0
+|6
+|5
+|1
+| -3
+|] ⟩
+|}
+POTE Generator Tunings (cents)
+⟨1200.0000, 562.6017]
+POTE Step Tunings (cents)
+⟨35.77178, 39.02490]
+POTE Tuning Map (cents)
+⟨1200.000, 8175.610, 8813.008, 8962.602, 9112.195]
+POTE Mistunings (cents)
+⟨0.000, -8.605, 15.908, 1.475, 1.247]
+Unison Vectors
+* [8, 1, -1, -1, 0⟩ (28928:28497)
+* [0, 0, -1, 2, -1⟩ (31329:31073)
+* [-22, 1, 0, 0, 2⟩ (4209137:4194304)
+* [8, 1, -2, 1, -1⟩ (5120256:5002753)
+* [8, 1, 0, -3, 1⟩ (5583104:5545233)
+* [-6, 3, -3, 0, 1⟩ (278479121:267089984)
 ===Daggerminished===
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 .113.161.177.193