|
|
| Line 85: |
Line 85: |
|
| |
|
| == Temperaments using substitute harmonics == | | == Temperaments using substitute harmonics == |
|
| |
| ===Bowgress===
| |
| Same melodic shape as [[progress]]. Uses sharper substitutes for prime 3, 5, 7 and 11.
| |
|
| |
|
| |
| Subgroup
| |
|
| |
| 2.113.161.177.193
| |
|
| |
|
| |
| 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=== | | ===Daggerminished=== |