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| Line 157: |
Line 157: |
| |} | | |} |
|
| |
|
| ==== Tempering out 128/125 ====
| |
| {| class="wikitable"
| |
| |+
| |
| !Name
| |
| !Modes
| |
| |-
| |
| |Augmented triad
| |
| |4 4 4
| |
| |-
| |
| |Whole-tone scale
| |
| |2 2 2 2 2 2
| |
| |-
| |
| |Truncated Messiaen's 3rd mode
| |
| |3 1 3 1 3 1
| |
| |-
| |
| |Messiaen's 3rd mode
| |
| |2 1 1 2 1 1 2 1 1
| |
| |}
| |
|
| |
| ==== Tempering out 648/625 ====
| |
| {| class="wikitable"
| |
| |+
| |
| !Name
| |
| !Modes
| |
| |-
| |
| |Diminished seventh
| |
| |3 3 3 3
| |
| |-
| |
| |Messiaen mode 2, 1st truncation
| |
| |1 2 3 1 2 3
| |
| |-
| |
| |Messiaen mode 2, 2nd truncation
| |
| |1 3 2 1 3 2
| |
| |-
| |
| |Messiaen's 2nd mode
| |
| |1 2 1 2 1 2 1 2
| |
| |-
| |
| |Messiaen's 6th mode
| |
| |1 1 2 2 1 1 2 2
| |
| |}
| |
|
| |
| ==== Tempering out 2048/2025 ====
| |
| {| class="wikitable"
| |
| |+
| |
| !Name
| |
| !Modes
| |
| !Perfect cadence
| |
| !Plagal cadence
| |
| |-
| |
| |Messiaen's 5th mode
| |
| |1 4 1 1 4 1
| |
| |4/3 - 8/5 - 4/3 - 4/3 - 8/5 - 4/3
| |
| |3/2 - 5/4 - 3/2 - 3/2 - 5/4 - 3/2
| |
| |-
| |
| |Messiaen's 4th mode
| |
| |1 1 3 1 1 1 3 1
| |
| |4/3 - 6/5 - 4/3 - 4/3 - 4/3 - 6/5 - 4/3 - 4/3
| |
| |3/2 - 5/3 - 3/2 - 3/2 - 3/2 - 5/3 - 3/2 - 3/2
| |
| |-
| |
| |Messiaen's 7th mode
| |
| |1 1 2 1 1 1 1 2 1 1
| |
| |4/3 - 6/5 - 8/5 - 5/3 - 4/3 - 4/3 - 6/5 - 8/5 - 5/3 - 4/3
| |
| 4/3 - 5/3 - 8/5 - 6/5 - 4/3 - 4/3 - 5/3 - 8/5 - 6/5 - 4/3
| |
| |3/2 - 5/3 - 5/4 - 6/5 - 3/2 - 3/2 - 5/3 - 5/4 - 6/5 - 3/2
| |
| 3/2 - 6/5 - 5/4 - 5/3 - 3/2 - 3/2 - 6/5 - 5/4 - 5/3 - 3/2
| |
| |}
| |
| {| class="wikitable" | | {| class="wikitable" |
| |+ | | |+ |