|
|
| Line 11: |
Line 11: |
| The [[concoctic scale]] for 69edo is 22\69, and the corresponding rank two temperament is 22 & 69, defined by tempering out the [-41, 1, 17⟩ comma in the 5-limit. | | The [[concoctic scale]] for 69edo is 22\69, and the corresponding rank two temperament is 22 & 69, defined by tempering out the [-41, 1, 17⟩ comma in the 5-limit. |
|
| |
|
| == Intervals ==
| |
| {|class="wikitable"
| |
| |-
| |
| !#
| |
| !Cents
| |
| !Diatonic interval category
| |
| |-
| |
| |0
| |
| |0.0
| |
| |perfect unison
| |
| |-
| |
| |1
| |
| |17.4
| |
| |superunison
| |
| |-
| |
| |2
| |
| |34.8
| |
| |superunison
| |
| |-
| |
| |3
| |
| |52.2
| |
| |subminor second
| |
| |-
| |
| |4
| |
| |69.6
| |
| |subminor second
| |
| |-
| |
| |5
| |
| |87.0
| |
| |minor second
| |
| |-
| |
| |6
| |
| |104.3
| |
| |minor second
| |
| |-
| |
| |7
| |
| |121.7
| |
| |supraminor second
| |
| |-
| |
| |8
| |
| |139.1
| |
| |supraminor second
| |
| |-
| |
| |9
| |
| |156.5
| |
| |neutral second
| |
| |-
| |
| |10
| |
| |173.9
| |
| |submajor second
| |
| |-
| |
| |11
| |
| |191.3
| |
| |major second
| |
| |-
| |
| |12
| |
| |208.7
| |
| |major second
| |
| |-
| |
| |13
| |
| |226.1
| |
| |supermajor second
| |
| |-
| |
| |14
| |
| |243.5
| |
| |ultramajor second
| |
| |-
| |
| |15
| |
| |260.9
| |
| |subminor third
| |
| |-
| |
| |16
| |
| |278.3
| |
| |subminor third
| |
| |-
| |
| |17
| |
| |295.7
| |
| |minor third
| |
| |-
| |
| |18
| |
| |313.0
| |
| |minor third
| |
| |-
| |
| |19
| |
| |330.4
| |
| |supraminor third
| |
| |-
| |
| |20
| |
| |347.8
| |
| |neutral third
| |
| |-
| |
| |21
| |
| |365.2
| |
| |submajor third
| |
| |-
| |
| |22
| |
| |382.6
| |
| |major third
| |
| |-
| |
| |23
| |
| |400.0
| |
| |major third
| |
| |-
| |
| |24
| |
| |417.4
| |
| |major third
| |
| |-
| |
| |25
| |
| |434.8
| |
| |supermajor third
| |
| |-
| |
| |26
| |
| |452.2
| |
| |ultramajor third
| |
| |-
| |
| |27
| |
| |469.6
| |
| |subfourth
| |
| |-
| |
| |28
| |
| |487.0
| |
| |perfect fourth
| |
| |-
| |
| |29
| |
| |504.3
| |
| |perfect fourth
| |
| |-
| |
| |30
| |
| |521.7
| |
| |superfourth
| |
| |-
| |
| |31
| |
| |539.1
| |
| |superfourth
| |
| |-
| |
| |32
| |
| |556.5
| |
| |superfourth
| |
| |-
| |
| |33
| |
| |573.9
| |
| |low tritone
| |
| |-
| |
| |34
| |
| |591.3
| |
| |low tritone
| |
| |-
| |
| |35
| |
| |608.7
| |
| |high tritone
| |
| |-
| |
| |36
| |
| |626.1
| |
| |high tritone
| |
| |-
| |
| |37
| |
| |643.5
| |
| |subfifth
| |
| |-
| |
| |38
| |
| |660.9
| |
| |subfifth
| |
| |-
| |
| |39
| |
| |678.3
| |
| |subfifth
| |
| |-
| |
| |40
| |
| |695.7
| |
| |perfect fifth
| |
| |-
| |
| |41
| |
| |713.0
| |
| |perfect fifth
| |
| |-
| |
| |42
| |
| |730.4
| |
| |superfifth
| |
| |-
| |
| |43
| |
| |747.8
| |
| |ultrafifth
| |
| |-
| |
| |44
| |
| |765.2
| |
| |subminor sixth
| |
| |-
| |
| |45
| |
| |782.6
| |
| |minor sixth
| |
| |-
| |
| |46
| |
| |800.0
| |
| |minor sixth
| |
| |-
| |
| |47
| |
| |817.4
| |
| |minor sixth
| |
| |-
| |
| |48
| |
| |834.8
| |
| |supraminor sixth
| |
| |-
| |
| |49
| |
| |852.2
| |
| |neutral sixth
| |
| |-
| |
| |50
| |
| |869.6
| |
| |submajor sixth
| |
| |-
| |
| |51
| |
| |887.0
| |
| |major sixth
| |
| |-
| |
| |52
| |
| |904.3
| |
| |major sixth
| |
| |-
| |
| |53
| |
| |921.7
| |
| |supermajor sixth
| |
| |-
| |
| |54
| |
| |939.1
| |
| |supermajor sixth
| |
| |-
| |
| |55
| |
| |956.5
| |
| |ultramajor sixth
| |
| |-
| |
| |56
| |
| |973.9
| |
| |subminor seventh
| |
| |-
| |
| |57
| |
| |991.3
| |
| |minor seventh
| |
| |-
| |
| |58
| |
| |1008.7
| |
| |minor seventh
| |
| |-
| |
| |59
| |
| |1026.1
| |
| |supraminor seventh
| |
| |-
| |
| |60
| |
| |1043.5
| |
| |neutral seventh
| |
| |-
| |
| |61
| |
| |1060.9
| |
| |submajor seventh
| |
| |-
| |
| |62
| |
| |1078.3
| |
| |submajor seventh
| |
| |-
| |
| |63
| |
| |1095.7
| |
| |major seventh
| |
| |-
| |
| |64
| |
| |1113.0
| |
| |major seventh
| |
| |-
| |
| |65
| |
| |1130.4
| |
| |supermajor seventh
| |
| |-
| |
| |66
| |
| |1147.8
| |
| |ultramajor seventh
| |
| |-
| |
| |67
| |
| |1165.2
| |
| |suboctave
| |
| |-
| |
| |68
| |
| |1182.6
| |
| |suboctave
| |
| |-
| |
| |69
| |
| |1200.0
| |
| |perfect octave
| |
| |}
| |
| === Odd harmonics === | | === Odd harmonics === |
| {{Harmonics in equal|69}} | | {{Harmonics in equal|69}} |