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| Line 12: |
Line 12: |
| The fifth 41\70 is the true center of the diatonic tuning spectrum, as it is the [[geometric mean]] of 3\[[5edo]] and 4\[[7edo]]. | | The fifth 41\70 is the true center of the diatonic tuning spectrum, as it is the [[geometric mean]] of 3\[[5edo]] and 4\[[7edo]]. |
| == Intervals == | | == Intervals == |
| {|class="wikitable" | | {{Interval table}} |
| |-
| |
| !#
| |
| !Cents
| |
| !Diatonic interval category
| |
| |-
| |
| |0
| |
| |0.0
| |
| |perfect unison
| |
| |-
| |
| |1
| |
| |17.1
| |
| |superunison
| |
| |-
| |
| |2
| |
| |34.3
| |
| |superunison
| |
| |-
| |
| |3
| |
| |51.4
| |
| |subminor second
| |
| |-
| |
| |4
| |
| |68.6
| |
| |subminor second
| |
| |-
| |
| |5
| |
| |85.7
| |
| |minor second
| |
| |-
| |
| |6
| |
| |102.9
| |
| |minor second
| |
| |-
| |
| |7
| |
| |120.0
| |
| |supraminor second
| |
| |-
| |
| |8
| |
| |137.1
| |
| |supraminor second
| |
| |-
| |
| |9
| |
| |154.3
| |
| |neutral second
| |
| |-
| |
| |10
| |
| |171.4
| |
| |submajor second
| |
| |-
| |
| |11
| |
| |188.6
| |
| |major second
| |
| |-
| |
| |12
| |
| |205.7
| |
| |major second
| |
| |-
| |
| |13
| |
| |222.9
| |
| |supermajor second
| |
| |-
| |
| |14
| |
| |240.0
| |
| |ultramajor second
| |
| |-
| |
| |15
| |
| |257.1
| |
| |ultramajor second
| |
| |-
| |
| |16
| |
| |274.3
| |
| |subminor third
| |
| |-
| |
| |17
| |
| |291.4
| |
| |minor third
| |
| |-
| |
| |18
| |
| |308.6
| |
| |minor third
| |
| |-
| |
| |19
| |
| |325.7
| |
| |supraminor third
| |
| |-
| |
| |20
| |
| |342.9
| |
| |neutral third
| |
| |-
| |
| |21
| |
| |360.0
| |
| |submajor third
| |
| |-
| |
| |22
| |
| |377.1
| |
| |submajor third
| |
| |-
| |
| |23
| |
| |394.3
| |
| |major third
| |
| |-
| |
| |24
| |
| |411.4
| |
| |major third
| |
| |-
| |
| |25
| |
| |428.6
| |
| |supermajor third
| |
| |-
| |
| |26
| |
| |445.7
| |
| |ultramajor third
| |
| |-
| |
| |27
| |
| |462.9
| |
| |subfourth
| |
| |-
| |
| |28
| |
| |480.0
| |
| |perfect fourth
| |
| |-
| |
| |29
| |
| |497.1
| |
| |perfect fourth
| |
| |-
| |
| |30
| |
| |514.3
| |
| |perfect fourth
| |
| |-
| |
| |31
| |
| |531.4
| |
| |superfourth
| |
| |-
| |
| |32
| |
| |548.6
| |
| |superfourth
| |
| |-
| |
| |33
| |
| |565.7
| |
| |low tritone
| |
| |-
| |
| |34
| |
| |582.9
| |
| |low tritone
| |
| |-
| |
| |35
| |
| |600.0
| |
| |high tritone
| |
| |-
| |
| |36
| |
| |617.1
| |
| |high tritone
| |
| |-
| |
| |37
| |
| |634.3
| |
| |high tritone
| |
| |-
| |
| |38
| |
| |651.4
| |
| |subfifth
| |
| |-
| |
| |39
| |
| |668.6
| |
| |subfifth
| |
| |-
| |
| |40
| |
| |685.7
| |
| |perfect fifth
| |
| |-
| |
| |41
| |
| |702.9
| |
| |perfect fifth
| |
| |-
| |
| |42
| |
| |720.0
| |
| |superfifth
| |
| |-
| |
| |43
| |
| |737.1
| |
| |superfifth
| |
| |-
| |
| |44
| |
| |754.3
| |
| |ultrafifth
| |
| |-
| |
| |45
| |
| |771.4
| |
| |subminor sixth
| |
| |-
| |
| |46
| |
| |788.6
| |
| |minor sixth
| |
| |-
| |
| |47
| |
| |805.7
| |
| |minor sixth
| |
| |-
| |
| |48
| |
| |822.9
| |
| |supraminor sixth
| |
| |-
| |
| |49
| |
| |840.0
| |
| |neutral sixth
| |
| |-
| |
| |50
| |
| |857.1
| |
| |neutral sixth
| |
| |-
| |
| |51
| |
| |874.3
| |
| |submajor sixth
| |
| |-
| |
| |52
| |
| |891.4
| |
| |major sixth
| |
| |-
| |
| |53
| |
| |908.6
| |
| |major sixth
| |
| |-
| |
| |54
| |
| |925.7
| |
| |supermajor sixth
| |
| |-
| |
| |55
| |
| |942.9
| |
| |ultramajor sixth
| |
| |-
| |
| |56
| |
| |960.0
| |
| |subminor seventh
| |
| |-
| |
| |57
| |
| |977.1
| |
| |subminor seventh
| |
| |-
| |
| |58
| |
| |994.3
| |
| |minor seventh
| |
| |-
| |
| |59
| |
| |1011.4
| |
| |minor seventh
| |
| |-
| |
| |60
| |
| |1028.6
| |
| |supraminor seventh
| |
| |-
| |
| |61
| |
| |1045.7
| |
| |neutral seventh
| |
| |-
| |
| |62
| |
| |1062.9
| |
| |submajor seventh
| |
| |-
| |
| |63
| |
| |1080.0
| |
| |major seventh
| |
| |-
| |
| |64
| |
| |1097.1
| |
| |major seventh
| |
| |-
| |
| |65
| |
| |1114.3
| |
| |major seventh
| |
| |-
| |
| |66
| |
| |1131.4
| |
| |supermajor seventh
| |
| |-
| |
| |67
| |
| |1148.6
| |
| |ultramajor seventh
| |
| |-
| |
| |68
| |
| |1165.7
| |
| |suboctave
| |
| |-
| |
| |69
| |
| |1182.9
| |
| |suboctave
| |
| |-
| |
| |70
| |
| |1200.0
| |
| |perfect octave
| |
| |}
| |
| [[Category:Equal divisions of the octave|##]] <!-- 2-digit number --> | | [[Category:Equal divisions of the octave|##]] <!-- 2-digit number --> |