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It tempers out 20480/19683 and [[393216/390625]] in the [[5-limit]], 875/864, 4000/3969 and 1029/1024 in the [[7-limit]], 245/242 and [[100/99]] in the [[11-limit]], and 91/90 in the [[13-limit]]. In the 13-limit it supplies the optimal [[patent val]] for the 29&amp;71 and 34&amp;37 temperaments.<!-- 2-digit number -->
It tempers out 20480/19683 and [[393216/390625]] in the [[5-limit]], 875/864, 4000/3969 and 1029/1024 in the [[7-limit]], 245/242 and [[100/99]] in the [[11-limit]], and 91/90 in the [[13-limit]]. In the 13-limit it supplies the optimal [[patent val]] for the 29&amp;71 and 34&amp;37 temperaments.<!-- 2-digit number -->


== Intervals ==
{|class="wikitable"
|-
!#
!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:Prime EDO]]
[[Category:Prime EDO]]
Retrieved from "https://en.xen.wiki/w/71edo"