68edo: Difference between revisions

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As a 7-limit system it tempers out [[Diaschisma|2048/2025]], [[245/243]], 4000/3969, [[15625/15552]], [[3136/3125]], [[6144/6125]] and [[2401/2400]]. It supports [[octacot]], [[shrutar]], [[hemiwürschmidt]], [[hemikleismic]], [[clyde]] and [[neptune]] temperaments, and supplies the [[optimal patent val]] for 11-limit [[hemikleismic]]. It is a sharp-tending system, with the third, fifth and seventh harmonics all sharp.
As a 7-limit system it tempers out [[Diaschisma|2048/2025]], [[245/243]], 4000/3969, [[15625/15552]], [[3136/3125]], [[6144/6125]] and [[2401/2400]]. It supports [[octacot]], [[shrutar]], [[hemiwürschmidt]], [[hemikleismic]], [[clyde]] and [[neptune]] temperaments, and supplies the [[optimal patent val]] for 11-limit [[hemikleismic]]. It is a sharp-tending system, with the third, fifth and seventh harmonics all sharp.
= Intervals =
{| class="wikitable"
!Degrees
!Cents
|-
|0
|0.0000
|-
|1
|17.6471
|-
|2
|35.2941
|-
|3
|52.9411
|-
|4
|70.5882
|-
|5
|88.2353
|-
|6
|105.8824
|-
|7
|123.5294
|-
|8
|141.1765
|-
|9
|158.8235
|-
|10
|176.4706
|-
|11
|194.1176
|-
|12
|211.7647
|-
|13
|229.4118
|-
|14
|247.0588
|-
|15
|264.7059
|-
|16
|282.3529
|-
|17
|300.0000
|-
|18
|317.6471
|-
|19
|335.2941
|-
|20
|352.9412
|-
|21
|370.5882
|-
|22
|388.2353
|-
|23
|405.8824
|-
|24
|423.5294
|-
|25
|441.1765
|-
|26
|458.8235
|-
|27
|476.4706
|-
|28
|494.1176
|-
|29
|511.7647
|-
|30
|529.4118
|-
|31
|547.0588
|-
|32
|564.7059
|-
|33
|582.3529
|-
|34
|600.0000
|-
|35
|617.6471
|-
|36
|635.2941
|-
|37
|652.9412
|-
|38
|670.5882
|-
|39
|688.2353
|-
|40
|705.8824
|-
|41
|723.5294
|-
|42
|741.1765
|-
|43
|758.8235
|-
|44
|776.4706
|-
|45
|794.1176
|-
|46
|811.7647
|-
|47
|829.4118
|-
|48
|847.0588
|-
|49
|864.7059
|-
|50
|882.3529
|-
|51
|900.0000
|-
|52
|917.6471
|-
|53
|935.2941
|-
|54
|952.9412
|-
|55
|970.5882
|-
|56
|988.2353
|-
|57
|1005.8824
|-
|58
|1023.5294
|-
|59
|1041.1765
|-
|60
|1058.8235
|-
|61
|1076.4706
|-
|62
|1094.1176
|-
|63
|1111.7647
|-
|64
|1129.4118
|-
|65
|1147.0588
|-
|66
|1164.7059
|-
|67
|1182.3529
|-
|68
|1200.0000
|}


=Diatonic scales=
=Diatonic scales=