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= | ||