524edo: Difference between revisions

+subsets and supersets
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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|524}}
{{ED intro}}


== Theory ==
== Theory ==
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== Regular temperament properties ==
== Regular temperament properties ==
Based on treating 524edo as a no-threes system:
Based on treating 524edo as a no-threes system:
{| class="wikitable center-4 center-5 center-6"
{| class="wikitable center-4 center-5 center-6"
|-
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[Comma list|Comma List]]
! rowspan="2" | [[Comma list|Comma List]]
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| {{monzo| 1217 -524 }}
| {{monzo| 1217 -524 }}
| {{mapping| 524 1217 }}
| {{mapping| 524 1217 }}
| -0.152
| −0.152
| 0.153
| 0.153
| 6.67
| 6.67
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| {{monzo| 33 -13 -1 }}, {{monzo| -4 -43 37 }}
| {{monzo| 33 -13 -1 }}, {{monzo| -4 -43 37 }}
| {{mapping| 524 1217 1471 }}
| {{mapping| 524 1217 1471 }}
| -0.087
| −0.087
| 0.155
| 0.155
| 6.79
| 6.79
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| 1835008/1830125, {{monzo| 3 7 3 -8 }}, {{monzo| -13 -5 10 -1 }}
| 1835008/1830125, {{monzo| 3 7 3 -8 }}, {{monzo| -13 -5 10 -1 }}
| {{mapping| 524 1217 1471 1813 }}
| {{mapping| 524 1217 1471 1813 }}
| -0.108
| −0.108
| 0.139
| 0.139
| 6.09
| 6.09
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| 1001/1000, 742586/741125, 2097152/2093663, 14201915/14172488
| 1001/1000, 742586/741125, 2097152/2093663, 14201915/14172488
| {{mapping| 524 1217 1471 1813 1939 }}
| {{mapping| 524 1217 1471 1813 1939 }}
| -0.082
| −0.082
| 0.135
| 0.135
| 5.88
| 5.88
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| 1001/1000, 6664/6655, 54080/54043, 147968/147875, 285719/285610
| 1001/1000, 6664/6655, 54080/54043, 147968/147875, 285719/285610
| {{mapping| 524 1217 1471 1813 1939 2142 }}
| {{mapping| 524 1217 1471 1813 1939 2142 }}
| -0.084
| −0.084
| 0.122
| 0.122
| 5.37
| 5.37
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== Scales ==
== Scales ==
* Ostara[7]: 62 62 62 107 62 62 107 - [[2L 5s]]
* Ostara[7]: 62 62 62 107 62 62 107 [[2L 5s]]