317edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
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== Regular temperament properties == | == Regular temperament properties == | ||
{| 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 | ! rowspan="2" | [[Comma list]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal<br>8ve | ! rowspan="2" | Optimal<br />8ve stretch (¢) | ||
! colspan="2" | Tuning | ! colspan="2" | Tuning error | ||
|- | |- | ||
! [[TE error|Absolute]] (¢) | ! [[TE error|Absolute]] (¢) | ||
! [[TE simple badness|Relative]] (%) | ! [[TE simple badness|Relative]] (%) | ||
| Line 27: | Line 28: | ||
| {{monzo| 1005 -317 }} | | {{monzo| 1005 -317 }} | ||
| {{mapping| 317 1005 }} | | {{mapping| 317 1005 }} | ||
| | | −0.0799 | ||
| 0.0799 | | 0.0799 | ||
| 2.11 | | 2.11 | ||
| Line 34: | Line 35: | ||
| {{monzo| -53 5 16 }}, {{monzo| 33 -17 9 }} | | {{monzo| -53 5 16 }}, {{monzo| 33 -17 9 }} | ||
| {{mapping| 317 1005 736 }} | | {{mapping| 317 1005 736 }} | ||
| | | −0.0254 | ||
| 0.1009 | | 0.1009 | ||
| 2.67 | | 2.67 | ||
| Line 41: | Line 42: | ||
| 420175/419904, 703125/702464, 33554432/33480783 | | 420175/419904, 703125/702464, 33554432/33480783 | ||
| {{mapping| 317 1005 736 890 }} | | {{mapping| 317 1005 736 890 }} | ||
| | | −0.0422 | ||
| 0.0921 | | 0.0921 | ||
| 2.43 | | 2.43 | ||
| Line 48: | Line 49: | ||
| 6250/6237, 12005/11979, 46656/46585, 151263/151250 | | 6250/6237, 12005/11979, 46656/46585, 151263/151250 | ||
| {{mapping| 317 1005 736 890 1097 }} | | {{mapping| 317 1005 736 890 1097 }} | ||
| | | −0.1126 | ||
| 0.1631 | | 0.1631 | ||
| 4.31 | | 4.31 | ||
| Line 55: | Line 56: | ||
| 1575/1573, 4459/4455, 6250/6237, 67392/67375, 190125/189728 | | 1575/1573, 4459/4455, 6250/6237, 67392/67375, 190125/189728 | ||
| {{mapping| 317 1005 736 890 1097 1173 }} | | {{mapping| 317 1005 736 890 1097 1173 }} | ||
| | | −0.0871 | ||
| 0.1594 | | 0.1594 | ||
| 4.21 | | 4.21 | ||
| Line 62: | Line 63: | ||
| 936/935, 1225/1224, 1575/1573, 12376/12375, 17920/17901, 34000/33957 | | 936/935, 1225/1224, 1575/1573, 12376/12375, 17920/17901, 34000/33957 | ||
| {{mapping| 317 1005 736 890 1097 1173 1296 }} | | {{mapping| 317 1005 736 890 1097 1173 1296 }} | ||
| | | −0.1109 | ||
| 0.1587 | | 0.1587 | ||
| 4.19 | | 4.19 | ||