524edo: Difference between revisions
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→Regular temperament properties: these should be subgroup monzos; correction of some data |
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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]] | ! rowspan="2" | [[Comma list]] | ||
! rowspan="2" |[[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" |Optimal | ! rowspan="2" | Optimal<br>8ve stretch (¢) | ||
8ve stretch (¢) | ! colspan="2" | Tuning error | ||
! colspan="2" |Tuning error | |||
|- | |- | ||
![[TE error|Absolute]] (¢) | ! [[TE error|Absolute]] (¢) | ||
![[TE simple badness|Relative]] (%) | ! [[TE simple badness|Relative]] (%) | ||
|- | |- | ||
|2.5 | | 2.5 | ||
|{{ | | {{monzo| 1217 -524 }} | ||
|[{{val|524 1217}}] | | [{{val| 524 1217 }}] | ||
| -0.152 | | -0.152 | ||
|0.153 | | 0.153 | ||
|6. | | 6.67 | ||
|- | |- | ||
|2.5.7 | | 2.5.7 | ||
|{{ | | {{monzo| 33 -13 -1 }}, {{monzo| -4 -43 37 }} | ||
|[{{val|524 1217 1471}}] | | [{{val|524 1217 1471}}] | ||
| -0.087 | | -0.087 | ||
|0.155 | | 0.155 | ||
|6.79 | | 6.79 | ||
|- | |- | ||
|2.5.7.11 | | 2.5.7.11 | ||
|1835008/1830125, {{ | | 1835008/1830125, {{monzo| 3 7 3 -8 }}, {{monzo| -13 -5 10 -1 }} | ||
|[{{val|524 1217 1471 1813}}] | | [{{val| 524 1217 1471 1813 }}] | ||
| -0.108 | | -0.108 | ||
|0.139 | | 0.139 | ||
|6. | | 6.09 | ||
|- | |- | ||
|2.5.7.11.13 | | 2.5.7.11.13 | ||
|1001/1000, 742586/741125, 2097152/2093663, 14201915/14172488 | | 1001/1000, 742586/741125, 2097152/2093663, 14201915/14172488 | ||
|[{{val|524 1217 1471 1813 1939}}] | | [{{val| 524 1217 1471 1813 1939 }}] | ||
| -0.082 | | -0.082 | ||
|0.135 | | 0.135 | ||
|5. | | 5.88 | ||
|- | |- | ||
|2.5.7.11.13.17 | | 2.5.7.11.13.17 | ||
|1001/1000, 6664/6655, 54080/54043, 147968/147875, 285719/285610 | | 1001/1000, 6664/6655, 54080/54043, 147968/147875, 285719/285610 | ||
|[{{val|524 1217 1471 1813 1939 2142}}] | | [{{val| 524 1217 1471 1813 1939 2142 }}] | ||
| -0.084 | | -0.084 | ||
|0.122 | | 0.122 | ||
| | | 5.37 | ||
|} | |} | ||
[[Category:Equal divisions of the octave]] | |||