311edo: Difference between revisions
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== Intervals == | == Intervals == | ||
{{main| Table of 311edo intervals }} | {{main| Table of 311edo intervals }} | ||
== Regular temperament properties == | |||
{| class="wikitable center-4 center-5 center-6" | |||
! rowspan="2" | Subgroup | |||
! rowspan="2" | [[Comma list]] | |||
! rowspan="2" | [[Mapping]] | |||
! rowspan="2" | Optimal<br>8ve stretch (¢) | |||
! colspan="2" | Tuning error | |||
|- | |||
! [[TE error|Absolute]] (¢) | |||
! [[TE simple badness|Relative]] (%) | |||
|- | |||
| 2.3 | |||
| {{monzo| 493 -311 }} | |||
| [{{val| 311 493 }}] | |||
| -0.0933 | |||
| 0.0933 | |||
| 2.42 | |||
|- | |||
| 2.3.5 | |||
| 1600000/1594323, {{monzo| -59 5 22 }} | |||
| [{{val| 311 493 722 }}] | |||
| +0.0040 | |||
| 0.1573 | |||
| 4.08 | |||
|- | |||
| 2.3.5.7 | |||
| 2401/2400, 65625/65536, 1600000/1594323 | |||
| [{{val| 311 493 722 873 }}] | |||
| +0.0331 | |||
| 0.1453 | |||
| 3.76 | |||
|- | |||
| 2.3.5.7.11 | |||
| 2401/2400, 3025/3024, 4000/3993, 19712/19683 | |||
| [{{val| 311 493 722 873 1076 }}] | |||
| +0.0004 | |||
| 0.1454 | |||
| 3.77 | |||
|- | |||
| 2.3.5.7.11.13 | |||
| 625/624, 1575/1573, 2080/2079, 2200/2197, 2401/2400 | |||
| [{{val| 311 493 722 873 1076 1151 }}] | |||
| -0.0280 | |||
| 0.1472 | |||
| 3.81 | |||
|- | |||
| 2.3.5.7.11.13.17 | |||
| 595/594, 625/624, 833/832, 1156/1155, 1575/1573, 2200/2197 | |||
| [{{val| 311 493 722 873 1076 1151 1271 }}] | |||
| +0.0031 | |||
| 0.1561 | |||
| 4.05 | |||
|- | |||
| 2.3.5.7.11.13.17.19 | |||
| 595/594, 625/624, 833/832, 969/968, 1156/1155, 1216/1215, 1575/1573 | |||
| [{{val| 311 493 722 873 1076 1151 1271 1321 }}] | |||
| +0.0146 | |||
| 0.1492 | |||
| 3.87 | |||
|- | |||
| 2.3.5.7.11.13.17.19.23 | |||
| 595/594, 625/624, 760/759, 833/832, 875/874, 969/968, 1105/1104, 1156/1155 | |||
| [{{val| 311 493 722 873 1076 1151 1271 1321 1407 }}] | |||
| -0.0033 | |||
| 0.1496 | |||
| 3.88 | |||
|} | |||
[[Category:Theory]] | [[Category:Theory]] | ||