540edo: Difference between revisions
Cmloegcmluin (talk | contribs) I've asked for the clutter of pages of different forms for the words defactor and enfactor to be deleted, so now pages that linked to them need to be updated to use the remaining working link |
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=== Prime harmonics === | === Prime harmonics === | ||
{{ | {{Harmonics in equal|540|columns=11}} | ||
=== Divisors === | === Divisors === | ||
540 is a very composite number. The prime factorization of 540 is 2<sup>2</sup> × 3<sup>3</sup> × 5. Its divisors are 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, and 270. | 540 is a very composite number. The prime factorization of 540 is 2<sup>2</sup> × 3<sup>3</sup> × 5. Its divisors are 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, and 270. | ||
== 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]] (%) | |||
|- | |||
| 2.3.5.7.11.13.17 | |||
| 676/675, 1001/1000, 1156/1155, 1716/1715, 3025/3024, 4096/4095 | |||
| [{{val| 540 856 1254 1516 1868 1998 2207 }}] | |||
| -0.0022 | |||
| 0.1144 | |||
| 5.15 | |||
|- | |||
| 2.3.5.7.11.13.17.19 | |||
| 676/675, 1001/1000, 1156/1155, 1216/1215, 1331/1330, 1445/1444, 1729/1728 | |||
| [{{val| 540 856 1254 1516 1868 1998 2207 2294 }}] | |||
| -0.0098 | |||
| 0.1088 | |||
| 4.90 | |||
|} | |||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||