12edo: Difference between revisions
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{{Sharpness-sharp1|12}} | {{Sharpness-sharp1|12}} | ||
{{EDOs|1edo, 2edo, 3edo, 4edo | {{EDOs|1edo, 2edo, 3edo, 4edo and 6edo}} can all be written using 12edo [[subset notation]]. | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
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== Approximation to JI == | == Approximation to JI == | ||
[[File:12ed2- | [[File:12ed2-7Limit.svg|250px|thumb|right|alt=alt : Your browser has no SVG support.|Selected 7-limit intervals approximated in 12edo]] | ||
=== 15-odd-limit interval mappings === | === 15-odd-limit interval mappings === | ||
The following table shows how [[15-odd-limit intervals]] are represented in 12edo. [[Prime harmonics]] are in '''bold'''; in[[consistent]] intervals are in ''italic''. | The following table shows how [[15-odd-limit intervals]] are represented in 12edo. [[Prime harmonics]] are in '''bold'''; in[[consistent]] intervals are in ''italic''. | ||
{| class="wikitable center-all mw-collapsible mw-collapsed" | {| class="wikitable center-all mw-collapsible mw-collapsed" | ||
|+ style= | |+style=white-space:nowrap| 15-odd-limit intervals by direct approximation (even if inconsistent) | ||
|- | |- | ||
! Interval, complement | ! Interval, complement | ||
| Line 441: | Line 441: | ||
| {{monzo| -19 12 }} | | {{monzo| -19 12 }} | ||
| [{{val| 12 19 }}] | | [{{val| 12 19 }}] | ||
| +0. | | +0.617 | ||
| 0. | | 0.617 | ||
| 0. | | 0.617 | ||
|- | |- | ||
| 2.3.5 | | 2.3.5 | ||
| 81/80, 128/125 | | 81/80, 128/125 | ||
| [{{val| 12 19 28 }}] | | [{{val| 12 19 28 }}] | ||
| | | -1.56 | ||
| 3.11 | | 3.11 | ||
| 3.11 | | 3.11 | ||
|- | |- | ||
| 2.3.5. | | 2.3.5.7 | ||
| | | 36/35, 50/49, 64/63 | ||
| [{{val| 12 19 28 | | [{{val| 12 19 28 34 }}] | ||
| | | -3.95 | ||
| | | 4.92 | ||
| | | 4.94 | ||
|- | |- | ||
| 2.3.5.17.19 | | 2.3.5.7.17 | ||
| | | 36/35, 50/49, 51/49, 64/63 | ||
| [{{val| 12 19 28 49 51 }}] | | [{{val| 12 19 28 34 49 }}] | ||
| | | -2.92 | ||
| | | 4.86 | ||
| | | 4.87 | ||
|- | |||
| 2.3.5.7.17.19 | |||
| 36/35, 50/49, 51/49, 57/56, 64/63 | |||
| [{{val| 12 19 28 34 49 51 }}] | |||
| -2.53 | |||
| 4.52 | |||
| 4.53 | |||
|} | |} | ||