27edo: Difference between revisions
Some synchronicitous theory notes. |
simplified links, added a bit of space here and there, set table titles apart |
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<nowiki/>* based on treating 27-EDO as a 2.3.5.7.13.19 subgroup temperament; other approaches are possible. | <nowiki/>* based on treating 27-EDO as a 2.3.5.7.13.19 subgroup temperament; other approaches are possible. | ||
Combining ups and downs notation with [[ | Combining ups and downs notation with [[color notation]], qualities can be loosely associated with colors: | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|- | |- | ||
! quality | ! quality | ||
! [[ | ! [[color name]] | ||
! monzo format | ! monzo format | ||
! examples | ! examples | ||
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| +30.6 | | +30.6 | ||
|} | |} | ||
The following table shows how [[15-odd-limit intervals]] are represented in 27edo. Prime harmonics are in '''bold'''; inconsistent intervals are in ''italic''. | The following table shows how [[15-odd-limit intervals]] are represented in 27edo. Prime harmonics are in '''bold'''; inconsistent intervals are in ''italic''. | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+Direct mapping (even if inconsistent) | |+ Direct mapping (even if inconsistent) | ||
|- | |||
! Interval, complement | ! Interval, complement | ||
! Error (abs, ¢) | ! Error (abs, ¢) | ||
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{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+Patent val mapping | |+ Patent val mapping | ||
!Interval, complement | |- | ||
!Error (abs, ¢) | ! Interval, complement | ||
! Error (abs, ¢) | |||
|- | |- | ||
| [[7/6]], [[12/7]] | | [[7/6]], [[12/7]] | ||
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=== Temperament measures === | === Temperament measures === | ||
The following table shows [[TE temperament measures]] (RMS normalized by the rank) of 27et. | The following table shows [[TE temperament measures]] (RMS normalized by the rank) of 27et. | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
! colspan="2" | | ! colspan="2" | | ||