50edo: Difference between revisions
CritDeathX (talk | contribs) |
+Error table and temperament measures table |
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<nowiki/> | <nowiki>*</nowiki> Using the 13-limit patent val, except as noted. | ||
=== Selected just intervals | == Just approximation == | ||
=== Selected just intervals === | |||
{| class="wikitable center-all" | |||
! colspan="2" | | |||
! prime 2 | |||
! prime 3 | |||
! prime 5 | |||
! prime 7 | |||
! prime 11 | |||
! prime 13 | |||
|- | |||
! rowspan="2" |Error | |||
! absolute (¢) | |||
| 0.0 | |||
| -6.0 | |||
| -2.3 | |||
| -8.8 | |||
| +0.7 | |||
| -0.5 | |||
|- | |||
! relative (%) | |||
| 0.0 | |||
| -24.8 | |||
| -9.6 | |||
| -36.8 | |||
| +2.8 | |||
| -2.2 | |||
|} | |||
==== 15-odd-limit mappings ==== | |||
The following table shows how [[15-odd-limit intervals]] are represented in 50edo (ordered by absolute error). Prime harmonics are in '''bold'''; inconsistent intervals are in ''italic''. | The following table shows how [[15-odd-limit intervals]] are represented in 50edo (ordered by absolute error). Prime harmonics are in '''bold'''; inconsistent intervals are in ''italic''. | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+Direct mapping | |+Direct mapping (even if inconsistent) | ||
|- | |- | ||
! Interval, complement | ! Interval, complement | ||
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| ''[[11/9|11/9]], [[18/11|18/11]]'' | | ''[[11/9|11/9]], [[18/11|18/11]]'' | ||
| ''12.592'' | | ''12.592'' | ||
|} | |||
=== Temperament measures === | |||
The following table shows [[TE temperament measures]] (RMS normalized by the rank) of 50et. | |||
{| class="wikitable center-all" | |||
! colspan="2" | | |||
! 3-limit | |||
! 5-limit | |||
! 7-limit | |||
! 11-limit | |||
! 13-limit | |||
|- | |||
! colspan="2" |Octave stretch (¢) | |||
| +1.88 | |||
| +1.58 | |||
| +1.98 | |||
| +1.54 | |||
| +1.31 | |||
|- | |||
! rowspan="2" |Error | |||
! [[TE error|absolute]] (¢) | |||
| 1.88 | |||
| 1.59 | |||
| 1.54 | |||
| 1.63 | |||
| 1.57 | |||
|- | |||
! [[TE simple badness|relative]] (%) | |||
| 7.83 | |||
| 6.62 | |||
| 6.39 | |||
| 6.76 | |||
| 6.54 | |||
|} | |} | ||