50edo: Difference between revisions

CritDeathX (talk | contribs)
+Error table and temperament measures table
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<nowiki/>* Using the 13-limit patent val, except as noted.
<nowiki>*</nowiki> Using the 13-limit patent val, except as noted.


=== Selected just intervals by error ===
== 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, even if inconsistent
|+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
|}
|}